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On Two-Loop Effective Action of 2D Sigma Model

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arxiv 2304.02374 v1 pith:65DOT6LE submitted 2023-04-05 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords regularizationactioneffectivemodelsigmatwo-loopapplicablecontribution
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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.

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  1. Three-loop singularity structure for a non-linear sigma model

    hep-th 2025-07 conditional novelty 6.0 of 10

    The three-loop divergent structure of the two-dimensional non-linear sigma model is computed in a coordinate-space cutoff scheme, including the new countervertices and the squared-logarithm part of the renormalization...

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