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arXiv · hep-th/0205282

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

Shin'ichi Nojiri·Sergei D. Odintsov
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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.

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Shin'ichi Nojiri, Sergei D. Odintsov. 2002-06-18. Entropy bounds and Cardy-Verlinde formula in Yang-Mills theory. https://doi.org/10.1016/s0370-2693(02)02149-4

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