English

The chiral transition as an Anderson transition

High Energy Physics - Lattice 2014-11-03 v2

Abstract

At low temperature the low-lying QCD Dirac spectrum obeys random matrix statistics. Recently we found that above TcT_{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 TcT_{c} from above, the spectral statistics at λ=0\lambda=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.

Keywords

Cite

@article{arxiv.1410.8392,
  title  = {The chiral transition as an Anderson transition},
  author = {Matteo Giordano and Sandor D. Katz and Tamas G. Kovacs and Ferenc Pittler},
  journal= {arXiv preprint arXiv:1410.8392},
  year   = {2014}
}

Comments

7 pages, 4 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA