Renormalization-Group Improved Effective Lagrangian for Interacting Theories in Curved Spacetime

Abstract

A method for finding the renormalization group (RG) improved effective Lagrangian for a massive interacting field theory in curved spacetime is presented. As a particular example, the $\lambda {\phi }^4$-theory is considered and the RG improved effective Lagrangian is explicitly found up to second order in the curvature tensors. As a further application, the curvature-induced phase transitions are discussed for both the massive and the massless versions of the theory. The problems which appear when calculating the RG improved effective Lagrangian for gauge theories are discussed, taking as example the asymptotically free SU(2) gauge model.

11 pages, LaTeX file

References in corpus (4)

• The effective potential and the renormalisation group
• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• Renormalization-group improved effective potential for gauge theories in curved spacetime
• Effective Lagrangian for self-interacting scalar field theories in curved spacetime

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