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Full-Text Articles in Physics

A Harmonic Solution For Two-Dimensional Adjoint Qcd, Uwe Trittmann Aug 2018

A Harmonic Solution For Two-Dimensional Adjoint Qcd, Uwe Trittmann

Physics Faculty Scholarship

Two-dimensional QCD with adjoint fermions has many attractive features, yet its single-particle content remains largely unknown. To lay the foundation for a crucially improved approximation of the theory’s spectrum, we developed a method to find the basis of eigenstates using the symmetry structure of the asymptotic theory where pair production is disallowed. This method produces complete sets of multidimensional harmonic functions for the massless and the massive theory. Previously only part of such a basis was known. The method presented here should be applicable to other theories and has the promise of factoring out the long-range Coulomb-type part of interactions. …


Grasping The Fundamental Physics Of Xenon, Matthew M. Szydagis Feb 2015

Grasping The Fundamental Physics Of Xenon, Matthew M. Szydagis

Physics Faculty Scholarship

Direct searches for dark matter using noble liquids, especially liquid xenon in recent years, have obtained the best sensitivities in the field for moderate to high-mass dark-matter WIMPs. Along with the development of this technology, there has been a continued effort in the community to better understand the detailed scintillation and ionization responses of noble liquids in the presence of low-energy ionizing radiation. As this body of knowledge is reaching a mature state, a unified software framework for simulating scintillation and ionization production in these detectors is strongly needed. In this talk, I introduce NEST: Noble Element Simulation Technique, which …


A Xenon Bubble Chamber For Direct Dark Matter Detection, Matthew M. Szydagis Jan 2015

A Xenon Bubble Chamber For Direct Dark Matter Detection, Matthew M. Szydagis

Physics Faculty Scholarship

With the lack of discovery of WIMPs at high mass, and hints of signals at low masses, it is becoming increasingly important for direct dark matter detectors to set low thresholds. With a hypothetically completely tuneable threshold based on pressure and temperature, a bubble chamber could be the ideal detector to search for sub-GeV WIMPs and other light exotica. However, this technology has its own drawbacks, such as an unknown recoil energy on an event-by-event basis. By combining this technology with that of the xenon time-projection chamber, however, the strengths of both of these approaches are merged, leading to a …


Supergravity Backgrounds For Deformations Of Adsn×Sn Supercoset String Models, Oleg Lunin, Radu Roiban, Arkady Tseytlin Dec 2014

Supergravity Backgrounds For Deformations Of Adsn×Sn Supercoset String Models, Oleg Lunin, Radu Roiban, Arkady Tseytlin

Physics Faculty Scholarship

We consider type IIB supergravity backgrounds corresponding to the deformed AdS_n x S^n supercoset string models of the type constructed in arXiv:1309.5850 which depend on one deformation parameter k. In AdS_2 x S^2 case we find that the deformed metric can be extended to a full supergravity solution with non-trivial dilaton, RR scalar and RR 5-form strength. The solution depends on a free parameter (called a) that should be chosen as a particular function of k to correspond to the deformed supercoset model. In AdS_3 x S^3 case the full solution supported by the dilaton, RR scalar and RR 3-form …


A Potential Foundation For Emergent Space-Time, Kevin H. Knuth, Newshaw Bahreyni Nov 2014

A Potential Foundation For Emergent Space-Time, Kevin H. Knuth, Newshaw Bahreyni

Physics Faculty Scholarship

We present a novel derivation of both the Minkowski metric and Lorentz transformations from the consistent quantification of a causally ordered set of events with respect to an embedded observer. Unlike past derivations, which have relied on assumptions such as the existence of a 4-dimensional manifold, symmetries of space-time, or the constant speed of light, we demonstrate that these now familiar mathematics can be derived as the unique means to consistently quantify a network of events. This suggests that space-time need not be physical, but instead the mathematics of space and time emerges as the unique way in which an …


Physics: Rethinking The Foundations, Kevin H. Knuth Oct 2014

Physics: Rethinking The Foundations, Kevin H. Knuth

Physics Faculty Scholarship

Physics is traditionally conceived of as a set of laws that universally governs the behavior of physical systems. These laws, however they are decreed, are believed to govern the behavior of not only everything in the universe, but the form of the universe itself. However, this traditional concept of physics as a universal governance is at odds with our modern theories of quantum mechanics and relativity, which place the observer and information in a central role. In this talk, I aim to rethink the foundations and attempt to build physics from the bottom up based on a very simple foundational …


Higgs Boson Mass In The Standard Model At Two-Loop Order And Beyond, Steve P. Martin, David G. Robertson Oct 2014

Higgs Boson Mass In The Standard Model At Two-Loop Order And Beyond, Steve P. Martin, David G. Robertson

Physics Faculty Scholarship

We calculate the mass of the Higgs boson in the standard model in terms of the underlying Lagrangian parameters at complete 2-loop order with leading 3-loop corrections. A computer program implementing the results is provided. The program also computes and minimizes the standard model effective potential in Landau gauge at 2-loop order with leading 3-loop corrections.


