Analytic structure of the lattice Landau gauge gluon and ghost propagators

2020/08/06 by Alexandre F. Falcão, Orlando Oliveira, Paulo J. Silva · 40 citations
Physics and Astronomy · #Gauge theory #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Lattice gauge theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.102.114518

published in Physical review. D/Physical review. D. 102(11) (American Physical Society)

arxiv created 2020/08/06 · openalex created_date 2020/08/10 · openalex publication_date 2020/12/23 · arxiv updated 2021/01/04 · openalex updated_date 2026/08/05

Abstract

Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Pad'e 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 Pad'e 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 Pad'e 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 Pad'e analysis gives, at least, a rough estimate of the corresponding branch point.

Citations

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