Work

Nonlocal operators on the lattice for the Higgs-confinement phase transition

Year: 2025

Type: article

Abstract: This is a proceedings contribution for the presentation at XQCD 2025 based on our recent paper.We study the formulation of non-local operators on the lattice for analyzing the Higgs-confinement phase transition in a gauge-Higgs model.Since the Higgs and confined phase share the same symmetries, they cannot be distinguished by local order parameters, and one needs to use the expectation value of non-local operators.In this proceedings contribution, based on our recent work, we present lattice formulations and numerical results for three non-local operators: the Polyakov loop, the ’t Hooft loop, and the Aharonov–Bohm phase.As a testing ground, we employ the charge-2 Abelian Higgs model, whose phase diagram is well established.Our simulations reproduce the known phase structure and successfully demonstrate our lattice formulation.

Source: Journal of subatomic particles and cosmology.

DOI: 10.1016/j.jspc.2025.100267

Authors: Yusuke Shimada, Arata Yamamoto

Institutions: The University of Tokyo, RIKEN, RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,800

Funders: Japan Society for the Promotion of Science, Japan Science and Technology Agency