Homotopy and Path Integrals

Details Homotopy and Path Integrals Homotopy and Path Integrals

2011-07-07

arxiv.org/abs/1107.1459v3

Physics

Quantum Physics

Scientific paper

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.

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