1203.1171 (Joyce C. Myers)

Bekenstein bounds at weak-coupling for field theories on a 3-sphere    [PDF]

Joyce C. Myers

We calculate the high temperature partition functions for theories on S^1 x S^3 with scalars, vectors, and/or fermions, at zero 't Hooft coupling, using analytical methods. We compare these with numerical results which are also valid in the low temperature limit and show that the Bekenstein entropy bound resulting from the partition functions for theories with massless scalar, fermionic, and/or vector matter is always satisfied when the zero-point contribution is included. We further consider the effect of adding massive scalar or fermionic matter and show that the Bekenstein bound is satisfied when the Casimir energy is regularized under the constraint that it vanishes in the large mass limit. These calculations can be generalized straightforwardly for the case of a different number of spatial dimensions.

View original: http://arxiv.org/abs/1203.1171