2021/11/12 by Malin Palö Forsström, Forsström, Malin Palö · 1 citation
Physics and Astronomy · #70S15 #81T13 #81T25 #82B20 #FOS: Mathematics #Physics of Superconductivity and Magnetism #Probability (math.PR) #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2111.06620
openalex publication_date 2021/11/12 · openalex created_date 2022/10/20 · openalex updated_date 2026/07/28
Lattice gauge theories are lattice approximations of the Yang-Mills theory in\nphysics. The abelian lattice Higgs model is one of the simplest examples of a\nlattice gauge theory interacting with an external field. In a previous\npaper~ citeflv2021, we calculated the leading order term of the expected\nvalue of Wilson loop observables in the low-temperature regime of the abelian\nlattice Higgs model on \ℤ4 , with structure group G = \ℤn\n for some n \≥ 2. In the absence of a Higgs field, these are important\nobservables since they exhibit a phase transition which can be interpreted as\ndistinguishing between regions with and without quark confinement. However, in\nthe presence of a Higgs field, this is no longer the case, and a more relevant\nfamily of observables are so-called open Wilson lines. In this paper, we extend\nand refine the ideas introduced in~ citeflv2021 to calculate the leading\norder term of the expected value of the more general Wilson line observables.\nUsing our main result, we then calculate the leading order term of several\nnatural ratios of expected values and confirm the behavior predicted by\nphysicists.\n