Massless bound-state excitations and the Schwinger mechanism in QCD

Aguilar, A. C.; Ibañez, David; Mathieu, V.; Papavassiliou, Joannis

doi:10.1103/physrevd.85.014018

Cited by 72 publications

(152 citation statements)

References 58 publications

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“…Note, however, that in the analysis presented in [62,63] the possibility that the ghost-gluon vertex may contain such poles was not contemplated, and Γ p µ was assumed to vanish identically. It is therefore especially interesting to explore whether or not the formation of a nontrivial Γ p µ is dynamically favored.…”

Section: Discussionmentioning

confidence: 99%

“…The fact that only the longitudinally-coupled form factors are allowed to contain pole parts is dictated by the physical requirement that they should act like 'dynamical Nambu-Goldstone bosons', and decouple from physical observables [57][58][59][60][61][62][63].…”

Section: Evading the Seagull Cancellations: Vertices With Polesmentioning

confidence: 99%

“…massless poles [62]. In particular, we use the following models To begin with let us assume that the gluon propagator has a simple massive form, ∆(y) = 1/(y + m 2 ), so that Eq.…”

Section: Further Considerations and Numerical Analysismentioning

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: Discussionmentioning

confidence: 99%

Section: Evading the Seagull Cancellations: Vertices With Polesmentioning

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

Self Cite

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“…The second procedure expresses the answer in terms of quantities such as "the bound-state wave-function", denoted by B 1 , appearing in the study of the Schwinger mechanism from the point of view of the actual formation of the required bound state excitations. This particular quantity satisfies a homogeneous Bethe-Salpeter equation, which, as has been shown recently, admits indeed non-trivial solutions [11].…”

Section: Introductionmentioning

confidence: 52%

“…It is precisely these poles that constitute the main ingredient of the special vertex V . Specifically, all terms appearing in this vertex are proportional to 1/q 2 , 1/r 2 , 1/p 2 , and products thereof, and can be separated in two distinct parts, according to [11] V α µν (q, r, p) = U α µν (q, r, p) + R α µν (q, r, p).…”

Section: Schwinger Mechanism In the Bound-state Language: A Self-consmentioning

confidence: 99%

The dynamical equation of the effective gluon mass

Binosi¹

2012

Proceedings of International Workshop on QCD Green's Functions, Confinement and Phenomenology — PoS(QCD-TNT-II)

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The gauge-invariant generation of a dynamical, momentum-dependent gluon mass is intimately connected with the presence of non-perturbative massless poles in the vertices of the theory, which trigger the well-known Schwinger mechanism. In the deep infrared the integral equation that governs this effective gluon mass assumes a particularly simple form, which may be derived following two seemingly different, but ultimately equivalent procedures. In particular, it may be obtained either as a deviation from a special identity that enforces the masslessness of the gluon in the absence of massless poles, or as a direct consequence of the appearance of a non-vanishing bound-state wave function, associated with the details of the actual formation of these massless poles. In this presentation we demonstrate that, due to profound relations between the various ingredients, the two versions of the gluon mass equation are in fact absolutely identical.

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Emergent Hadron Mass in Strong Dynamics

Binosi

2022

Few-Body Syst

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Massless bound-state excitations and the Schwinger mechanism in QCD

Cited by 72 publications

References 58 publications

Unified description of seagull cancellations and infrared finiteness of gluon propagators

Unified description of seagull cancellations and infrared finiteness of gluon propagators

The dynamical equation of the effective gluon mass

Emergent Hadron Mass in Strong Dynamics

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