出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We apply Parisi-Wu type Stochastic Quantization Method to a finite temperature lattice field theory
of the real-time formula. In the theory, the time axis is extended to a complex contour proposed
by Matsumoto et al. and Niemi and Semenoff. The finite temperature property is guaranteed
by (anti-) periodicity of the time contour in the imaginary direction and a part of the time contour
along the real axis describes the real evolution of the system. Taking correlations on the real-time
part, we can directly obtain the relaxation of the system.
We apply numerically this method to a scalar field on the lattice. In the stationary limit of the
stochastic process expectation values of physical quantities converge. Taking field correlation on
the real-time part, relaxation like behavior of the system appears.
