Infrared exponents and the strong-coupling limit in lattice Landau gauge

Abstract

We study the gluon and ghost propagators of lattice Landau gauge in the strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these propagators as predicted by a variety of functional continuum methods for asymptotically small momenta $q^2\ll {\Lambda }_{\mathrm{QCD}}^2$. In the strong-coupling limit, this same behavior is obtained for the larger values of a^2q^2 (in units of the lattice spacing a), where it is otherwise swamped by the gauge field dynamics. Deviations for a^2q^2 < 1 are well parameterized by a transverse gluon mass $\propto 1/a$. Perhaps unexpectedly, these deviations are thus no finite-volume effect but persist in the infinite-volume limit. They furthermore depend on the definition of gauge fields on the lattice, while the asymptotic conformal behavior does not. We also comment on a misinterpretation of our results by Cucchieri and Mendes in Phys. Rev. D81 (2010) 016005.

17 pages, 12 figures. Revised version (mainly sections I and II); references and comments on subsequent work on the subject added.

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• Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
• Small parameters in infrared quantum chromodynamics
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Quark-gluon vertex from Nf=2 lattice QCD
• Features of ghost-gluon and ghost-quark bound states related to BRST quartets
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• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
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• Reply to "Comment on 'Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects' "
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• Solving the Ghost-Gluon System of Yang-Mills Theory on GPUs
• On the gauge boson's properties in a candidate technicolor theory
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Yang-Mills Theory in lambda-Gauges
• Diagrammatic Monte-Carlo for weak-coupling expansion of non-Abelian lattice field theories: large-N U(N)xU(N) principal chiral model
• Influence of light quark loops on the Wigner phase with Dyson-Schwinger equations approach