Anderson localization in sigma models

Abstract

In QCD above the chiral restoration temperature there exists an Anderson transition in the fermion spectrum from localized to delocalized modes. We investigate whether the same holds for nonlinear sigma models which share properties like dynamical mass generation and asymptotic freedom with QCD. In particular we study the spectra of fermions coupled to (quenched) CP(N-1) configurations at high temperatures. We compare results in two and three space-time dimensions: in two dimensions the Anderson transition is absent, since all fermion modes are localized, while in three dimensions it is present. Our measurements include a more recent observable characterizing level spacings: the distribution of ratios of consecutive level spacings.

7 pages, Lattice 2017, proceedings

References in corpus (3)

• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Fixed Points of Nonlinear Sigma Models in d>2
• Universality and the QCD Anderson Transition

Cited by in corpus (4)

• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Localization of Dirac modes in finite-temperature ${\mathbb{Z}}_2$ gauge theory on the lattice
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• Localisation of Dirac modes in gauge theories and Goldstone's theorem at finite temperature