English

Lattice Gauge Theory and Wilson-Loop Confinement: A Statistical-Mechanical Survey

Statistical Mechanics 2026-05-14 v2

Abstract

Wilson loops provide the central gauge-invariant probe of confinement in lattice gauge theory. This survey reviews the statistical-mechanical formulation of lattice gauge ensembles, the strong-coupling and duality mechanisms behind area laws, finite-temperature and continuum scaling diagnostics, and the mathematical status of Wilson-loop confinement.

Keywords

Cite

@article{arxiv.2605.02156,
  title  = {Lattice Gauge Theory and Wilson-Loop Confinement: A Statistical-Mechanical Survey},
  author = {Ethan Zhou and Marcus Reed and Caleb Hayes},
  journal= {arXiv preprint arXiv:2605.02156},
  year   = {2026}
}

Comments

20 pages