Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-05
Int.J.Mod.Phys.A13:2857-2874,1998
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 22 pages, July 1997 preprint
Scientific paper
10.1142/S0217751X98001451
We discuss epsilon-expansion in curved spacetime for asymptotically free and asymptotically non-free theories. The esistence of stable and unstable fixed points is investigated for $f \phi^4$ and SU(2) gauge theory. It is shown that epsilon-expansion maybe compatible with asymptotic freedom on special solutions of the RG equations in a special case (supersymmetric theory). Using epsilon-expansion RG technique the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL-model are found in 4-epsilon- dimensional curved space (in linear curvature approximation). The curvature- induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.
Brevik I. H.
Ocampo H.
Odintsov Sergei D.
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