The Renormalization Group and the Effective Potential in a Curved Spacetime with Torsion

Details The Renormalization Group and the Effective Potential in a Curved Spacetime with Torsion The Renormalization Group and the Effective Potential in a Curved Spacetime with Torsion

1993-05-04

arxiv.org/abs/hep-th/9305008v1

Prog.Theor.Phys.90:677-688,1993

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX file, figures available from the authors

Scientific paper

10.1143/PTP.90.677

The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and in this way a generalization of Coleman-Weinberg's approach corresponding to flat space is obtained. A method which works with the renormalization group equation for two-loop effective potential calculations in torsionful spacetime is developed. The effective potential for the conformal factor in the conformal dynamics of quantum gravity with torsion is thereby calculated explicitly. Finally, torsion-induced phase transitions are discussed.

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