Sourav Chatterjee

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math.PR2026

A scaling limit of $SU (2)$ 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 $I^^{2} > 0$ and Higgs length $I^\pm > 0$ , in the ``complete breakdown of symmetry" regime. For lattice dimension $d\ge…

A scaling limit of SU(2) lattice Yang-Mills-Higgs theory

Correlation decay for U(1) lattice Higgs theory: the case of small mass

A scaling limit of $SU (2)$ lattice Yang-Mills-Higgs theory