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Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects

Authors: Anthony G. Duarte, Orlando Oliveira, Paulo J. Silva

Ref.: Phys. Rev. D 94, 014502 (2016)

Abstract: The dependence of the Landau gauge two point gluon and ghost correlation functions on the lattice spacing and on the physical volume are investigated for pure SU(3) Yang-Mills theory in four dimensions using lattice simulations. We present data from very large lattices up to 128⁴ and for two lattice spacings 0.10 fm and 0.06 fm corresponding to volumes of ∼ (13 fm)⁴ and ∼ (8 fm)⁴, respectively. Our results show that, for sufficiently large physical volumes, both propagators have a mild dependence on the lattice volume. On the other hand, the gluon and ghost propagators change with the lattice spacing a in the infrared region, with the gluon propagator having a stronger dependence on a compared to the ghost propagator. In what concerns the strong coupling constant α_s(p²), as defined from gluon and ghost two point functions, the simulations show a sizeable dependence on the lattice spacing for the infrared region and for momenta up to ∼1 GeV.

DOI: http://dx.doi.org/10.1103/PhysRevD.94.014502

URL: journals.aps.org