Homotopy and Path Integrals
Quantum Physics
2012-03-02 v3 Mathematical Physics
math.MP
Abstract
This is an introductory review of the connection between homotopy theory and path integrals, mainly focus on works done by Schulman [23] that he compared path integral on SO(3) and its universal covering space SU(2), DeWitt and Laidlaw [15] that they proved the theorem to the case of path integrals on the multiply-connected topological spaces. Also, we discuss the application of the theorem in Aharonov-Bohm effect given by [20,24]. An informal introduction to homotopy theory is provided for readers who are not familiar with the theory.
Cite
@article{arxiv.1107.1459,
title = {Homotopy and Path Integrals},
author = {Fumika Suzuki},
journal= {arXiv preprint arXiv:1107.1459},
year = {2012}
}