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Entropy bounds for massive scalar field in positive curvature space

High Energy Physics - Theory 2009-11-10 v1

Abstract

We consider a massive scalar field with arbitrary coupling in S1×S3\mathbf{S}^{1}\times \mathbf{S}^{3} space, which mimics the thermal expanding universe, and calculate explicitly all relevant thermodynamical functions in the low- and high-temperature regimes, extending previous analysis of entropy bounds and entropy/energy ratios performed in the conformal case. For high temperatures, new mass-dependent entropy ratios are established which, differently to the conformal limit, fulfil Bekenstein's and Verlinde's bounds in the physical region.

Keywords

Cite

@article{arxiv.hep-th/0302155,
  title  = {Entropy bounds for massive scalar field in positive curvature space},
  author = {E. Elizalde and A. C. Tort},
  journal= {arXiv preprint arXiv:hep-th/0302155},
  year   = {2009}
}

Comments

19 pages, 1 figure