Signals of Confinement in the Dyson-Schwinger Equation for the Gauge Boson Propagator

Mader, Valentin

doi:10.48550/arxiv.1412.6348

Cited by 1 publication

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“…A first inclusion via approximating one of the two loops was realized in [389]. Full numerical calculations were done later [154,155,368,[390][391][392]. In the Landau gauge, an early finding was that the sunset diagram leads only to a very small change [390].…”

Section: Two-loop Diagrams In the Gluon Propagator Dsementioning

confidence: 99%

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Nonperturbative properties of Yang-Mills theories

Huber¹

2018

Preprint

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Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics, the correlation functions of the gluons are basic ingredients for calculations of hadrons from bound state equations. They also provide access to the phase diagram. Correlation functions of gluons are defined only in a gauge fixed setting. The focus of many studies is the Landau gauge which has some features that alleviate calculations. I discuss recent results of correlation functions in this gauge obtained from their equations of motions. Besides the four-dimensional case also two and three dimensions are treated, since the effects of truncations, viz., the procedure to render the infinitely large system of equations finite, can be studied more directly in these cases. In four dimensions, the anomalous running of dressing functions plays a special role and it is explained how resummation is realized in the case of Dyson-Schwinger equations. Beyond the Landau gauge other gauges can provide additional insights or can alleviate the development of new methods. Some aspects or ideas are more easily accessible in alternative gauges and the results presented here for linear covariant gauges, the Coulomb gauge and the maximally Abelian gauge help to refine our understanding of Yang-Mills theories.

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Section: Two-loop Diagrams In the Gluon Propagator Dsementioning

confidence: 99%

“…However, in most perturbative studies, dimensional regularization is employed which cannot be used to identify these divergent terms. The sunset diagram was worked out for a UV cutoff in [390,392]. The general method, which can also be applied to the squint diagram, is described in Appendix.…”

Section: Two-loop Diagrams In the Gluon Propagator Dsementioning

confidence: 99%

Nonperturbative properties of Yang-Mills theories

Huber¹

2018

Preprint

View full text Add to dashboard Cite

show abstract

Signals of Confinement in the Dyson-Schwinger Equation for the Gauge Boson Propagator

Cited by 1 publication

References 162 publications

Nonperturbative properties of Yang-Mills theories

Nonperturbative properties of Yang-Mills theories

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