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Contribution of matter fields to the Gell-Mann-Low function for the \(\mathcal{N} = 1\) supersymmetric Yang-Mills theory regularized by higher covariant derivatives

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Abstract

We use the Schwinger-Dyson equations and Slavnov-Tailor identities to obtain the contribution of matter fields to the Gell-Mann-Low function for the \(\mathcal{N} = 1\) supersymmetric Yang-Mills theory regularized by higher covariant derivatives. We discuss the possible deviation of the result from the corresponding contribution to the exact Novikov-Shifman-Vainshtein-Zakharov β-function.

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  1. Moscow State University, Moscow, Russia

    K. V. Stepanyantz

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 3, pp. 441–460, March, 2007.

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Stepanyantz, K.V. Contribution of matter fields to the Gell-Mann-Low function for the \(\mathcal{N} = 1\) supersymmetric Yang-Mills theory regularized by higher covariant derivatives. Theor Math Phys 150, 377–392 (2007). https://doi.org/10.1007/s11232-007-0028-x

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  • DOI: https://doi.org/10.1007/s11232-007-0028-x

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