Covariant Geometric Prequantization of Fields
General Relativity and Quantum Cosmology
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Symplectic Geometry
Quantum Physics
Abstract
A geometric prequantization formula for the Poisson-Gerstenhaber bracket of forms found within the DeDonder-Weyl Hamiltonian formalism earlier is presented. The related aspects of covariant geometric quantization of field theories are sketched. In particular, the importance of the framework of Clifford and spinor bundles and superconnections in this context is underlined.
Cite
@article{arxiv.gr-qc/0012038,
title = {Covariant Geometric Prequantization of Fields},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:gr-qc/0012038},
year = {2007}
}
Comments
2pp, LaTeX2e, uses ws-p9-75x6-50.cls. Contributed paper to the IX Marcel Grossmann Meeting, Rome, Italy, July 2000 (to be published by World Scientific, Singapore). V2: the list of references updated