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Two-loop calculations of the matrix σ-model effective action in the background field formalism

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Abstract

We consider the matrix σ-model in the background field formalism. In the two-loop approximation, we demonstrate the equality of “running coupling constants” in the momentum cutoff regularization and in the dimensional regularization by direct calculation. We verify that the β-function coincides with the previously obtained data.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. A. Bagaev

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  1. A. A. Bagaev
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Correspondence to A. A. Bagaev.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 154, No. 2, pp. 354–362, February, 2008.

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Bagaev, A.A. Two-loop calculations of the matrix σ-model effective action in the background field formalism. Theor Math Phys 154, 303–310 (2008). https://doi.org/10.1007/s11232-008-0028-5

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  • DOI: https://doi.org/10.1007/s11232-008-0028-5

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