Remarks on a class of renormalizable interpolating gauges

Dudal, David; Gracey, J.A.; Lemes, V. E. R.; Sobreiro, R. F.; Sorella, S. P.; Thibes, Ronaldo; Verschelde, Henri

doi:10.1088/1126-6708/2005/07/059

Cited by 20 publications

(34 citation statements)

References 32 publications

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“…It is important to mention here that the diagonal condition do not follows from a extreme condition of any auxiliary functional and different choices could be taken for this sector. This is the case, for example, of the modified maximal Abelian gauge [31].…”

Section: Discussionmentioning

confidence: 99%

Renormalization of a generalized supersymmetric version of the maximal Abelian gauge

2019

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In this work we present an algebraic proof of the renormazibility of the super-Yang-Mills action quantized in a generalized supersymmetric version of the maximal Abelian gauge. The main point stated here is that the generalized gauge depends on a set of infinity gauge parameters in order to take into account all possible composite operators emerging from the dimensionless character of the vector superfield. At the end, after the removal of all ultraviolet divergences, it is possible to specify values to the gauge parameters in order to return to the original supersymmetric maximal Abelian gauge, first presented in Phys. Rev. The Refs [5,6,7] are standard references on the procedure of the algebraic renormalization, while Refs [4,8,9,10,11,12] relate to the renormalization in the presence of dimensionless vector superfield in the Landau and the linear covariant gauges. The problem of dealing with the renormalization of a theory with dimensionless fields is also approached in Refs [13, 14] in the case of a Stueckelberg-like field.

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Section: Discussionmentioning

confidence: 99%

Renormalization of a generalized supersymmetric version of the maximal Abelian gauge

2019

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“…One interesting feature of considering the interpolating gauge of Eq. (2) is that it can be extended to a six gauge parameter fixing which allows one to range over the linear covariant gauges, the Curci-Ferrari gauge and the MAG for various choices of the parameters, [22]. Indeed this generalized interpolating gauge has recently been analysed in Ref.…”

Section: Discussionmentioning

confidence: 99%

“…Indeed this generalized interpolating gauge has recently been analysed in Ref. [22] where it was shown that the one loop b-function is correctly independent of all six parameters and the usual anomalous dimensions emerge to be the known values when the parameters are fixed to those for the individual gauges.…”

Section: Discussionmentioning

confidence: 99%

Three loop renormalization of QCD in various nonlinear gauges

Gracey

2006

Nuclear Instruments and Methods in Physics Research Section A:

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“…Often, these families go under the name interpolating gauges. Examples include interpolating gauges between the Landau gauge and the Coulomb gauge [40,41], the Landau gauge and the maximally Abelian gauge [25,42,43], the linear covariant gauges, the Coulomb gauge and the maximally Abelian gauge [44,45], and the linear covariant gauges, the maximally Abelian gauge and the Curci-Ferrari gauge [46]. This article is structured as follows.…”

Section: Introductionmentioning

confidence: 99%

Yang-Mills propagators in linear covariant gauges from Nielsen identities

Napetschnig,

Alkofer,

Huber

et al. 2021

Preprint

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We calculate gluon and ghost propagators in Yang-Mills theory in linear covariant gauges. To that end, we utilise Nielsen identities with Landau gauge propagators and vertices as the starting point. We present and discuss numerical results for the gluon and ghost propagators for values of the gauge parameter 0 < ξ ≤ 5. Extrapolating the propagators to ξ → ∞ we find the expected qualitative behavior. We provide arguments that our results are quantitatively reliable at least for values ξ 1/2 of the gauge fixing parameter. It is shown that the correlation functions, and in particular the ghost propagator, change significantly with increasing gauge parameter. In turn, the ghost-gluon running coupling as well as the position of the zero crossing of the Schwinger function of the gluon propagator remain within the uncertainties of our calculation unchanged.

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Remarks on a class of renormalizable interpolating gauges

Cited by 20 publications

References 32 publications

Renormalization of a generalized supersymmetric version of the maximal Abelian gauge

Renormalization of a generalized supersymmetric version of the maximal Abelian gauge

Three loop renormalization of QCD in various nonlinear gauges

Yang-Mills propagators in linear covariant gauges from Nielsen identities

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