Analysis of $\omega$ self-energy at finite temperature and density in the real-time formalism

TL;DR

This paper calculates the in-medium omega meson self-energy at finite temperature and density using real-time field theory, analyzing spectral modifications due to baryon and meson loops in a thermal environment.

Contribution

It provides a detailed evaluation of the omega self-energy including baryon and meson loops, and derives the modified spectral function at finite temperature and density.

Findings

Computed the imaginary part of the self-energy from branch cut discontinuities.

Included a comprehensive set of baryon resonances in the analysis.

Obtained the omega spectral function in a thermal medium for various conditions.

Abstract

Using the real time formalism of field theory at finite temperature and density we have evaluated the in-medium $\omega$ self-energy from baryon and meson loops. We have analyzed in detail the discontinuities across the branch cuts of the self-energy function and obtained the imaginary part from the non-vanishing contributions in the cut regions. An extensive set of resonances have been considered in the baryon loops. Adding the meson loop contribution we obtain the full modified spectral function of $\omega$ in a thermal gas of mesons, baryons and anti-baryons in equilibrium for several values of temperature and baryon chemical potential.