Yang-Mills ghost propagator in linear covariant gauges

Siringo, Fabio

doi:10.1103/physrevd.99.094024

Cited by 15 publications

(33 citation statements)

References 27 publications

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“…In this respect, the appearance of F(0) in our expressions, through the function f 2 (x) of Eq. (3.2), is puzzling, given that for R ξ gauges other than Landau the ghost dressing function has been found to vanish at the origin [75,116,117], which would seem to leave f 2 (x) undefined. It must be noted, however, that the ingredients originating from the ghost-gluon scattering kernel in the STI could behave very differently away from the Landau gauge, possibly introducing divergences that would compensate the vanishing F(0), yielding finally a well-defined ODE.…”

Section: Discussionmentioning

confidence: 99%

Gluon dynamics from an ordinary differential equation

2021

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We present a novel method for computing the nonperturbative kinetic term of the gluon propagator from an ordinary differential equation, whose derivation hinges on the central hypothesis that the regular part of the three-gluon vertex and the aforementioned kinetic term are related by a partial Slavnov–Taylor identity. The main ingredients entering in the solution are projection of the three-gluon vertex and a particular derivative of the ghost-gluon kernel, whose approximate form is derived from a Schwinger–Dyson equation. Crucially, the requirement of a pole-free answer determines the initial condition, whose value is calculated from an integral containing the same ingredients as the solution itself. This feature fixes uniquely, at least in principle, the form of the kinetic term, once the ingredients have been accurately evaluated. In practice, however, due to substantial uncertainties in the computation of the necessary inputs, certain crucial components need be adjusted by hand, in order to obtain self-consistent results. Furthermore, if the gluon propagator has been independently accessed from the lattice, the solution for the kinetic term facilitates the extraction of the momentum-dependent effective gluon mass. The practical implementation of this method is carried out in detail, and the required approximations and theoretical assumptions are duly highlighted.

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Section: Discussionmentioning

confidence: 99%

Gluon dynamics from an ordinary differential equation

2021

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“…By direct inspection, and with the help of Tables I, II, and III, one can find that the most general counterterm with vanishing Q charge is of the form Terms containing the parameters of the model are forbidden in Δ due to their BRST doublet structure in Eq. (19). Also, as in usual Yang-Mills theories gauged in a linear covariant wayà la Faddeev-Popov, the linear and quadratic terms in A μ mixed with other fields vanish because of the BRST invariance.…”

Section: Renormalizability Of the Center-vortex Free Sectormentioning

confidence: 91%

“…which is invariant under the extended transformations in Eq. (19). The full action in the flavor sector is the following:…”

Section: The Ym Quantization On the V(s 0 ) Sectorsmentioning

confidence: 99%

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Renormalizability of the center-vortex free sector of Yang-Mills theory

Fiorentini

Oxman

et al. 2020

Phys. Rev. D

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In this work, we analyze a recent proposal to detect SUðNÞ continuum Yang-Mills sectors labeled by center vortices, inspired by Laplacian-type center gauges in the lattice. Initially, after the introduction of appropriate external sources, we obtain a rich set of sector-dependent Ward identities, which can be used to control the form of the divergences. Next, we show the all-order multiplicative renormalizability of the center-vortex free sector. These are important steps towards the establishment of a first-principles, well-defined, and calculable Yang-Mills ensemble.

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“…While in principle the failure of ordinary PT to describe the gluon's infrared mass could be attributed to its break down at low energies, in recent years a new approach to the perturbation theory of pure Yang-Mills (YM) theory has shown that most of the nonperturbative content of the gluon dynamic -at least as far as the two-point functions are concerned -can be absorbed into a shift of the expansion point of the Yang-Mills perturbative series. This approach, termed the screened massive expansion [47][48][49][50][51][52][53][54][55][56][57][58], is a simple extension of ordinary PT, formulated in such a way as to treat the transverse gluons as massive already at tree level while leaving the total action of the theory unchanged. The screened expansion has proven to be self-consistent to one loop -since it is renormalizable and leads to an infraredfinite and moderately small running coupling constant [57] -and predictive when optimized by principles of gauge invariance [54]; it yields two-point functions which are in excellent agreement with the lattice data in the Landau gauge [54,57].…”

Section: Introductionmentioning

confidence: 99%

Screened massive expansion of the quark propagator in the Landau gauge

Comitini,

Rizzo,

Battello

et al. 2021

Preprint

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The infrared behavior of the quark propagator is studied at one loop and in the Landau gauge (ξ = 0) using the screened massive expansion of full QCD and three different resummation schemes for the quark self-energy. The shift of the expansion point of perturbation theory, which defines the screened expansion, together with a non-standard renormalization of the bare parameters, proves sufficient to describe the dynamical generation of an infrared quark mass also in the chiral limit. Analytically, the scale for such a mass is set by a mass parameter M , whose value is fixed by a fit to the lattice data for quenched QCD. The quark mass function M(p 2 ) is shown to be in very good agreement with the lattice results. The quark Z-function, on the other hand, shows the wrong qualitative behavior in all but one of the studied resummation schemes, where its behavior is qualitatively correct, but only at sufficiently high energies.

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Yang-Mills ghost propagator in linear covariant gauges

Cited by 15 publications

References 27 publications

Gluon dynamics from an ordinary differential equation

Gluon dynamics from an ordinary differential equation

Renormalizability of the center-vortex free sector of Yang-Mills theory

Screened massive expansion of the quark propagator in the Landau gauge

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