• Open Access

Localization transition in SU(3) gauge theory

Tamás G. Kovács and Réka Á. Vig
Phys. Rev. D 97, 014502 – Published 12 January 2018

Abstract

We study the Anderson-like localization transition in the spectrum of the Dirac operator of quenched QCD. Above the deconfining transition we determine the temperature dependence of the mobility edge separating localized and delocalized eigenmodes in the spectrum. We show that the temperature where the mobility edge vanishes and localized modes disappear from the spectrum coincides with the critical temperature of the deconfining transition. We also identify topological charge related close to zero modes in the Dirac spectrum and show that they account for only a small fraction of localized modes, a fraction that is rapidly falling as the temperature increases.

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  • Received 12 July 2017

DOI:https://doi.org/10.1103/PhysRevD.97.014502

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Tamás G. Kovács and Réka Á. Vig

  • Institute for Nuclear Research of the Hungarian Academy of Sciences, H-4026 Debrecen, Bem tér 18/c, Hungary

Article Text

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Issue

Vol. 97, Iss. 1 — 1 January 2018

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