# Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model

@article{Moshin2015FiniteFB, title={Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model}, author={Pavel Yu. Moshin and Alexander A. Reshetnyak}, journal={arXiv: High Energy Physics - Theory}, year={2015} }

We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29, 1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021 (2015) and extend the class of finite BRST-antiBRST transformations with odd-valued parameters $\lambda_{a}$, $a=1,2$, introduced in these works. In doing so, we evaluate the Jacobians induced by finite BRST-antiBRST transformations linear in functionally-dependent parameters, as well as those induced by finite BRST-antiBRST transformations…

## 21 Citations

### Finite BRST Mapping in Higher-Derivative Models

- Physics
- 2017

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…

### On the Finite Brst Transformations: the Jacobians and the Standard Model with the Gauge-Invariant Gribov Horizon

- Physics
- 2016

A review of the finite field-dependent Becchi–Rouet–Stora–Tyutin (BRST) and BRST-antiBRST transformations is presented. Exact rules for calculating the Jacobian of the corresponding change of…

### Generalization of Faddeev--Popov Rules in Yang--Mills Theories: N=3,4 BRST Symmetries

- Mathematics, Physics
- 2018

The Faddeev–Popov rules for a local and Poincare-covariant Lagrangian quantization of a gauge theory with gauge group are generalized to the case of an invariance of the respective quantum actions,…

### Gauge copies and the fate of background independence in Yang-Mills theories: A leading order analysis

- Physics
- 2020

In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator at a one-loop order in perturbation theory in the Landau-DeWitt gauge.…

### Comparative analysis of finite field-dependent BRST transformations

- PhysicsPhysics of Particles and Nuclei Letters
- 2017

We review our recent study [1–6], introducing the concept of finite field-dependent BRST and BRST-antiBRST transformations for gauge theories and investigating their properties. An algorithm of exact…

### The universal character of Zwanziger's horizon function in Euclidean Yang–Mills theories

- PhysicsPhysics Letters B
- 2018

### Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges

- Physics
- 2016

In this paper we address the issue of the non-perturbative quantization of Euclidean Yang–Mills theories in the Curci–Ferrari gauge. In particular, we construct a refined Gribov–Zwanziger action for…

### Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory

- Mathematics
- 2016

In this paper, we discuss non-perturbative infrared features of Yang-Mills theory in Euclidean space-time dimensions greater than four in the Landau gauge and within the Refined Gribov-Zwanziger…

### A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

- Physics
- 2017

In this work, we study the propagators of matter fields within the framework of the refined Gribov–Zwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing…

## References

SHOWING 1-10 OF 140 REFERENCES

### Field-dependent BRST-anti-BRST Lagrangian transformations

- Physics
- 2015

We continue our study of finite BRST–anti-BRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790 [hep-th] and arXiv:1406.0179 [hep-th]], with a doublet…

### Field-dependent BRST–antiBRST transformations in Yang–Mills and Gribov–Zwanziger theories

- Physics
- 2014

### On Consistent Lagrangian Quantization of Yang-Mills Theories without Gribov Copies

- Physics
- 2014

We review the results of our research (A.A. Reshetnyak, IJMPA 29 (2014) 1450184; P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; P.Yu. Moshin, A.A. Reshetnyak, Phys. Lett. B 739 (2014)…

### Finite field-dependent BRS transformations.

- PhysicsPhysical review. D, Particles and fields
- 1995

It is shown that for certain special field-dependent BRS parameters (evaluated in a closed form), these can be used to connect the Faddeev-Popov effective action in a linear gauge with a gauge parameter [lambda] to the most general BRS--anti-BRS symmetric action in linear gauges.

### Influence of Gribov ambiguities in a class of nonlinear covariant gauges

- Physics
- 2015

We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the…

### On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry

- Physics
- 2013

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field-antifield formalism is developed. It is…

### Higher covariant derivative Pauli-Villars r egularization does not lead to a consistent QCD

- Mathematics
- 1995

### Finite Nilpotent BRST Transformations in Hamiltonian Formulation

- Mathematics
- 2013

We consider the finite field dependent BRST (FFBRST) transformations in the context of Hamiltonian formulation using Batalin-Fradkin-Vilkovisky method. The non-trivial Jacobian of such…