Modeling A Sensor To Improve Its Efficacy, Nabin K. Malakar, Daniil Gladkov, Kevin H. Knuth May 2013

Modeling A Sensor To Improve Its Efficacy, Nabin K. Malakar, Daniil Gladkov, Kevin H. Knuth

Physics Faculty Scholarship

Robots rely on sensors to provide them with information about their surroundings. However, high-quality sensors can be extremely expensive and cost-prohibitive. Thus many robotic systems must make due with lower-quality sensors. Here we demonstrate via a case study how modeling a sensor can improve its efficacy when employed within a Bayesian inferential framework. As a test bed we employ a robotic arm that is designed to autonomously take its own measurements using an inexpensive LEGO light sensor to estimate the position and radius of a white circle on a black field. The light sensor integrates the light arriving from a …


Information-Based Physics: An Intelligent Embedded Agent's Guide To The Universe, Kevin H. Knuth Mar 2013

Information-Based Physics: An Intelligent Embedded Agent's Guide To The Universe, Kevin H. Knuth

Physics Faculty Scholarship

In this talk, I propose an approach to understanding the foundations of physics by considering the optimal inferences an intelligent agent can make about the universe in which he or she is embedded. Information acts to constrain an agent’s beliefs. However, at a fundamental level, any information is obtained from interactions where something influences something else. Given this, the laws of physics must be constrained by both the nature of such influences and the rules by which we can make inferences based on information about these influences. I will review the recent progress we have made in this direction. This …


Mhz Few-Body Frequency Shift Detected In A Cold 85rb Rydberg Gas, Jianing Han Jan 2011

Mhz Few-Body Frequency Shift Detected In A Cold 85rb Rydberg Gas, Jianing Han

Physics Faculty Scholarship

We have observed a density-dependent frequency shift of more than 4 MHz in a cold 85Rb Rydberg gas trapped in a magneto-optical trap. A one-dimensional linearly aligned four-body model is proposed to explain the experimental data, and the calculation matches the experimental data. The calculation also shows that if the energy detuning between the two coupled states, the nsnsns(n + 1)s and nsnsnpnp states in this case, is small, the lowest level of the nsnsnpnp manifold has the maximum mixing probability, causing a frequency shift instead of line broadening. The results reported may be used for few-body blockade, Rydberg single-atom …


The Density Broadening In A Sodium F=2 Condensate Detected By A Pulse Train, Jianing Han Jan 2011

The Density Broadening In A Sodium F=2 Condensate Detected By A Pulse Train, Jianing Han

Physics Faculty Scholarship

The dipole-blockaded sodiumclock transition has been detected by high resolution microwave spectroscopy, the multiple-pulse spectroscopy. This spectroscopic technique has been first used to detect the density broadening and shifting in a Sodium Bose Einstein Condensate (BEC) by probing the sodium clock-transition. Moreover, by narrowing the pulse-width of the pulses, some of the broadening mechanisms can be partially reduced. The results reported here are essential steps toward the ground-statequantum computing, few-body spectroscopy, spin squeezing and quantum metrology.


The Bes F0(1810): A New Glueball Candidate, Pedro Bicudo, S.R. Cotanch, Felipe J. Llanes-Estrada, David G. Robertson Oct 2007

The Bes F0(1810): A New Glueball Candidate, Pedro Bicudo, S.R. Cotanch, Felipe J. Llanes-Estrada, David G. Robertson

Physics Faculty Scholarship

We analyze the f0(1810) state recently observed by the BES collaboration via radiative J/ψ decay to a resonant φω spectrum and confront it with DM2 data and glueball theory. The DM2 group only measured ωω decays and reported a pseudoscalar but no scalar resonance in this mass region. A rescattering mechanism from the open flavored KK̄ decay channel is considered to explain why the resonance is only seen in the flavor asymmetric ωφ branch along with a discussion of positive C-parity charmonia decays to strengthen the case for preferred open flavor glueball decays. We also calculate the total decay width …


