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The analytic structure of the lattice Landau gauge gluon and ghost propagators

Authors: Alexandre F. Falcão, O. Oliveira, Paulo J. Silva

Ref.: Phys. Rev. D 102, 114518 (2020)

Abstract: Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Padé approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau gauge gluon propagator the Padé analysis identifies a pair of complex conjugate poles and a branch cut along the negative real axis of the Euclidean p2 momenta. For the Landau gauge ghost propagator the Padé analysis shows a single pole at p2=0 and a branch cut also along the negative real axis of the Euclidean p2 momenta. The method gives precise estimates for the gluon complex poles, that agree well with other estimates found in the literature. For the branch cut the Padé analysis gives, at least, a rough estimate of the corresponding branch point.

DOI: 10.1103/PhysRevD.102.114518