Geometric prequantization on the path space of a prequantized manifold
Differential Geometry
2015-06-23 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Given a compact symplectic manifold , with integral symplectic form, we prequantize a certain class of functions on the path space for . The functions in question are induced by functions on . We apply our construction to study the symplectic structure on the solution space of Klein-Gordon equation.
Keywords
Cite
@article{arxiv.1411.5716,
title = {Geometric prequantization on the path space of a prequantized manifold},
author = {Indranil Biswas and Saikat Chatterjee and Rukmini Dey},
journal= {arXiv preprint arXiv:1411.5716},
year = {2015}
}
Comments
24 pages,[accepted]. appears in International Journal of Geometric Methods in Modern Physics (2014)