Anderson transition and multifractals in the spectrum of the Dirac operator of quantum chromodynamics at high temperature

Ujfalusi, László and Giordano, Matteo and Pittler, Ferenc and Kovács, Tamás György and Varga, Imre (2015) Anderson transition and multifractals in the spectrum of the Dirac operator of quantum chromodynamics at high temperature. PHYSICAL REVIEW D, 92 (9). ISSN 2470-0010

Preview

Text 1507.02162.pdf Available under License Creative Commons Attribution. Download (775kB) | Preview

Abstract

We investigate the Anderson transition found in the spectrum of the Dirac operator of Quantum Chromodynamics (QCD) at high temperature, studying the properties of the critical quark eigenfunctions. Applying multifractal finite-size scaling we determine the critical point and the critical exponent of the transition, finding agreement with previous results, and with available results for the unitary Anderson model. We estimate several multifractal exponents, finding also in this case agreement with a recent determination for the unitary Anderson model. Our results confirm the presence of a true Anderson localization-delocalization transition in the spectrum of the quark Dirac operator at high-temperature, and further support that it belongs to the 3D unitary Anderson model class.

Actions (login required)

Edit Item