On the infrared behavior of Landau gauge Yang–Mills theory

Fischer, Christian; Maas, Axel; Pawlowski, Jan M.

doi:10.1016/j.aop.2009.07.009

Cited by 515 publications

(1,011 citation statements)

References 130 publications

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“…The relevant contributions originate from Eqs. (8), (9), (13), and (14), and involve the functions f 2 and f 4 . We obtain the following equation for the coefficient function f 2 to order g 2 :…”

Section: Perturbative Vacuum Functionalmentioning

confidence: 99%

“…Semi-analytical functional approaches to the calculation of gluon and ghost propagators in the infrared, mostly using Dyson-Schwinger equations, have been successful in Landau gauge Yang-Mills theory [12]- [14]. In the so-called ghost dominance approximation, even very simple analytical solutions exist in the far infrared [7], [15]- [17].…”

Section: Introductionmentioning

confidence: 99%

“…(8) acting on the vacuum wave functional, and a contribution from Eq. (14). To order g 2 , the coefficient functions f 2 of Eq.…”

Section: Perturbative Vacuum Functionalmentioning

confidence: 99%

See 2 more Smart Citations

Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

Campagnari¹,

Weber²,

Reinhardt³

et al. 2011

Nuclear Physics B

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We apply a functional perturbative approach to the calculation of the equal-time two-point correlation functions and the potential between static color charges to oneloop order in Coulomb gauge Yang-Mills theory. The functional approach proceeds through a solution of the Schrödinger equation for the vacuum wave functional to order g 2 and derives the equal-time correlation functions from a functional integral representation via new diagrammatic rules. We show that the results coincide with those obtained from the usual Lagrangian functional integral approach, extract the beta function, and determine the anomalous dimensions of the equal-time gluon and ghost two-point functions and the static potential under the assumption of multiplicative renormalizability to all orders. *

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Section: Perturbative Vacuum Functionalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

Campagnari¹,

Weber²,

Reinhardt³

et al. 2011

Nuclear Physics B

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“…The gluon propagator has been studied intensely in the past both on the lattice, with DSEs and the FRG due to its supposed connection with confinement of the non-Abelian gauge theory, see e.g. [200,216,227,[229][230][231][232][233][234][235][236] and references therein. Due to its much more complicated structure, the nonperturbative three-gluon vertex has only been begun to be explored in numerical simulations in recent years, see e.g.…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

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421

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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“…The idea of a gluon mass was explored by different authors [9,10,11,12,13,14,15,16]. Starting from the Dyson-Schwinger equations (DSE) for the gluon and ghost propagators, after a suitable truncation scheme, the equations were solved and the transverse part of the gluon propagator described by a massive type propagator, i.e.…”

Section: Introductionmentioning

confidence: 99%

Running gluon mass from a Landau gauge lattice QCD propagator

Oliveira

Bicudo²

2011

J. Phys. G: Nucl. Part. Phys.

142

137

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Abstract. The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated. Three different scenarios are discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii) a momentum dependent mass. We find that the infrared data can be associated with a massive propagator up to momenta ∼ 500 MeV, with a constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon propagator from the analysis, or 648(7) MeV, if the zero momentum gluon propagator is included in the data sets. The ultraviolet lattice data is not compatible with a massive type propagator with a constant mass. The scenario of a momentum dependent gluon mass gives a decreasing mass with the momentum, which vanishes in the deep ultraviolet region. Furthermore, we show that the functional forms used to describe the decoupling like solution of the Dyson-Schwinger equations are compatible with the lattice data with similar mass scales.

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On the infrared behavior of Landau gauge Yang–Mills theory

Cited by 515 publications

References 130 publications

Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

Baryons as relativistic three-quark bound states

Running gluon mass from a Landau gauge lattice QCD propagator

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