Forms on vector bundles over compact hyperbolic manifolds and entropy bounds

TL;DR

This paper investigates gauge theories with abelian p-forms on compact hyperbolic manifolds, deriving thermodynamic functions and entropy/energy ratios using zeta-function regularization, contributing to understanding quantum field behavior in curved spaces.

Contribution

It provides explicit thermodynamic functions for skew-symmetric tensor fields on hyperbolic manifolds using zeta-function techniques, a novel approach in this context.

Findings

Thermodynamic functions are explicitly derived.

Entropy/energy ratios are established.

High-temperature expansions are computed.

Abstract

We analyze gauge theories based on abelian $p-$forms in real compact hyperbolic manifolds. The explicit thermodynamic functions associated with skew--symmetric tensor fields are obtained via zeta--function regularization and the trace tensor kernel formula. Thermodynamic quantities in the high--temperature expansions are calculated and the entropy/energy ratios are established.