Renormalised Amperean Area of Brownian Motions and Symanzik Representation of the 2D Abelian Yang--Mills--Higgs Field

Isao Sauzedde

We construct and study the renormalised Amperean area of a Brownian motion. First studied by W.Werner, the Amperean area is related to Lévy area and stochastic integrals in a way a…