Landau gauge Jacobian and BRST symmetry

Ghiotti, M.; Kalloniatis, Alexander C.; Williams, Anthony G.

doi:10.1016/j.physletb.2005.09.015

Cited by 8 publications

(18 citation statements)

References 16 publications

(11 reference statements)

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“…Many other attempts have been made, such as improving the Faddeev-Popov gauge fixing in [95] whereby the absolute value of the Faddeev-Popov determinant was lifted into the action. However, the number of copies is not properly accounted for, and therefore, as far as we know, no further calculations have been done in their framework.…”

Section: Other Solutions To the Gribov Problemmentioning

confidence: 99%

The Gribov problem and QCD dynamics

2012

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In 1967, Faddeev and Popov were able to quantize the Yang-Mills theory by introducing new particles called ghost through the introduction of a gauge. Ever since, this quantization has become a standard textbook item. Some years later, Gribov discovered that the gauge fixing was not complete, gauge copies called Gribov copies were still present and could affect the infrared region of quantities like the gauge dependent gluon and ghost propagator. This feature was often in literature related to confinement. Some years later, the semi-classical approach of Gribov was generalized to all orders and the so-called GZ action was born. Ever since, many related articles were published. This review tends to give a pedagogic review of the ideas of Gribov and the subsequent construction of the GZ action, including many other toipics related to the Gribov region. It is shown how the GZ action can be viewed as a non-perturbative tool which has relations with other approaches towards confinement. Many different features related to the GZ action shall be discussed in detail, such as BRST breaking, the KO criterion, the propagators, etc. We shall also compare with the lattice data and other non-perturbative approaches, including stochastic quantization.Comment: 121 pages, 12 figures, Review article, references adde

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Section: Other Solutions To the Gribov Problemmentioning

confidence: 99%

The Gribov problem and QCD dynamics

2012

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“…Furthermore, in this gauge the BRST and the anti-BRST variations look similar to each other, with ghosts and anti-ghosts interchanged, and the sign of Nakanishi-Lautrup field also changed [13].…”

Section: Landau Gaugementioning

confidence: 63%

“…In Yang-Mills theories, there is a special gauge called the Landau gauge, in which we can express the gauge fixing Lagrangian density as a combination of total BRST and total anti-BRST variations. Furthermore, in this gauge the BRST and the anti-BRST variations look similar to each other, with ghosts and anti-ghosts interchanged, and the sign of Nakanishi-Lautrup field also changed [13].…”

Section: Landau Gaugementioning

confidence: 63%

“…However BRST and anti-BRST symmetries are known to have a richer structure in Yang-Mills theories. In case of Yang-Mills theories, it is known that in Landau gauge we can express the gauge fixing Lagrangian density as a combination of total BRST and total anti-BRST variations [13]. This is also achieved by addition of suitable non-linear terms to the gauge fixing Lagrangian density [14].…”

Section: Introductionmentioning

confidence: 99%

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BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity

Faizal

2010

Found Phys

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In perturbative quantum gravity, the sum of the classical Lagrangian density, a gauge fixing term and a ghost term is invariant under two sets of supersymmetric transformations called the BRST and the anti-BRST transformations. In this paper we will analyse the BRST and the anti-BRST symmetries of perturbative quantum gravity in curved spacetime, in linear as well as non-linear gauges. We will show that even though the sum of ghost term and the gauge fixing term can always be expressed as a total BRST or a total anti-BRST variation, we can express it as a combination of both of them only in certain special gauges. We will also analyse the violation of nilpotency of the BRST and the anti-BRST transformations by introduction of a bare mass term, in the massive Curci-Ferrari gauge.Comment: Aversion accepted for publication in Foundations of Physic

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“…However, as we can have multiple solutions in the Landau gauge, we can generalize the standard Faddeev-Popov to multiple solutions as follows [32],…”

Section: Non-anticommutativitymentioning

confidence: 99%

Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory

Weinreb

Faizal

2015

Physics Letters B

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In this paper, we will study the deformation of a three dimensional N = 2 supersymmetry gauge theory. We will deform this theory by imposing non-anticommutativity. This will break the supersymmetry of the theory from N = 2 supersymmetry to N = 1 supersymmetry. We will address the problem that occurs in the Landau gauge due to the existence of multiple solutions to the gauge fixing condition. This will be done by generalizing the Faddeev-Popov method. This formalism is motivated from the Nicolai map in topological field theories. Finally, we will study the extended BRST symmetry that occurs in this theory. It is possible to express the Bianchi identity as [∇The gauge transformation of this covariant derivative are given by

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Landau gauge Jacobian and BRST symmetry

Cited by 8 publications

References 16 publications

The Gribov problem and QCD dynamics

The Gribov problem and QCD dynamics

BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity

Generalized Faddeev–Popov method for a deformed supersymmetric Yang–Mills theory

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