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Field dependent nilpotent symmetry for gauge theories

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Abstract

We construct the field dependent mixed BRST (combination of BRST and anti-BRST) transformations for pure gauge theories. These are shown to be an exact nilpotent symmetry of the effective action as well as the generating functional for certain choices of the field dependent parameters. We show that the Jacobian contributions for path integral measure in the definition of generating functional arising from BRST and anti-BRST part compensate each other. The field dependent mixed BRST transformations are also considered in the field/antifield formulation to show that the solutions of quantum master equation remain invariant under these. Our results are supported by several explicit examples.

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Acknowledgements

We thankfully acknowledge the financial support from the Department of Science and Technology (DST), Government of India, under the SERC project sanction grant No. SR/S2/HEP-29/2007.

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Authors and Affiliations

  1. Department of Physics, Banaras Hindu University, Varanasi, 221005, India

    Sudhaker Upadhyay & Bhabani Prasad Mandal

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  1. Sudhaker Upadhyay
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  2. Bhabani Prasad Mandal
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Correspondence to Bhabani Prasad Mandal.

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Upadhyay, S., Mandal, B.P. Field dependent nilpotent symmetry for gauge theories. Eur. Phys. J. C 72, 2065 (2012). https://doi.org/10.1140/epjc/s10052-012-2065-3

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-2065-3

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