Landau gauge gluon and ghost propagators from lattice QCD

Ilgenfritz, Ernst-Michael; Müller–Preussker, M.; Sternbeck, André; Schiller, A.; Bogolubsky, I.L.

doi:10.1590/s0103-97332007000200006

Cited by 120 publications

(180 citation statements)

References 43 publications

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“…Using ansätze for the three-and four-point vertices of the theory, first self-consistent solutions for the gluon and quark propagator have been obtained in [222]. Modern truncations also include numerical solutions for the three-and four-point functions [209,215,216] whose results compare well with those from lattice QCD [199,[223][224][225][226][227]. The typical behaviour of the quark mass function for different quark flavours is shown in the right panel of Fig.…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 80%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

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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Section: Munczek-nemirovsky Modelmentioning

confidence: 80%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

530

View full text Add to dashboard Cite

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“…In four dimensions, results for su(3) are also available, from both lattice [271,272] and continuum calculations [160,273]. They show the same qualitative behavior, and almost the same quantitative behavior.…”

Section: Verticesmentioning

confidence: 95%

Gauge bosons at zero and finite temperature

2013

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Gauge theories of the Yang-Mills type are the single most important building block of the standard model of particle physics and beyond. They are an integral part of the strong and weak interactions, and in their Abelian version of electromagnetism. Since Yang-Mills theories are gauge theories their elementary particles, the gauge bosons, cannot be described without fixing a gauge. Therefore, to obtain their properties a quantized and gauge-fixed setting is necessary.Beyond perturbation theory, gauge-fixing in non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity, which requires the introduction of non-local constraints. The construction and implementation of a method-independent gauge-fixing prescription to resolve this ambiguity is the single most important first step to describe gauge bosons beyond perturbation theory. Proposals for such a procedure, generalizing the perturbative Landau gauge, are described here. Their implementation are discussed for two example methods, lattice gauge theory and the quantum equations of motion.After gauge-fixing, it is possible to study gauge bosons in detail. The most direct access is provided by their correlation functions. The corresponding two-and three-point correlation functions are presented at all energy scales. These give access to the properties of the gauge bosons, like their absence from the asymptotic physical state space, particle-like properties at high energies, and the running coupling. Furthermore, auxiliary degrees of freedom are introduced during gauge-fixing, and their properties are discussed as well. These results are presented for two, three, and four dimensions, and for various gauge algebras.Finally, the modifications of the properties of gauge bosons at finite temperature are presented. Evidence is provided that these reflect the phase structure of Yang-Mills theory. However, it is found that the phase transition is not deconfining the gauge bosons, although the bulk thermodynamical behavior is of a Stefan-Boltzmann type. The resolution of this apparent contradiction is also presented. In addition, this resolution provides an explicit and constructive solution to the Linde problem.Thus, the technical and conceptual framework presented here can be taken as a basis how to determine correlation functions in Yang-Mills theory, therefore opening up the avenue to investigate theories of direct practical relevance. The status of this effort will be briefly described, alongside with connections to other approaches to Yang-Mills theory beyond perturbation theory.

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“…pure SU (3) Yang-Mills theory] [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30], in pure SU (2) Yang-Mills theory (in 2, 3 and 4 space-time dimensions) [31,32,33,34,35,36,37,38,39,40,41] and in full QCD [42,43,44,45]. All lattice studies in 4d suggest a finite nonzero infrared gluon propagator [20,24,26,27,42], in contradiction with the infrared Schwinger-Dyson solution.…”

Section: Introductionmentioning

confidence: 99%

“…The corresponding β values for SU (2) were computed using the asymptotic scaling analysis discussed in [35]. propagator G(k 2 ) has been studied in [22,25,28,29,30,31,38,39,40,41,43,47,48,49,50,51,52,53] and in all cases an enhancement of the propagator compared to the tree-level behavior 1/k 2 was observed. Concerning the comparison between lattice results and the SDE solution, the two propagators seem to agree only qualitatively.…”

Section: Introductionmentioning

confidence: 99%

Just how different are theSU(2)andSU(3)Landau-gauge propagators in the infrared regime?

et al. 2007

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Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?A. Cucchieri and T. Mendes The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU (3) gauge theory correspond to the physical case in the limit of infinite quark mass, the SU (2) case (i.e. pure two-color QCD) is usually employed as a simplification, in the hope that qualitative features be the same as for the SU (3) case. Here we carry out the first comparative study of lattice (Landau) propagators for these two gauge groups. Our data were especially produced with equivalent lattice parameters in order to allow a careful comparison of the two cases. We find very good agreement between SU (2) and SU (3) propagators, showing that in the IR limit the equivalence of the two cases is quantitative, at least down to about 1 GeV. Our results suggest that the infrared behavior of these propagators is independent of the gauge group SU (Nc), as predicted by Schwinger-Dyson equations.

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Landau gauge gluon and ghost propagators from lattice QCD

Cited by 120 publications

References 43 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Gauge bosons at zero and finite temperature

Just how different are theSU(2)andSU(3)Landau-gauge propagators in the infrared regime?

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