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

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arxiv 2009.00486 v2 pith:3YKV5OTR submitted 2020-09-01 hep-th cond-mat.dis-nnhep-lat

Matteo Giordano This is my paper · ORCID
classification hep-thcond-mat.dis-nnhep-lat
keywords finitediracgoldstonelocalisedtemperaturetheorembreakingbroken
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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.

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  1. Dirac mode localization in QCD near the crossover temperature

    hep-lat 2026-02 conditional novelty 6.0 of 10

    Low-lying Dirac modes in QCD localize at Tloc ≈ 155–158 MeV, the same temperature range as the chiral crossover.

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