Tsil: A Program For The Calculation Of Two-Loop Self-Energy Integrals, Steve P. Martin, David G. Robertson Jan 2006

Tsil: A Program For The Calculation Of Two-Loop Self-Energy Integrals, Steve P. Martin, David G. Robertson

Physics Faculty Scholarship

TSIL is a library of utilities for the numerical calculation of dimensionally regularized two-loop self-energy integrals. A convenient basis for these functions is given by the integrals obtained at the end of O.V. Tarasov's recurrence relation algorithm. The program computes the values of all of these basis functions, for arbitrary input masses and external momentum. When analytical expressions in terms of polylogarithms are available, they are used. Otherwise, the evaluation proceeds by a Runge–Kutta integration of the coupled first-order differential equations for the basis integrals, using the external momentum invariant as the independent variable. The starting point of the integration …


Renormalization Scale Invariant Pqcd Predictions For R(E+ E-) And The Bjorken Sum Rule At Next-To-Leading Order, Michael Binger, Chueng-Ryong Ji, David G. Robertson May 2000

Renormalization Scale Invariant Pqcd Predictions For R(E+ E-) And The Bjorken Sum Rule At Next-To-Leading Order, Michael Binger, Chueng-Ryong Ji, David G. Robertson

Physics Faculty Scholarship

We discuss the application of the physical QCD effective charge αV, defined via the heavy-quark potential, in perturbative calculations at next-to-leading order. When coupled with the Brodsky-Lepage-Mackenzie prescription for fixing the renormalization scales, the resulting series are automatically and naturally scale and scheme independent, and represent unambiguous predictions of perturbative QCD. We consider in detail such commensurate scale relations for the e+e− annihilation ratio Re+e− and the Bjorken sum rule. In both cases the improved predictions are in excellent agreement with experiment.


On The Bosonic Spectrum Of Qcd (1+1) With Su(N) Currents, Uwe Trittmann Jan 2000

On The Bosonic Spectrum Of Qcd (1+1) With Su(N) Currents, Uwe Trittmann

Physics Faculty Scholarship

In this note we calculate the spectrum of two-dimensional QCD. We formulate the theory with SU(Nc) currents rather than with fermionic operators. We construct the Hamiltonian matrix in DLCQ formulation as a function of the harmonic resolution K and the numbers of flavors N f and colors N c.The resulting numerical eigenvalue spectrum is free from trivial multi-particle states which obscured previous results. The well-known ’t Hooft and large N f spectra are reproduced. In the case of adjoint fermions we present some new results.


Towards Testing The Maldacena Conjecture With Sdlcq, Uwe Trittmann Jan 2000

Towards Testing The Maldacena Conjecture With Sdlcq, Uwe Trittmann

Physics Faculty Scholarship

We consider the Maldacena conjecture applied to the near horizon geometry of a D1-brane in the supergravity approximation and present numerical results of a test of the conjecture against the boundary field theory calculation using supersymmetric discrete light-cone quantization (SDLCQ). We present numerical results with approximately 1000 times as many states as we previously considered. These results support the Maldacena conjecture and are within 10–15% of the predicted numerical results in some regions. Our results are still not sufficient to demonstrate convergence, and, therefore, cannot be considered to a numerical proof of the conjecture. We present a method for …


Renormalized Effective Qcd Hamiltonian: Gluonic Sector, David G. Robertson, E.S. Swanson, A.P. Szczepaniak, C.R. Ji, S.R. Cotanch Mar 1999

Renormalized Effective Qcd Hamiltonian: Gluonic Sector, David G. Robertson, E.S. Swanson, A.P. Szczepaniak, C.R. Ji, S.R. Cotanch

Physics Faculty Scholarship

Extending previous QCD Hamiltonian studies, we present a new renormalization procedure which generates an effective Hamiltonian for the gluon sector. The formulation is in the Coulomb gauge where the QCD Hamiltonian is renormalizable and the Gribov problem can be resolved. We utilize elements of the Głazek and Wilson regularization method but now introduce a continuous cut-off procedure which eliminates non-local counterterms. The effective Hamiltonian is then derived to second order in the strong coupling constant. The resulting renormalized Hamiltonian provides a realistic starting point for approximate many-body calculations of hadronic properties for systems with explicit gluon degrees of freedom.


