Fluctuations of the chiral condensate and quasi-particle spectra near phase transition

TL;DR

This paper explores how soft modes near the chiral phase transition influence quark spectra, revealing a novel three-peak structure from quark-antiquark mixing caused by resonant scattering.

Contribution

It demonstrates the origin of the three-peak quark spectra near the transition temperature using Yukawa models, highlighting the role of soft mode interactions.

Findings

Discovery of a three-peak structure in quark spectra

Identification of quark-antiquark mixing due to soft modes

Resonant scattering causes novel quasi-particle excitations

Abstract

We investigate the quark spectrum near but above the critical temperature of the chiral transition, taking into account the precursory soft modes. It is found that there appear novel excitation spectra of quasi-quarks and quasi-antiquarks with a three-peak structure. By a detailed analysis on the formation of the three-peak structure using Yukawa models, it is shown that the new quark spectra originate from the mixing between a quark (anti-quark) and an antiquark hole (quark hole) caused by a resonant scattering of the quasi-quark with the soft modes which have a small but finite excitation energy with a small width near the critical temperature.