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arXiv · 1410.8392

The chiral transition as an Anderson transition

Matteo Giordano·Sandor D. Katz·Tamas G. Kovacs·Ferenc Pittler
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Abstract

At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above $T_{c}$ 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 $T_{c}$ 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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Matteo Giordano, Sandor D. Katz, Tamas G. Kovacs, Ferenc Pittler. 2014-10-31. The chiral transition as an Anderson transition. https://arxiv.org/abs/1410.8392

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