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Is soft breaking of BRST symmetry consistent?

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Abstract

A definition of soft breaking of BRST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating functionals of Green’s functions are derived, and their gauge dependence is investigated. We discuss the Gribov-Zwanziger action to the one-parameter family of R ξ gauges. It is argued that gauge theories with a soft breaking of BRST symmetry are inconsistent.

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Authors and Affiliations

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

    Peter Lavrov

  2. Institutfür Theoretische Physik, Leibniz Universität Hannover, Appelstrasse 2, 30167, Hannover, Germany

    Olaf Lechtenfeld

  3. Institute of Strength Physics and Material Science, Akademicheskii av. 2/4, 634021, Tomsk, Russia

    Alexander Reshetnyak

Authors
  1. Peter Lavrov
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  2. Olaf Lechtenfeld
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  3. Alexander Reshetnyak
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Correspondence to Olaf Lechtenfeld.

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ArXiv ePrint: 1108.4820

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Lavrov, P., Lechtenfeld, O. & Reshetnyak, A. Is soft breaking of BRST symmetry consistent?. J. High Energ. Phys. 2011, 43 (2011). https://doi.org/10.1007/JHEP10(2011)043

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  • DOI: https://doi.org/10.1007/JHEP10(2011)043

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