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Localised Dirac eigenmodes, chiral symmetry breaking, and Goldstone’s theorem at finite temperature. (English) Zbl 1520.81137

Summary: 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.

MSC:

81T28 Thermal quantum field theory
81R40 Symmetry breaking in quantum theory
81T13 Yang-Mills and other gauge theories in quantum field theory

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