Lattice Gauge Theory and Wilson-Loop Confinement: A Statistical-Mechanical Survey
Ethan Zhou, Marcus Reed, Caleb Hayes
TL;DR
This survey reviews the statistical-mechanical approach to lattice gauge theory, focusing on Wilson loops as probes of confinement, and discusses mechanisms, diagnostics, and mathematical aspects of Wilson-loop confinement.
Contribution
It provides a comprehensive overview of the statistical-mechanical formulation and mechanisms behind Wilson-loop confinement in lattice gauge theory.
Findings
Wilson loops serve as gauge-invariant probes of confinement.
Strong-coupling and duality mechanisms explain area laws.
Diagnostics for finite-temperature and continuum scaling are discussed.
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.
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