Supersymmetric quantum stochastic analysis

D. Roekaerts

R. Graham, D. Roekaerts

M O'Connor

The author gives an explicit relation between the path integral and the operator ordering of the Hamiltonian for supersymmetric quantum mechanics. Using a stochastic differential equation the author is able to resolve the ambiguities associated with defining the supersymmetric path integral.

Asim Gangopadhyaya, Jeffry V. Mallow A, Constantin Rasinariu

Paula F. Bienzobaz, Pedro R. S. Gomes, M. Gomes

We use the stochastic quantization method to construct a supersymmetric version of the quantum spherical model. This is based on the equivalence between the Brownian motion described by a Langevin equation and the supersymmetric quantum mechanics, which is connected with the existence of the Nicolai map. We investigate the critical behavior of the supersymmetric model at finite as well as at zero temperatures, showing that it exhibits both classical and quantum phase transitions, and determine the critical dimensions.

Nugzar Makhaldiani

q-deformed algebra and its fermion, boson and intermediate limits; universal stochastic and supersymmetric dynamics; hamiltonization of the dynamics and spin dynamics in external fields considered.