On Two-Loop Effective Action of 2D Sigma Model

Abstract

In this paper, we study two-loop contribution to the effective action of a two-dimensional sigma model. We derive a new formula, which can be applicable to a regularization of general type. As examples, we obtain known results for dimensional regularization and investigate new types of cutoff one. Also, we discuss non-local contributions and restrictions on the regularization.

arXiv commentLaTeX, 10 pages, 3 figures

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Cited by in corpus (4)

• Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
• Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions
• On a criterion for a cutoff regularization in the coordinate representation
• Summation of power singularities