Lattice gluon propagator in renormalizable<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>ξ</mml:mi></mml:mrow></mml:math>gauges

Bicudo, Pedro; Binosi, Daniele; Cardoso, Marco; Oliveira, Orlando; Silva, Paulo

doi:10.1103/physrevd.92.114514

Cited by 81 publications

(131 citation statements)

References 62 publications

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“…(4.38) diverges. At the same time, however, they also show that the gluon propagator continues to saturate in the IR, a result that has been confirmed by lattice simulations [9]. If the behavior of the ghost dressing function is to be confirmed, these results would point towards some highly nontrivial dynamics in the ghost sector, which would ensure that the function K (and possibly L) appearing in Eq.…”

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

confidence: 52%

“…The general formalism developed in this work sets up the stage for a detailed quantitative study of the precise field-theoretic mechanism that accounts for the infrared saturation of the gluon propagator observed in recent lattice simulations performed away from the Landau gauge [9]. In particular, the relevant set of Bethe-Salpeter equations must be derived for general ξ, and then appropriately coupled to Eqs.…”

Section: Discussionmentioning

confidence: 99%

“…In addition, recent lattice simulations in the linear covariant (R ξ ) gauges [9] reveal that this particular property is not special to the Landau gauge (ξ = 0), given that it persists for values of ξ ranging in the interval [0, 0.5]. Moreover, the inclusion of a small number of dynamical quarks ('unquenching') produces a relative suppression to the gluon propagator, but preserves the feature of saturation clearly intact [10].…”

Section: Introductionmentioning

confidence: 99%

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

confidence: 52%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Aguilar¹,

Binosi²,

Figueiredo³

et al. 2016

Phys. Rev. D

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“…The purpose of the present work is to provide the first preliminary exploration of this important theoretical we may obtain from it nontrivial solutions, at least for the values of ξ within the interval [0, 0.5. ], used in the lattice simulations of [55].…”

Section: Introductionmentioning

confidence: 99%

“…Given the above observations, we have evaluated the BSE kernel using as input the ∆(q 2 , ξ) from the lattice [55], but have employed qualitatively distinct Ansätze for f . In particular, we used (i ) two functional forms for f , sharing the common characteristic of being finite at the origin, and (ii ) an Ansatz for f that reverses sign in the IR ("zero-crossing") and diverges logarithmically as it approaches the origin.…”

Section: Introductionmentioning

confidence: 99%

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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Emergent Hadron Mass in Strong Dynamics

Binosi

2022

Few-Body Syst

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Lattice gluon propagator in renormalizableξgauges

Cited by 81 publications

References 62 publications

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Schwinger mechanism in linear covariant gauges

Emergent Hadron Mass in Strong Dynamics

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