Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature
High Energy Physics - Theory
2021-09-08 v2 Disordered Systems and Neural Networks
High Energy Physics - Lattice
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.
Keywords
Cite
@article{arxiv.2009.00486,
title = {Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone's theorem at finite temperature},
author = {Matteo Giordano},
journal= {arXiv preprint arXiv:2009.00486},
year = {2021}
}
Comments
Revised 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