Physics Commons^™

Gauge-Gravity Duality And Its Applications To Cosmology And Fluid Dynamics, Jae-Hyuk Oh

University of Kentucky Doctoral Dissertations

This thesis is devoted to the study of two important applications of gauge-gravity duality: the cosmological singularity problem and conformal fluid dynamics. Gauge-gravity duality is a concrete dual relationship between a gauge theory (such as electromagnetism, the theories of weak and strong interactions), and a theory of strings which contains gravity. The most concrete application of this duality is the AdS/CFT correspondence, where the theory containing gravity lives in the bulk of an asymptotically anti-de-Sitter space-time, while the dual gauge theory is a deformation of a conformal field theory which lives on the boundary of anti-de-Sitter space-time(AdS).

Our first application …

A Systematic Study Of Thermodynamic And Transport Properties Of Layered 4d And 5d Correlated Electron Systems, Shalinee Chikara

University of Kentucky Doctoral Dissertations

Correlated electron materials have been at the forefront of condensed matter research in the past couple of decades. Correlation in materials, especially, with open d and f electronic shells often lead to very exciting and intriguing phenomenon like high temperature superconductivity, Mott metal-insulator transition, colossal magnetoresistance (CMR). This thesis focuses on triple-layered Sr₄Ru₃O₁₀, Sr substituted double layered (Ca1-- xA_x)₃Ru₂O₇ (A = Ba, Sr) and 5d system Sr₂IrO₄ and Sr₃Ir₂O₇. Triple-layered Sr₄Ru₃O_{10 …}

Universal Binding And Recoil Corrections To Bound State G-Factors, Timothy James Semple Martin

University of Kentucky Doctoral Dissertations

The gyromagnetic ratio of bound particles is an active field of experimental and theoretical research. Early measurements of corrections to the bound g-factor came from experiments involving hydrogen-like ions. As the sensitivity of such experiments has increased, it has become possible to instead use them to measure the electron-ion mass ratio -- but only if the theoretical bound g-factor is known with sufficient precision for these systems. By constructing an effective nonrelativistic Lagrangian, we derive leading order binding and recoil corrections for systems comprised of particles with arbitrary spin.

Lagrangians for spin one-half and spin one-theories are developed, …