Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature

Abstract

I show that a finite density of near-zero localised Dirac modes in the chirally broken phase of a gauge theory can lead to the disappearance of the massless excitations predicted by the Goldstone theorem at finite temperature.

arXiv commentRevised version: title changed; error corrected in Eq. 11, conclusions unchanged; discussion improved, comments added about symmetry breaking and relation with Goldstone's theorem; published version, 13 pages

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Cited by in corpus (6)

• Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature
• Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition