EPJ Web Conf.
Volume 274, 2022XVth Quark Confinement and the Hadron Spectrum Conference (ConfXV)
|Number of page(s)||8|
|Section||2 - Parallel Track A|
|Published online||22 December 2022|
Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition
1 Dipartimento di Fisica dell’Università di Pisa and INFN - Sezione di Pisa, Largo Pontecorvo 3, I-56127 Pisa, Italy
2 SISSA, Via Bonomea 265, I-34136, Trieste, Italy
3 ELTE Eötvös Loránd University, Institute for Theoretical Physics, Pázmány Péter sétány 1/A, H-1117, Budapest, Hungary
* e-mail: email@example.com
Published online: 22 December 2022
Ample numerical evidence from lattice calculations shows a strong connection between the confining properties of gauge theories at finite temperature and the localisation properties of the low-lying Dirac eigenmodes. In this contribution we discuss recent progress on this topic, focussing on results for QCD at imaginary chemical potential μI/T = π at temperatures above the Roberge-Weiss transition temperature. These confirm the general picture of low modes turning from delocalised to localised at the deconfinement transition, in a previously unexplored setup with a genuine, physical transition in the presence of dynamical fermions. This further supports the use of Dirac eigenmodes as a tool to investigate the mechanisms behind confinement and the deconfinement transition.
© The Authors, published by EDP Sciences, 2022
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