Renormalization-group improved effective potential for gauge theories in curved spacetime
E. Elizalde, S.D. Odintsov
TL;DR
This paper develops a renormalization-group improved effective potential for gauge theories in curved spacetime, extending flat space methods, and explores implications like curvature-induced phase transitions in cosmological models.
Contribution
It generalizes the Coleman-Weinberg approach to curved spacetime and analyzes phase transitions in gauge theories under gravitational effects.
Findings
Curvature can induce phase transitions in gauge theories.
Explicit examples include scalar theories and grand unified models.
Quantum gravity effects are briefly discussed.
Abstract
The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are considered,among of them:scalar self-interacting theory,scalar electrody namics,the asymptotically-free SU(2) gauge model,and the SU(5) GUT theory. The possibility of curvature-induced phase transitions is analyzed.It is shown that such a phase transition may take place in a SU(5) inflationary universe.The inclusion of quantum gravity effects isbriefly discussed.
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