Ghost dynamics in the soft gluon limit

Aguilar, A. C.; Ambrósio, C. O.; Soto, F. De; Ferreira, M. N.; Oliveira, B. M.; Papavassiliou, Joannis; Rodríguez-Quintero, J.

doi:10.1103/physrevd.104.054028

Cited by 44 publications

(121 citation statements)

References 141 publications

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“…A typical quantity employed in a variety of phenomenological applications is the effective charge, defined as a special renormalization-group invariant combination of propagators and vertex form factors. In the case of the three-gluon vertex in the soft-gluon limit, the corresponding charge, to be denoted by α 3g (q 2 ), is defined as [6,28,57,61,62]…”

Section: A Effective Couplingsmentioning

confidence: 99%

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Theory and phenomenology of the three-gluon vertex

Papavassiliou¹,

Aguilar²,

Ferreira³

2022

Preprint

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The three-gluon vertex is a fundamental ingredient of the intricate QCD dynamics, being inextricably connected to key nonperturbative phenomena, such as the emergence of a mass scale in the gauge sector of the theory. In this presentation we review the main theoretical properties of the three-gluon vertex in the Landau gauge, obtained from the fruitful synergy between functional methods and lattice simulations. We pay particular attention to the manifestation and origin of the infrared suppression of its main form factors and the associated zero crossing. In addition, we discuss certain characteristic phenomenological applications that require this special vertex as input.

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Section: A Effective Couplingsmentioning

confidence: 99%

“…6. It is important to mention that both effective couplings are computed in the same renormalization scheme, namely the Taylor scheme [64][65][66] where we have fixed that α s (µ) = 0.244, at µ = 4.3 GeV (for more details see [62]).…”

Section: A Effective Couplingsmentioning

confidence: 99%

Theory and phenomenology of the three-gluon vertex

Papavassiliou¹,

Aguilar²,

Ferreira³

2022

Preprint

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“…with the (d i ) αβ denoting the contributions from the correspondingly named diagrams in Fig. 1 and read [49] (…”

Section: Coupled System Of Sdesmentioning

confidence: 99%

“…In the present work, we solve the coupled system of SDEs governing the momentum evolution of the ghost propagator, D(p 2 ), and the form factor, denoted by B 1 (r, p, q), of the classical (tree level) tensor structure of the ghost-gluon vertex. For the gluon propagator which appears as ingredient, we capitalize on lattice results [47][48][49], carefully extrapolated to the continuum and to infinite volume [48,49] and displaying the now firmly established IR saturation [40,47,[50][51][52][53][54][55], associated with the dynamical generation of a gluon mass gap [6,7,41,56,57]. In this way, we are left with the three-gluon vertex, Γ αµν (q, r, p), as the most uncertain ingredient, whose nonperturbative structure has only recently begun to be unraveled [18, 20, 31, 32, 34, 35, 37-42, 45, 46].…”

Section: Introductionmentioning

confidence: 99%

“…Then, we use our system of equations to indirectly probe the impact of Γ αµν (q, r, p). To this end, we employ two different methods: first, we implement an approximation derived from the Slavnov-Taylor identity (STI) that Γ αµν (q, r, p) satisfies [20,58] and which captures its main known features; next, in the soft gluon limit the entire contribution of Γ αµν (q, r, p) to our system of SDEs reduces [49] to a special projection, denoted by L sg (q 2 ), which has been accurately determined on the lattice [38,39,42]. Comparing the two solutions in the soft gluon limit, we find nearly prefect agreement, thus validating the approximation employed for the general kinematics Γ αµν (q, r, p).…”

Section: Introductionmentioning

confidence: 99%

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Ghost dynamics from Schwinger-Dyson equations

Ferreira¹

2022

Preprint

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We discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon propagator and an approximate STI-derived Ansatz for the general kinematics three-gluon vertex. The numerical solution of the resulting coupled system exhibits excellent agreement to lattice data, for both the ghost dressing function and the ghostgluon vertex, and allows the determination of the coupling constant. Next, in the soft gluon limit the full three-gluon vertex appearing in the ghost-gluon equation reduces to a special projection that is tightly constrained by lattice simulations. Specializing the ghost-gluon Schwinger-Dyson equation to this limit provides a nontrivial consistency check on the approximations employed for the three-gluon interaction and shows that the latter has an important quantitative effect on the ghost-gluon vertex. Finally, our results stress the importance of eliminating artifacts when confronting lattice data with continuum predictions.

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Restoring rotational invariance for lattice QCD propagators

Soto

2022

J. High Energ. Phys.

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This note presents a method to reduce the discretization errors appearing when solving a Quantum Field Theory in a hypercubic lattice in both position and momentum-space. The method exploits the artifacts that break rotational symmetry to recover rotationally invariant results for two-point Green functions. We show that a combination of the results obtained in position and momentum space can be useful to signal the presence of rotationally invariant artifacts making use of their approximate Fourier transforms in the continuum. The method will be introduced using a Klein-Gordon propagator, and a direct application to gluon propagator in quenched lattice QCD will be given.

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Ghost dynamics in the soft gluon limit

Cited by 44 publications

References 141 publications

Theory and phenomenology of the three-gluon vertex

Theory and phenomenology of the three-gluon vertex

Ghost dynamics from Schwinger-Dyson equations

Restoring rotational invariance for lattice QCD propagators

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