3 papers
math-ph2026
A short proof of confinement in three-dimensional lattice gauge theories with a central
Sourav Chatterjee
Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional lattice gauge theory with Vill…
math.PR2026
A scaling limit of lattice Yang-Mills-Higgs theory
Sourav Chatterjee
The construction of non-Abelian Euclidean Yang-Mills theories in dimension four, as scaling limits of lattice Yang-Mills theories or otherwise, is a central open question of mathem…
math.PR2025
Correlation decay for U(1) lattice Higgs theory: the case of small mass
Sourav Chatterjee, Oren Yakir
We study the lattice Yang-Mills-Higgs model with inverse gauge coupling and Higgs length , in the ``complete breakdown of symmetry" regime. For lattice dimension $d\ge…