Makeenko–Migdal equations for lattice Yang–Mills–Higgs
Abstract
Abstract We derive a form of master loop equations for the lattice Yang–Mills–Higgs theory with structure group SO ( N ), U ( N ) or SU ( N ). Compared to the pure Yang–Mills setting, several new operations arise. In fact, to obtain a closed recursion we must broaden the class of observables to include open Wilson lines. Our approach is based on the conditional Langevin dynamic and yields a concise proof via Itô’s formula.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Advanced Nonlinear Studies
- Publication date
- 15 June 2026
- Language
- EN