Yang-Mills two-point functions in linear covariant gauges

Aguilar, A. C.; Binosi, Daniele; Papavassiliou, Joannis

doi:10.1103/physrevd.91.085014

Cited by 83 publications

(105 citation statements)

References 62 publications

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“…A stronger indication was found in the simulations of [55], where the IR finiteness of the gluon propagators was confirmed 1 for values of the ξ ranging within the interval [0,0.5]. In addition, in [56] was argued that the Nielsen identities [57] support this general picture, but no particular statement was made regarding the explicit influence of the gauge-fixing parameter on the underlying dynamics. Finally, massive propagators for general ξ have been derived in [58,59], within the refined Gribov-Zwanziger framework [34].…”

Section: Introductionmentioning

confidence: 94%

Schwinger mechanism in linear covariant gauges

2017

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In this work we explore the applicability of a special gluon mass generating mechanism in the context of the linear covariant gauges. In particular, the implementation of the Schwinger mechanism in pure Yang-Mills theories hinges crucially on the inclusion of massless bound-state excitations in the fundamental nonperturbative vertices of the theory. The dynamical formation of such excitations is controlled by a homogeneous linear Bethe-Salpeter equation, whose nontrivial solutions have been studied only in the Landau gauge. Here, the form of this integral equation is derived for general values of the gauge-fixing parameter, under a number of simplifying assumptions that reduce the degree of technical complexity. The kernel of this equation consists of fully-dressed gluon propagators, for which recent lattice data are used as input, and of three-gluon vertices dressed by a single form factor, which is modelled by means of certain physically motivated Ansätze. The gauge-dependent terms contributing to this kernel impose considerable restrictions on the infrared behavior of the vertex form factor; specifically, only infrared finite Ansätze are compatible with the existence of nontrivial solutions. When such Ansätze are employed, the numerical study of the integral equation reveals a continuity in the type of solutions as one varies the gauge-fixing parameter, indicating a smooth departure from the Landau gauge. Instead, the logarithmically divergent form factor displaying the characteristic "zero crossing", while perfectly consistent in the Landau gauge, has to undergo a dramatic qualitative transformation away from it, in order to yield acceptable solutions. The possible implications of these results are briefly discussed.

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Section: Introductionmentioning

confidence: 94%

Schwinger mechanism in linear covariant gauges

2017

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“…For ξ = 0 the situation is more complicated. Recent analytical studies [88,89] indicate that in this case the ghost dressing function goes to zero, which, in turn, would suggest that the l.h.s. of Eq.…”

Section: It Is Important To Recognize That the Proofs Elaborated In Tmentioning

confidence: 99%

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Aguilar¹,

Binosi²,

Figueiredo³

et al. 2016

Phys. Rev. D

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We present a generalized theoretical framework for dealing with the important issue of dynamical mass generation in Yang-Mills theories, and, in particular, with the infrared finiteness of the gluon propagators, observed in a multitude of recent lattice simulations. Our analysis is manifestly gauge-invariant, in the sense that it preserves the transversality of the gluon self-energy, and gauge-independent, given that the conclusions do not depend on the choice of the gauge-fixing parameter within the linear covariant gauges. The central construction relies crucially on the subtle interplay between the Abelian Ward identities satisfied by the nonperturbative vertices and a special integral identity that enforces a vast number of 'seagull cancellations' among the oneand two-loop dressed diagrams of the gluon Schwinger-Dyson equation. The key result of these considerations is that the gluon propagator remains rigorously massless, provided that the vertices do not contain (dynamical) massless poles. When such poles are incorporated into the vertices, under the pivotal requirement of respecting the gauge symmetry of the theory, the terms comprising the Ward identities conspire in such a way as to still enforce the total annihilation of all quadratic divergences, inducing, at the same time, residual contributions that account for the saturation of gluon propagators in the deep infrared.

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“…In addition, available lattice results are mostly limited to propagators in the vacuum and to the Landau gauge. However, gauges beyond the Landau gauge are attracting more interest lately, for example, the linear covariant gauges and the Coulomb gauge [16][17][18][19][20][21][22].…”

Section: Testing Truncations: Yang-mills Theory In Three Dimensionsmentioning

confidence: 99%

An exploratory study of Yang-Mills three-point functions at non-zero temperature

Huber

2017

EPJ Web Conf.

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Abstract. Results for three-point functions of Landau gauge Yang-Mills theory at nonvanishing temperature are presented and compared to lattice results. It is found that the three-gluon vertex is enhanced for temperatures below the phase transition. At very low momenta it becomes negative for all temperatures. Furthermore, truncation effects in functional equations are discussed at the example of three-dimensional Yang-Mills theory for which a self-contained solution is presented.

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Yang-Mills two-point functions in linear covariant gauges

Cited by 83 publications

References 62 publications

Schwinger mechanism in linear covariant gauges

Schwinger mechanism in linear covariant gauges

Unified description of seagull cancellations and infrared finiteness of gluon propagators

An exploratory study of Yang-Mills three-point functions at non-zero temperature

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