General analytic characterization of gaugeability for Feynman-Kac functionals.

We give a general analytic characterization of the gaugeability for generalized Feynman-Kac functionals involving continous additive functionals locally of zero energy generalizing the earlier work on the analytic characterization of the gaugeability of Feynman-Kac functional for absorbing Brownian motion on a bounded domain given by Aizenman-Simon (Commun Pure Appl Math 35(2), 209-273, 1982). The result also extends the previous known results on the analytic characterization of the gaugeability for generalized Feynman-Kac functionals in the framework of symmetric Markov processes satisfying irreducibility condition and absolute continuity condition. [ABSTRACT FROM AUTHOR]