Open Access. Powered by Scholars. Published by Universities.^{®}

- Keyword

- Publication

Articles **1** - **21** of ** 21**

## Full-Text Articles in Physics

Renormalization Of The Energy-Momentum Tensor And The Validity Of The Equivalence Principle At Finite Temperature, Jf Donoghue, Br Holstein, Rw Robinett

#### Renormalization Of The Energy-Momentum Tensor And The Validity Of The Equivalence Principle At Finite Temperature, Jf Donoghue, Br Holstein, Rw Robinett

*Barry R Holstein*

Using the techniques of finite-temperature field theory we renormalize the electromagnetic and gravitational couplings of an electron which is immersed in a heat bath with T

Comment On Aproaches To The Tricritical Point In Quasibinary Liquid Mixtures, Miron Kaufman, Robert B. Griffiths

#### Comment On Aproaches To The Tricritical Point In Quasibinary Liquid Mixtures, Miron Kaufman, Robert B. Griffiths

*Miron Kaufman*

No abstract provided.

Pseudodimensional Variation And Tricriticality Of Potts Models By Hierarchical Breaking Of Translational Invariance, Miron Kaufman, Mehran Kardar

#### Pseudodimensional Variation And Tricriticality Of Potts Models By Hierarchical Breaking Of Translational Invariance, Miron Kaufman, Mehran Kardar

*Miron Kaufman*

Potts models with equivalent- and nearest-neighbor interactions are solved exactly on Cayley trees. A parameter D is identified that plays a role similar to the spatial dimension on Bravais lattices. Breaking translational symmetry by the Cayley-tree hierarchy reduces D, leading to a changeover in the order of the phase transition via a novel tricritical point.

Guage Invariant De Gennes Model, Anthony Day, T. Lubensky

#### Guage Invariant De Gennes Model, Anthony Day, T. Lubensky

*Anthony Roy Day*

A gauge-invariant formulation of the de Gennes model for the nematic—to—smectic-A transition is presented. In this formulation the energy associated with the gauge field A⃗ reduces to the Frank elastic energy with the application of the constraint n⃗0·A⃗=0 where n⃗0 is the uniform equilibrium director and A⃗ is to be identified with deviations δn⃗ of the director from equilibrium. It is shown that thermodynamic quantities and renormalization-group recursion relations are gauge invariant. All gauge dependence appears in the exponent η describing order-parameter correlations. The gauge invariance of a negative dielectric anisotropy smectic-A in an ...

Spin Systems On Hierarchical Lattices. Ii. Some Examples Of Soluble Models, Miron Kaufman, Robert B. Griffiths

#### Spin Systems On Hierarchical Lattices. Ii. Some Examples Of Soluble Models, Miron Kaufman, Robert B. Griffiths

*Miron Kaufman*

Several examples are given of soluble models of phase-transition phenomena utilizing classical discrete spin systems with nearest-neighbor interaction on hierarchical lattices. These include critical exponents which depend continuously on a parameter, the Potts model on a lattice with two different coupling constants, surface tension, and excess free energy of a line of defects. In each case we point out similarities and differences with a corresponding Bravais-lattice model.

Duality And Potts Critical Amplitudes On A Class Of Hierarchical Lattices, Miron Kaufman

#### Duality And Potts Critical Amplitudes On A Class Of Hierarchical Lattices, Miron Kaufman

*Miron Kaufman*

By using the duality transformation on a class of hierarchical lattices, I show that the Potts critical amplitudes above and below the critical temperature are equal. Logarithmic modifications of the power-law singularity occur when the exponent 2—alpha is an even integer, but do not occur when 2—alpha equals an odd integer.

Short-Range And Infinite-Range Bond Percolation, Miron Kaufman, Mehran Kardar

#### Short-Range And Infinite-Range Bond Percolation, Miron Kaufman, Mehran Kardar

*Miron Kaufman*

A method for generalizing bond-percolation problems to include the possibility of infinite-range (equivalent-neighbor) bonds is presented. On Bravais lattices the crossover from nonclassical to classical (mean-field) percolation criticality in the presence of such bonds is described. The Cayley tree with nearest-neighbor and equivalent-neighbor bonds is solved exactly, and a nonuniversal line of percolation transitions with exponents dependent on nearest-neighbor bond occupation probability is observed. Points of logarithmic and exponential singularity are also encountered, and the behavior is interpreted as dimensional reduction due to the breaking of translational invariance by bonds of Cayley-tree connectivity.

