Calculation of free baryon spectral densities at finite temperature

TL;DR

This paper investigates free nucleon spectral functions at finite temperature, comparing continuum and lattice results, and analyzing lattice artifacts at higher energies to understand nucleon behavior in thermal environments.

Contribution

It provides a detailed comparison of continuum and lattice spectral densities for free nucleons at finite temperature, highlighting lattice artifacts and their impact.

Findings

Continuum spectral densities are computed and presented.

Lattice results are compared to continuum, revealing artifacts at high energies.

Lattice artifacts significantly affect spectral density calculations at higher energies.

Abstract

Following a recent lattice study of nucleon parity doubling at finite temperature from the computation of the two-point nucleon correlators, we study the spectral functions of free nucleons at finite temperature. Spectral densities in the continuum are presented along with a comparison to (free) results on the lattice. Particular attention is given to lattice artefacts at higher energies.