On the infrared behavior of Landau gauge Yang-Mills theory

By C. Fischer, Axel Maas, Jan M. Pawlowski. 2008

368 citations recorded by the source corpus.

We discuss the properties of ghost and gluon propagators in the deep infrared momentum region of Landau gauge Yang-Mills theory. Within the framework of Dyson-Schwinger equations and the functional renormalization group we demonstrate that it is only a matter of infrared boundary conditions whether infrared scaling or decoupling occurs. We argue that the second possibility is at odds with global BRST symmetry in the confining phase. For this purpose we improve upon existing truncation schemes in particular with respect to transversality and renormalization.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/98707678adc0be3c2e2fa44e1ea50674735b64fa

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In Nuclear and High Energy Physics

Citations in the corpus

Nonperturbative properties of Yang–Mills theories (2018, methodology): “Besides the Brown-Pennington projector, also modifications of the integrands [176, 374, 415–419], modifications of the vertices [53], fitting the momentum [269, 380] or the cutoff dependence [183], or additional counterterms [24, 175, 188, 420, 421] were used.”
The Gribov problem and QCD dynamics (2012, methodology): “The group is extended from U(1) to SU(2) and, for QCD, SU(3), but these theories embody the geometrical gauge character introduced by Weyl.”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “in [187, 188, 322, 329].”
The QCD running coupling (2016, methodology): “Fischer, Maas and Pawlowski have argued that only the scaling solution is compatible both with the equations respecting the BRST symmetry [275], and with the color-confining gluons [269].”
The nonperturbative functional renormalization group and its applications (2020, methodology): “Respective FRG-results and applications for the gapped gluon propagator in Yang-Mills theory and QCD in the Landau gauge are given in [162, 676, 711, 713, 721, 727, 811, 812], for related work see [722–724, 753, 813].”
The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, methodology): “[28], although its authors missed the connection between their boundary condition, the zero-momentum value of the renormalized ghost dressing function, and the coupling size at the renormalization momentum.”