Renormalized Effective Hamiltonian Approach To Qcd, David G. Robertson Jun 1998

Renormalized Effective Hamiltonian Approach To Qcd, David G. Robertson

Physics Faculty Scholarship

Continuing our previous QCD Hamiltonian studies in the gluonic and quark sectors, we describe a new renormalization procedure which generates an effective Hamiltonian. The formulation, which is in the Coulomb gauge, provides an improved framework for investigating hadron structure.


Optimal Renormalization Scale And Scheme For Exclusive Processes, Stanley J. Brodsky, Chueng-Ryong Ji, Alex Pang, David G. Robertson Jan 1998

Optimal Renormalization Scale And Scheme For Exclusive Processes, Stanley J. Brodsky, Chueng-Ryong Ji, Alex Pang, David G. Robertson

Physics Faculty Scholarship

We use the Brodsky-Lepage-Mackenzie (BLM) method to fix the renormalization scale of the QCD coupling in exclusive hadronic amplitudes such as the pion form factor and the photon-to-pion transition form factor at large momentum transfer. Renormalization-scheme-independent commensurate scale relations are established which connect the hard scattering subprocess amplitudes that control exclusive processes to other QCD observables such as the heavy quark potential and the electron-positron annihilation cross section. The commensurate scale relation connecting the heavy quark potential, as determined from lattice gauge theory, to the photon-to-pion transition form factor is in excellent agreement with γe⃗ π0e data assuming that the …


Vacuum Structure Of Two-Dimensional Gauge Theories On The Light Front, Gary Mccartor, David G. Robertson, Stephen S. Pinksy Jul 1997

Vacuum Structure Of Two-Dimensional Gauge Theories On The Light Front, Gary Mccartor, David G. Robertson, Stephen S. Pinksy

Physics Faculty Scholarship

We discuss the problem of vacuum structure in light-front field theory in the context of (1+1)-dimensional gauge theories. We begin by reviewing the known light-front solution of the Schwinger model, highlighting the issues that are relevant for reproducing the θ structure of the vacuum. The most important of these are the need to introduce degrees of freedom initialized on two different null planes, the proper incorporation of gauge field zero modes when periodicity conditions are used to regulate the infrared, and the importance of carefully regulating singular operator products in a gauge-invariant way. We then consider SU(2) Yang-Mills theory in …


Physical Coupling Schemes And Qcd Exclusive Processes, David G. Robertson Feb 1997

Physical Coupling Schemes And Qcd Exclusive Processes, David G. Robertson

Physics Faculty Scholarship

I discuss application of the BLM method to obtain commensurate scale relations connecting QCD exclusive amplitudes to other observables, in particular the heavy quark potential.


Θ Vacua In The Light-Cone Schwinger Model, Alex C. Kalloniatis, David G. Robertson Jul 1996

Θ Vacua In The Light-Cone Schwinger Model, Alex C. Kalloniatis, David G. Robertson

Physics Faculty Scholarship

We discuss the bosonized Schwinger model in light-cone quantization, using discretization as an infrared regulator. We consider both the light-cone Coulomb gauge, in which all gauge freedom can be removed and a physical Hilbert space employed, and the light-cone Weyl (temporal) gauge, in which the Hilbert space is unphysical and a Gauss law operator is used to select a physical subspace. We describe the different ways in which the θ vacuum is manifested depending on this choice of gauge, and compute the θ-dependence of the chiral condensate in each case.


Light Front Qcd In (1+1)-Dimensions Coupled To Chiral Adjoint Fermions, David G. Robertson, Stephen S. Pinksy Jun 1996

Light Front Qcd In (1+1)-Dimensions Coupled To Chiral Adjoint Fermions, David G. Robertson, Stephen S. Pinksy

Physics Faculty Scholarship

We consider SU(N) gauge theory in 1+1 dimensions coupled to chiral fermions in the adjoint representation of the gauge group. With all fields in the adjoint representation the gauge group is actually , which possesses nontrivial topology. In particular, there are N distinct topological sectors and the physical vacuum state has a structure analogous to a θ vacuum. We show how this feature is realized in light-front quantization for the case N = 2, using discretization as an infrared regulator. In the discretized form of the theory the nontrivial vacuum structure is associated with the zero momentum mode of the …