Critical Amplitude Of The Potts Model: Zeroes And Divergences, Miron Kaufman, David Andelman

#### Critical Amplitude Of The Potts Model: Zeroes And Divergences, Miron Kaufman, David Andelman

*Miron Kaufman*

The critical amplitude of the q-state Potts-model free energy is studied as a function of q in two dimensions and on the diamond hierarchical lattice. The amplitude diverges at an infinite number of q values, qn,introducing logarithmic terms in the free energy. We expect that in each interval (qn,qn+1) there is a q value where the amplitude vanishes, affecting the singularity of the free energy as a function of temperature. Possible consequences for gelation and vulcanization of polymers are discussed.

Comment On Criticality Of The Anisotropic Quantum Heisenberg Model On A Self-Dual Hierarchical Lattice, Miron Kaufman, Mehran Kardar

#### Comment On Criticality Of The Anisotropic Quantum Heisenberg Model On A Self-Dual Hierarchical Lattice, Miron Kaufman, Mehran Kardar

*Miron Kaufman*

No abstract provided.

Realizable Renormalization Group And Finite-Size Scaling, Miron Kaufman, K. K. Mon

#### Realizable Renormalization Group And Finite-Size Scaling, Miron Kaufman, K. K. Mon

*Miron Kaufman*

We propose a sequence of renormalization-group transformations which are exact on hierarchical lattices and we argue, by employing finite-size scaling, that the corresponding sequence of critical exponents converges towards the exact values associated with a Bravais lattice. A test of this method is also presented.

Possibilities For Finite Grand Unification With N = 2 Supersymmetry, Asim Gangopadhyaya

#### Possibilities For Finite Grand Unification With N = 2 Supersymmetry, Asim Gangopadhyaya

*Asim Gangopadhyaya*

Predicting The Proton Mass From Pi-Pi-Scattering Data, Jf Donoghue, E Golowich, Br Holstein

#### Predicting The Proton Mass From Pi-Pi-Scattering Data, Jf Donoghue, E Golowich, Br Holstein

*Barry R Holstein*

We relate experimental information on ππ scattering to tree-level effective chiral Lagrangians. The result is of a form similar to that used in Skyrme-type models of the proton, where the nucleons are described as topologically stable solitons of the chiral fields. In such models, one can express the proton mass in terms of measured scattering data, with the result Mp=880±300 MeV. We interpret this as a consistency test for the Skyrme models.

Kaon Decays And A Determination Of The Scale Of Chiral Symmetry, John Donoghue, E. Golowich, Barry Holstein

#### Kaon Decays And A Determination Of The Scale Of Chiral Symmetry, John Donoghue, E. Golowich, Barry Holstein

*John Donoghue*

The Temperature Measured By A Uniformly Accelerated Observer, John Donoghue

#### The Temperature Measured By A Uniformly Accelerated Observer, John Donoghue

*John Donoghue*

*a*percieves himself as immersed in a heat bath of temperature

*kT=axn/2pic*.

The Gluon "Mass" In The Bag Model, John Donoghue

#### The Gluon "Mass" In The Bag Model, John Donoghue

*John Donoghue*

Renormalization Of The Energy Momentum Tensor And The Validity Of The Equivalence Principle At Finite Temperature, John Donoghue, Barry Holstein, R.W. Robinett

#### Renormalization Of The Energy Momentum Tensor And The Validity Of The Equivalence Principle At Finite Temperature, John Donoghue, Barry Holstein, R.W. Robinett

*John Donoghue*

Chiral Symmetry And The Penguin Interaction, John Donoghue

#### Chiral Symmetry And The Penguin Interaction, John Donoghue

*John Donoghue*

Electromagnetic Decays Of Glueballs, John Donoghue

#### Electromagnetic Decays Of Glueballs, John Donoghue

*John Donoghue*

Predicting The Proton Mass From Pipi Scattering Data, John Donoghue, E. Golowich, Barry Holstein

#### Predicting The Proton Mass From Pipi Scattering Data, John Donoghue, E. Golowich, Barry Holstein

*John Donoghue*

Direct Quark Model Calculation Of Weak Nonleptonic Matrix Elements, John Donoghue

#### Direct Quark Model Calculation Of Weak Nonleptonic Matrix Elements, John Donoghue

*John Donoghue*

Long Distance Chiral Contribution To The Klks Mass Difference, John Donoghue, Eugene Golowich, Barry R. Holstein

#### Long Distance Chiral Contribution To The Klks Mass Difference, John Donoghue, Eugene Golowich, Barry R. Holstein

*John Donoghue*