Renormalization-group improved effective potential for gauge theories in curved spacetime

1993/02/17 by E. Elizalde, S. D. Odintsov, S.D. Odintsov · 109 citations
Physics and Astronomy · #Background independence #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Lattice gauge theory #Noncommutative and Quantum Gravity Theories #Quantum field theory in curved spacetime #Quantum fluctuation #Quantum gravity #Scalar (mathematics) #Spacetime #hep-th

paper · pdf · doi:10.1016/0370-2693(93)91427-o

published in Physics Letters B 303(3-4), 240-248 (Elsevier BV) · Latex file,11pages

arxiv created 1993/02/17 · openalex publication_date 1993/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Unity of All Elementary-Particle Forces
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

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