Coulomb gauge gluon propagator on anisotropic lattices
Yoshiyuki Nakagawa, Atsushi Nakamura, Takuya Saito, Hiroshi Toki
TL;DR
This paper investigates the Coulomb gauge gluon propagator in SU(3) lattice Yang-Mills theory, demonstrating that anisotropic lattices reduce scaling violations and reveal infrared behaviors like a turnover and divergence.
Contribution
It provides the first detailed comparison of gluon propagators on isotropic and anisotropic lattices, highlighting the benefits of anisotropy for infrared analysis.
Findings
Scaling violation is reduced on anisotropic lattices.
Transverse gluon propagator shows a turnover in the infrared.
Temporal gluon propagator diverges in the infrared.
Abstract
We calculate the transverse and the time-time components of the Coulomb-gauge gluon propagator in SU(3) lattice Yang-Mills theory both on isotropic and anisotropic lattices. The problem of scaling violation observed on the isotropic lattice is drastically reduced as the anisotropy increases; namely, the system approaches the Hamiltonian limit. In the infrared region, the transverse gluon propagator exhibits a turnover and the temporal gluon propagator shows divergent behavior.
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