Local QCD action at finite temperature

Cooper, Patrick; Zwanziger, Daniel

doi:10.1103/physrevd.93.105026

Cited by 8 publications

(13 citation statements)

References 40 publications

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“…In this respect, it would be important to generalize the considerations of Refs. [47,48] to the Landau-DeWitt gauge, along the lines of the discussion that we have initiated in Sec. V C.…”

Section: Discussionmentioning

confidence: 99%

“…This has a direct imprint on the Gribov-Zwanziger construction and leads to an action that is not simply the zero-temperature Gribov-Zwanziger action taken over a compact time interval, see Refs. [47,48] for more details.…”

Section: Extension To Finite Temperature?mentioning

confidence: 99%

“…In fact, as recently discussed in Refs. [47,48], the pres-arXiv:1803.10188v2 [hep-th] 1 Aug 2019 ence of the compact time direction and the related periodic boundary conditions lift the degeneracy of the lowest, non-zero eigenvalues of the free Faddeev-Popov operator. This, in turn, leads to a modification of the Faddeev-Popov action which is not just the usual zerotemperature modification taken over a compact time interval.…”

Section: Introductionmentioning

confidence: 99%

“…In the case of the Landau-DeWitt gauge, the situation is similar to that of the Landau gauge prior to the results of Refs. [47,48]. There is to date no first principle derivation of the associated Gribov-Zwanziger action, only models that try to incorporate the effect of restricting the functional integral to the corresponding first Gribov region.…”

Section: Introductionmentioning

confidence: 99%

“…We also discuss some of the difficulties that occur at finite temperature (similar to the ones discussed in Refs. [47,48] for the Landau gauge), when trying to interpret the model as arising from a faithful implementation of the Gribov restriction. More technical details are gathered in the Appendices.…”

Section: Introductionmentioning

confidence: 99%

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Gribov-Zwanziger type model action invariant under background gauge transformations

Kroff

Reinosa

2018

Phys. Rev. D

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We propose a Gribov-Zwanziger type model action for the Landau-DeWitt gauge that preserves, for any gauge group, the invariance under background gauge transformations. At zero temperature, and to one-loop accuracy, the model can be related to the Gribov no-pole condition. We apply the model to the deconfinement transition in SU(2) and SU(3) Yang-Mills theories and compare the predictions obtained with a single or with various (color dependent) Gribov parameters that can be introduced in the action without jeopardizing its background gauge invariance. The Gribov parameters associated to color directions orthogonal to the background can become negative, while keeping the background effective potential real. In some cases, the proper analysis of the transition requires the potential to be resolved in those regions.

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“…In this respect, it would be important to generalize the considerations of Refs. [47,48] to the Landau-DeWitt gauge, along the lines of the discussion that we have initiated in Sec. V C.…”

Section: Discussionmentioning

confidence: 99%

Section: Extension To Finite Temperature?mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Gribov-Zwanziger type model action invariant under background gauge transformations

Kroff

Reinosa

2018

Phys. Rev. D

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The Gribov problem in presence of background field for SU(2) Yang–Mills theory

2016

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The Gribov problem in the presence of a background field is analyzed: in particular, we study the Gribov copies equation in the Landau-De Witt gauge as well as the semi-classical Gribov gap equation. As background field, we choose the simplest non-trivial one which corresponds to a constant gauge potential with non-vanishing component along the Euclidean time direction. This kind of constant non-Abelian background fields is very relevant in relation with (the computation of) the Polyakov loop but it also appears when one considers the non-Abelian Schwinger effect. We show that the Gribov copies equation is affected directly by the presence of the background field, constructing an explicit example. The analysis of the Gribov gap equation shows that the larger the background field, the smaller the Gribov mass parameter. These results strongly suggest that the relevance of the Gribov copies (from the path integral point of view) decreases as the size of the background field increases. * canfora@cecs.cl † dhidalgo@cecs.cl ‡ pais@cecs.cl arXiv:1610.08067v2 [hep-th]

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Some Developments in Gribov’s Approach to QCD

Cooper

Zwanziger

2017

EPJ Web Conf.

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Abstract. We review several developments in the formulation of QCD provided by the GZ action. These include the GZ-action at finite temperature, the relation of the horizon condition and the Kugo-Ojima confinement criterion, the relation of the horizon condition and the dual-Meisssner effect, the alternative derivation of the GZ action provided by the Maggiore-Schaden shift, and the spontaneous breaking of BRST symmetry. We conclude with a proposal for the definition of physical states in the presence of BRST breaking.

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Local QCD action at finite temperature

Cited by 8 publications

References 40 publications

Gribov-Zwanziger type model action invariant under background gauge transformations

Gribov-Zwanziger type model action invariant under background gauge transformations

The Gribov problem in presence of background field for SU(2) Yang–Mills theory

Some Developments in Gribov’s Approach to QCD

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