-expansion in Quantum Field Theory in Curved Spacetime
نویسنده
چکیده
We discuss -expansion in curved space-time for asymptotically free and asymptotically non-free theories. The existence of stable and unstable xed points is investigated for f 4 theory and SU(2) gauge theory. It is shown that -expansion maybe compatible with asymptotic freedom on special solutions of the RG equations in a special case (supersymmetric theory). Using -expansion RG technique the e ective Lagrangian for covariantly constant gauge SU(2) eld and e ective potential for gauged NJL-model are found in 4 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. [email protected], [email protected], [email protected], [email protected], [email protected] 11.10.Hi, 11.30.Qc, 11.15.-q, 04.62.+v
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