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arXiv · 2211.11507

Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition

Marco Cardinali·Massimo D'Elia·Francesco Garosi·Matteo Giordano
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Abstract

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 ${\mu}_I/T = \pi$ 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.

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Marco Cardinali, Massimo D'Elia, Francesco Garosi, Matteo Giordano. 2022-11-21. Localisation of Dirac eigenmodes and confinement in gauge theories: the Roberge-Weiss transition. https://doi.org/10.1051/epjconf%2F202227402009

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