14 citations · 46 across the 12 of their papers we have counts for
12 papers
BRST cohomology of systems with secondary constraints
Alicia Lopez, Alice Rogers
Extending phase space to include time and it canonical conjugate energy as well as the usual momentum and position variables, and then introducing the constraint which sets energy…
Equivariant BRST quantization and reducible symmetries
Alice Rogers
Working from first principles, quantization of a class of Hamiltonian systems with reducible symmetry is carried out by constructing first the appropriate reduced phase space and t…
Gauge fixing and equivariant cohomology
Alice Rogers
The supersymmetric model developed by Witten to study the equivariant cohomology of a manifold with an isometric circle action is derived from the BRST quantization of a simple cla…
Supersymmetry and Brownian motion on supermanifolds
Alice Rogers
An anticommuting analogue of Brownian motion, corresponding to fermionic quantum mechanics, is developed, and combined with classical Brownian motion to give a generalised Feynman-…
A Feynman-Kac Formula for Anticommuting Brownian Motion
Steven Leppard, Alice Rogers
Motivated by application to quantum physics, anticommuting analogues of Wiener measure and Brownian motion are constructed. The corresponding Ito integrals are defined and the exis…
The Topological Particle and Morse Theory
Alice Rogers
Canonical BRST quantization of the topological particle defined by a Morse function h is described. Stochastic calculus, using Brownian paths which implement the WKB method in a ne…