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Anderson metal-to-critical transition in QCD
- 1.0562824 - ÚJF 2023 RIV NL eng J - Journal Article
Alexandru, A. - Horváth, Ivan
Anderson metal-to-critical transition in QCD.
Physics Letters. B. Roč. 833, OCT (2022), č. článku 137370. ISSN 0370-2693. E-ISSN 1873-2445
Institutional support: RVO:61389005
Keywords : QCD phase transition * Quark-gluon plasma * IR phase * Anderson localization * Scale invariance
OECD category: Particles and field physics
Impact factor: 4.3, year: 2022
Method of publishing: Open access
https://doi.org/10.1016/j.physletb.2022.137370
A picture of thermal QCD phase change based on the analogy with metal-to-insulator transition of Anderson type was proposed in the past. In this picture, a low-T thermal state is akin to a metal with deeply infrared (IR) Dirac modes abundant and extended, while a high-T state is akin to an insulator with IR modes depleted and localized below a mobility edge lambda(A) > 0. Here we argue that, while lambda(A) exists in QCD, a high-T state is not an insulator in such an analogy. Rather, it is a critical state arising due to a new singular mobility edge at lambda(IR) =0. This new mobility edge appears upon the transition into the recently proposed IR phase. As a key part of such a metal-to-critical scenario, we present evidence using pure-glue QCD that deeply infrared Dirac modes in the IR phase extend to arbitrarily long distances. This is consistent with our previous suggestion that the IR phase supports scale invariance in the infrared. We discuss the role of Anderson-like aspects in this thermal regime and emphasize that the combination of gauge field topology and disorder plays a key role in shaping its IR physics. Our conclusions are conveyed by the structure of Dirac spectral non-analyticities.
Permanent Link: https://hdl.handle.net/11104/0335019
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