2 papers
math.PR2026
A variational approach for the 2D Abelian Yang-Mills-Higgs measure
Nikolay Barashkov, Ajay Chandra, Ilya Chevyrev +2
We use the Boué-Dupuis variational method to construct the Abelian Yang-Mills-Higgs measure on the two-dimensional torus with polynomial Higgs potentials, giving, to our knowledge,…
math.AP2026
A PDE approach to the 2D Yang-Mills measure
Ilya Chevyrev, Tom Klose, Abdulwahab Mohamed
We introduce the concept of rough additive functions, which extends rough paths theory to line integrals of distributional 1-forms. In the context of gauge theory, we use this noti…