2023/10/05 by György Baranka, Baranka, György, Matteo Giordano +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2310.03542
openalex publication_date 2023/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We investigate the connection between localization of low-lying Dirac modes and Polyakov-loop ordering in the lattice SU(2) Higgs model at finite temperature, probed with the staggered Dirac operator. After mapping out the phase diagram of the model at a fixed temporal extension in lattice units, we study the localization properties of the low-lying modes of the staggered Dirac operator, how these properties change across the various transitions, and how these modes correlate with the gauge and Higgs fields. We find localized low modes in the deconfined and in the Higgs phase, where the Polyakov loop is strongly ordered, but in both cases they disappear as one crosses over to the confined phase. Our findings confirm the general expectations of the "sea/islands" picture, and the more detailed expectations of its refined version concerning the favorable locations of localized modes, also in the presence of dynamical scalar matter.