One-Loop Self Energy and Renormalization of the Speed of Light for some Anisotropic Improved Quark Actions

TL;DR

This paper calculates one-loop quantum corrections to key parameters in anisotropic lattice QCD actions, including fermion mass, wave function, and speed of light renormalization, for various anisotropy values and fermion masses.

Contribution

It provides detailed one-loop correction calculations for anisotropic improved quark actions with different fermion masses and anisotropy parameters, enhancing precision in lattice QCD simulations.

Findings

Computed one-loop corrections for M_1, Z_2, and C_0.

Analyzed effects across a range of anisotropy parameters.

Included both massive and massless fermion cases.

Abstract

One-loop corrections to the fermion rest mass M_1, wave function renormalization Z_2 and speed of light renormalization C_0 are presented for lattice actions that combine improved glue with clover or D234 quark actions and keep the temporal and spatial lattice spacings, a_t and a_s, distinct. We explore a range of values for the anisotropy parameter \chi = a_s/a_t and treat both massive and massless fermions.