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

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

2002-05-28

arxiv.org/abs/hep-th/0205282v2

Phys.Lett.B540:167-172,2002

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 11 pages, a reference is added

Scientific paper

10.1016/S0370-2693(02)02149-4

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.

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