Propagators and topology

Abstract

Two popular perspectives on the non-perturbative domain of Yang-Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang-Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.

arXiv comment37 pages, 22 figures, 1 table; v2: Modified presentation; data, results and conclusions unchanged, version to appear in EPJC

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• Regge spectra of excited mesons, harmonic confinement and QCD vacuum structure
• More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge