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Finite BRST Mapping in Higher-Derivative Models

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Abstract

We continue the study of finite field-dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the FFBRST symmetry is then applied to a number of well-established quantum gauge theories in a form which incudes higher-derivative terms. Specifically, we examine the corresponding versions of the Maxwell theory, non-Abelian vector field theory, and gravitation theory. We present a systematic mapping between different forms of gauge-fixing, including those with higher-derivative terms, for which these theories have better renormalization properties. In doing so, we also provide the independence of the S-matrix from a particular gauge-fixing with higher derivatives. Following this method, a higher-derivative quantum action can be constructed for any gauge theory in the FFBRST framework.

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Acknowledgements

The work of P.Yu.M. was supported by the Tomsk State University Competitiveness Improvement Program. S.U. acknowledges the financial support from the Indian Institute of Technology, Kharagpur, India, under PDF Program.

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Authors and Affiliations

  1. Faculty of Physics, National Research Tomsk State University, 634050, Tomsk, Russia

    Pavel Yu. Moshin

  2. Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur, 721302, WB, India

    Sudhaker Upadhyay

  3. Institute of Physics, University of São Paulo, Rua do Matão 1371, Cidade Universitária, São Paulo, CEP 05508-090, Brazil

    Ricardo A. Castro

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  1. Pavel Yu. Moshin
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  2. Sudhaker Upadhyay
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  3. Ricardo A. Castro
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Correspondence to Ricardo A. Castro.

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Moshin, P.Y., Upadhyay, S. & Castro, R.A. Finite BRST Mapping in Higher-Derivative Models. Braz J Phys 47, 411–418 (2017). https://doi.org/10.1007/s13538-017-0503-2

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