G. Cognola et al., FINITE-TEMPERATURE EFFECTIVE POTENTIAL ON HYPERBOLIC SPACETIMES, Physical review. D. Particles and fields, 49(10), 1994, pp. 5307-5312
The finite temperature one-loop effective potential for a scalar field
defined on an ultrastatic spacetime, whose spatial part is a compact,
nonsimply connected hyperbolic manifold, is studied. Different analyt
ic expressions, especially valuable at low and high temperature, are d
erived. Based on these results, the symmetry breaking and the topologi
cal mass generation are discussed. The role of nontrivial topology is
pointed out.