Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation
High Energy Physics - Theory
2015-06-26 v2
Abstract
Precanonical quantization of pure Yang-Mills fields, which is based on the covariant De Donder-Weyl (DW) Hamiltonian formalism, and its connection with the functional Schrodinger representation in the temporal gauge are discussed. The YM mass gap problem is related to a finite dimensional spectral problem for a generalized Clifford-valued magnetic Schr\"odinger operator in the space of gauge potentials which represents the DW Hamiltonian operator.
Keywords
Cite
@article{arxiv.hep-th/0301001,
title = {Precanonical quantization of Yang-Mills fields and the functional Schroedinger representation},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:hep-th/0301001},
year = {2015}
}
Comments
LaTeX2e, 11pages. v2: 13 pages, minor changes, references added, sect. 5 extended, to appear in Rep. Math. Phys