Stochastic quantisation of Yang–Mills–Higgs in 3D
Stochastic quantisation of Yang–Mills–Higgs in 3D
Abstract We define a state space and a Markov process associated to the stochastic quantisation equation of Yang–Mills–Higgs (YMH) theories. The state space $\mathcal{S}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>S</mml:mi> </mml:math> is a nonlinear metric space of distributions, elements of which can be used as initial conditions for the (deterministic and stochastic) YMH …