Entropy bounds and Cardy-Verlinde formula in Yang-Mills theory

TL;DR

This paper explores the connection between three-dimensional SU(2) Yang-Mills theory and cosmological models using gauge gravity, deriving holographic entropy bounds and demonstrating their universal applicability.

Contribution

It establishes a novel correspondence between YM theory and cosmological equations, deriving holographic entropy bounds within YM theory using gauge gravity methods.

Findings

Holographic entropy bounds in YM theory match the Cardy-Verlinde formula.

YM theory solutions exhibit cosmological features like big bang-big crunch cycles.

Universal holographic relations are demonstrated across different physical frameworks.

Abstract

Using gauge formulation of gravity the three-dimensional SU(2) YM theory equations of motion are presented in equivalent form as FRW cosmological equations. With the radiation, the particular (periodic, big bang-big crunch) three-dimensional universe is constructed. Cosmological entropy bounds (so-called Cardy-Verlinde formula) have the standard form in such universe. Mapping such universe back to YM formulation we got the thermal solution of YM theory. The corresponding holographic entropy bounds (Cardy-Verlinde formula) in YM theory are constructed. This indicates to universal character of holographic relations.