Stochastic quantization provides a novel and interesting connection between quantum field
theory and statistical mechanics, with new applications also in numerical simulations of field …

The Feynman path integrals are becoming increasingly important in the applications of
quantum mechanics and field theory. The path integral formulation of quantum anomalies, ie …

The purpose of this paper is to review relativistic quantum theories with an invariant
evolution parameter. Parametrized relativistic quantum theories (PRQT) have appeared …

This is a textbook on stochastic quantization which was originally proposed by G. Parisi and
YS Wu in 1981 and then developed by many workers. I assume that the reader has finished …

Page 1 World Scientific Lecture Notes in Physics Vol. 1 B Sakita QUANTUM THEORY OF
MANY-VARIABLE SYSTEMS AND FIELDS World Scientific Page 2 Page 3 QUANTUM THEORY …

The quantum hydrodynamic analogy (QHA) equivalent to the Schrodinger equation is
generalized to its stochastic version by a systematic technique. On large scale, the quantum …

This book describes new applications for spatio-temporal chaotic dynamical systems in
elementary particle physics and quantum field theories. The stochastic quantization …

We develop a singular perturbation approach to the problem of first-passage times for non-
Markovian processes driven by Gaussian colored noise near the white-noise limit. In …

Shifts between adaptive peaks, caused by sampling drift, are involved in both speciation and
adaptation via Wright's “shifting balance.” We use techniques from statistical mechanics to …

We introduce a new stochastic regularization for continuum gauge theory. The scheme is a
covariant derivative regularization of the Parisi-Wu Langevin equation, or equivalently, the …