The Vacuum In Light Cone Field Theory, David G. Robertson Jan 1996

The Vacuum In Light Cone Field Theory, David G. Robertson

Physics Faculty Scholarship

This is an overview of the problem of the vacuum in light-cone field theory, stressing its close connection to other puzzles regarding light-cone quantization. I explain the sense in which the light-cone vacuum is ``trivial,'' and describe a way of setting up a quantum field theory on null planes so that it is equivalent to the usual equal-time formulation. This construction is quite helpful in resolving the puzzling aspects of the light-cone formalism. It furthermore allows the extraction of effective Hamiltonians that incorporate vacuum physics, but that act in a Hilbert space in which the vacuum state is simple. The …


Light Cone Quantization And Qcd Phenomenology, Stanley J. Brodsky, David G. Robertson Jul 1995

Light Cone Quantization And Qcd Phenomenology, Stanley J. Brodsky, David G. Robertson

Physics Faculty Scholarship

In principle, quantum chromodynamics provides a fundamental description of hadronic and nuclear structure and dynamics in terms of their elementary quark and gluon degrees of freedom. In practice, the direct application of QCD to reactions involving the structure of hadrons is complex because of the interplay of nonperturbative effects such as color confinement and multi-quark coherence. A crucial tool in analyzing such phenomena is the use of relativistic light-cone quantum mechanics and Fock state methods to provide tractable and consistent treatments of relativistic many-body systems. We begin with a brief introduction to light-cone field theory, stressing how it may allow …


The Mandelstam-Leibbrandt Prescription In Light Cone Quantization Gauge Theories, Gary Mccartor, David G. Robertson Jun 1995

The Mandelstam-Leibbrandt Prescription In Light Cone Quantization Gauge Theories, Gary Mccartor, David G. Robertson

Physics Faculty Scholarship

Quantization of gauge theories on characteristic surfaces and in the light-cone gauge is discussed. Implementation of the Mandelstam-Leibbrandt prescription for the spurious singularity is shown to require two distinct null planes, with independent degrees of freedom initialized on each. The relation of this theory to the usual light-cone formulation of gauge field theory, using a single null plane, is described. A connection is established between this formalism and a recently given operator solution to the Schwinger model in the light-cone gauge.


On The Discretized Light Cone Quantization Of Electrodynamics, Alex C. Kalloniatis, David G. Robertson Oct 1994

On The Discretized Light Cone Quantization Of Electrodynamics, Alex C. Kalloniatis, David G. Robertson

Physics Faculty Scholarship

Discretized light-cone quantization of (3+1)-dimensional electrodynamics is discussed, with careful attention paid to the interplay between gauge choice and boundary conditions. In the zero longitudinal momentum sector of the theory a general gauge fixing is performed, and the corresponding relations that determine the zero modes of the gauge field are obtained. One particularly natural gauge choice in the zero mode sector is identified, for which the constraint relations are simplest and the fields may be taken to satisfy the usual canonical commutation relations. The constraints are solved in perturbation theory, and the Poincaré generators Pμ are constructed. The effect of …


Light Front Qcd And The Constituent Quark Model, Kenneth G. Wilson, David G. Robertson Aug 1994

Light Front Qcd And The Constituent Quark Model, Kenneth G. Wilson, David G. Robertson

Physics Faculty Scholarship

A general strategy is described for deriving a constituent approximation to QCD, inspired by the constituent quark model and based on light-front quantization. Some technical aspects of the approach are discussed, including a mechanism for obtaining a confining potential and ways in which spontaneous chiral symmetry breaking can be manifested


Light Cone Quantization Of Electrodynamics, David G. Robertson Aug 1994

Light Cone Quantization Of Electrodynamics, David G. Robertson

Physics Faculty Scholarship

Light-cone quantization of (3+1)-dimensional electrodynamics is discussed, using discretization as an infrared regulator and paying careful attention to the interplay between gauge choice and boundary conditions. In the zero longitudinal momentum sector of the theory a general gauge fixing is performed and the corresponding relations that determine the constrained modes of the gauge field are obtained. The constraints are solved perturbatively and the structure of the theory is studied to lowest nontrivial order.


Light Cone Quantization Of Gauge Fields, Gary Mccartor, David G. Robertson Jun 1994

Light Cone Quantization Of Gauge Fields, Gary Mccartor, David G. Robertson

Physics Faculty Scholarship

Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the Mandelstam-Leibbrandt form of the gauge field propagator. Some aspects of the “discretized” light-cone quantization of gauge fields are discussed.