The chiral transition as an Anderson transition

Giordano, Matteo and Katz, Sándor and Kovács, T. G. and Pittler, Ferenc (2014) The chiral transition as an Anderson transition. POS - PROCEEDINGS OF SCIENCE. ISSN 1824-8039

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Abstract

At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above Tc the lowest part of the spectrum consists of localized modes that obey Poisson statistics. An interesting implication of this is that as the system crosses Tc from above, the spectral statistics at λ = 0 changes from Poisson to random matrix. Here we study this transition and its possible implications for the finite temperature transition of QCD-like theories.

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