SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART

Authors
BYTSENKO A KIRSTEN K ODINTSOV S
Citation
A. Bytsenko et al., SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART, Modern physics letters A, 8(21), 1993, pp. 2011-2021
Citations number
NO
Categorie Soggetti
Physics
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
8
Issue
21
Year of publication
1993
Pages
2011 - 2021
Database
ISI
SICI code
0217-7323(1993)8:21<2011:SSFOSW>2.0.ZU;2-8
Abstract
We calculate the one-loop effective potential of a self-interacting sc alar field on the space-time of the form R2 X H-2/GAMMA. The Selberg t race formula associated with a co-compact discrete group GAMMA in PSL( 2,R) (hyperbolic and elliptic elements only) is used. The dosed form f or the one-loop unrenormalized and renormalized effective potentials i s given. The influence of non-trivial topology on curvature induced ph ase transitions is also discussed.