Zusammenfassung
We study the gluon gluon 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) << Lambda(2)(QCD). In the strong-coupling limit, this same behavior is obtained for the ...
Zusammenfassung
We study the gluon gluon 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) << Lambda(2)(QCD). In the strong-coupling limit, this same behavior is obtained for the larger values of a(2)q(2) (in units of the lattice spacing a), where it is otherwise swamped by the gauge-field dynamics. Deviations for a(2)q(2) < 1 are well parameterized by a transverse gluon mass proportional to 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 (Phys. Rev. D 81:016005, 2010).
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