On finite $N=1,2$ BRST transformations: Jacobians and Standard Model with gauge-invariant Gribov horizon

Abstract

We review the concept and properties of finite field-dependent BRST and BRST-antiBRST transformations introduced in 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, [arxiv:1604.03027 [hep-th]]) for gauge theories. Exact rules for calculating the Jacobian of a corresponding change of variables in the partition function are presented. Infrared peculiarities under $R_{\xi }$-gauges in the Yang--Mills theory and Standard Model are examined in a gauge-invariant way with an appropriate horizon functional and unaffected local $N=1,2$ BRST symmetries.

8 pages. Talk presented at the International Workshop "Strong Field Problems in Quantum Field Theory" (June 06-11, Tomsk, Russia), which complements arXiv:1604.03027, including extended historical background in Introduction, as well as additional discussions of the gauge-invariant Gribov horizon, and soft nilpotency; part with BRST invariant local Gribov-Zwanziger theory restored in (39), (40)

References in corpus (4)

• Finite BRST-antiBRST Transformations in Lagrangian Formalism
• Comments on interactions in the SUSY models
• Field-Dependent BRST-antiBRST Lagrangian Transformations
• Finite BRST-antiBRST Transformations in Generalized Hamiltonian Formalism