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Mode Regularization of the Configuration Space Path Integral for a Particle in Curved Space
Fiorenzo Bastianelli
The proper definition and evaluation of the configuration space path integral for the motion of a particle in curved space is a notoriously tricky problem. We discuss a consistent…
On Mode Regularization of the Configuration Space Path Integral in Curved Space
Fiorenzo Bastianelli, Olindo Corradini
The path integral representation of the transition amplitude for a particle moving in curved space has presented unexpected challenges since the introduction of path integrals by F…
Mode regularization, time slicing, Weyl ordering and phase space path integrals for quantum mechanical nonlinear sigma models
Fiorenzo Bastianelli, Koenraad Schalm, Peter van Nieuwenhuizen
A simple, often invoked, regularization scheme of quantum mechanical path integrals in curved space is mode regularization: one expands fields into a Fourier series, performs calcu…