Localised Dirac eigenmodes and Goldstone's theorem at finite temperature

2021/10/23 by Matteo Giordano, Giordano, Matteo
Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Topological Materials and Phenomena #cond-mat.dis-nn #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.2110.12250

8 pages; contribution to the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology

arxiv created 2021/10/23 · openalex publication_date 2021/10/23 · arxiv updated 2021/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Localisation of Dirac modes in finite-temperature ℤ₂ gauge theory on the lattice
• Chiral transition, eigenmode localisation and Anderson-like models
• Constraints on the Dirac spectrum from chiral symmetry restoration
• There is no local chiral perturbation theory at finite temperature
• Goldstone bosons at non-zero temperature