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On the functional renormalization group approach for Yang-Mills fields

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Abstract

We explore the gauge dependence of the effective average action within the functional renormalization group (FRG) approach. It is shown that in the framework of standard definitions of FRG for the Yang-Mills theory, the effective average action remains gauge-dependent on-shell, independent on the use of truncation scheme. Furthermore, we propose a new formulation of the FRG, based on the use of composite operators. In this case one can provide on-shell gauge-invariance for the effective average action and universality of S-matrix.

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Authors and Affiliations

  1. Tomsk State Pedagogical University, Kievskaya St. 60, 634061, Tomsk, Russia

    Peter M. Lavrov & Ilya L. Shapiro

  2. Departamento de Física, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, CEP: 36036-330, MG, Brazil

    Peter M. Lavrov & Ilya L. Shapiro

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  1. Peter M. Lavrov
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Correspondence to Ilya L. Shapiro.

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ArXiv ePrint: 1212.2577

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Lavrov, P.M., Shapiro, I.L. On the functional renormalization group approach for Yang-Mills fields. J. High Energ. Phys. 2013, 86 (2013). https://doi.org/10.1007/JHEP06(2013)086

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