ǫ-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACETIME

Abstract

We discuss ǫ-expansion in curved space-time for asymptotically free and asymptotically non-free theories. The existence of stable and unstable fixed points is investigated for fφ4 theory and SU(2) gauge theory. It is shown that ǫ-expansion maybe compatible with asymptotic freedom on special solutions of the RG equations in a special case (supersymmetric theory). Using ǫ-expansion RG technique the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL-model are found in 4− ǫdimensional 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. Iver.H.Brevik@mtf.ntnu.no, hocampo@quantum.univalle.edu.co, odintsov@kakuri2-pc.phys.sci.hiroshima-u.ac.jp, odintsov@galois.univalle.edu.co, odintsov@quantum.univalle.edu.co 11.10.Hi, 11.30.Qc, 11.15.-q, 04.62.+v

Cite this paper

@inproceedings{Brevik1997oEXPANSIONIQ, title={ǫ-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACETIME}, author={Iver Brevik and Hern{\'a}n Ocampo and Sergei D. Odintsov}, year={1997} }