Comment on Geometric Interpretation of Ito Calculus on the Lattice
High Energy Physics - Theory
2009-11-10 v1
Abstract
A covariant nature of the Langevin equation in Ito calculus is clarified in applying stochastic quantization method to U(N) and SU(N) lattice gauge theories. The stochastic process is expressed in a manifestly general coordinate covariant form as a collective field theory on the group manifold. A geometric interpretation is given for the Langevin equation and the corresponding Fokker-Planck equation in the sense of Ito.
Keywords
Cite
@article{arxiv.hep-th/0303004,
title = {Comment on Geometric Interpretation of Ito Calculus on the Lattice},
author = {Naohito Nakazawa},
journal= {arXiv preprint arXiv:hep-th/0303004},
year = {2009}
}
Comments
9 pages