English

Comparative analysis of finite field-dependent BRST transformations

High Energy Physics - Theory 2017-04-05 v5 High Energy Physics - Lattice Mathematical Physics math.MP Quantum Physics

Abstract

We present a review of our recent study (A. Reshetnyak, IJMPA 29 (2014) 1450128; P. Moshin, A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; Phys. Lett B 739 (2014) 110; IJMPA 29 (2014) 1450159; IJMPA 30 (2015) 1550021; IJMPA 31 (2016) 1650111), in which the concept of finite field-dependent BRST and BRST-antiBRST transformations for gauge theories was introduced, and their properties investigated. An algorithm of exact calculation for the Jacobian of a respective change of variables in the path integral is presented. Applications to the Yang--Mills theory and Standard Model, in view of infra-red (Gribov) peculiarities, are discussed.

Keywords

Cite

@article{arxiv.1604.03027,
  title  = {Comparative analysis of finite field-dependent BRST transformations},
  author = {Pavel Yu. Moshin and Alexander A. Reshetnyak},
  journal= {arXiv preprint arXiv:1604.03027},
  year   = {2017}
}

Comments

9 pages, no figures, extended Contribution to the Proceedings of the International Workshop "Supersymmetry and Quantum Symmetries" (SQS'2015, August 3 - August 8, 2015, Dubna, Russia); minor changes, misprints in the Eq. (32) removed; presentation improved; misprints in (27), (28) removed, notations improved; Eqs. (13), (23) corrected

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