A mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory
Mathematical Physics
2011-04-11 v1 math.MP
Abstract
The paper contains a differential-geometric foundations for an attempt to formulate Lagrangian (canonical) quantum field theory on fibre bundles. In it the standard Hilbert space of quantum field theory is replace with a Hilbert bundle; the former playing a role of a (typical) fibre of the letter one. Suitable sections of that bundle replace the ordinary state vectors and the operators on the system's Hilbert space are transformed into morphisms of the same bundle. In particular, the field operators are mapped into corresponding field morphisms.
Keywords
Cite
@article{arxiv.1010.3892,
title = {A mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:1010.3892},
year = {2011}
}
Comments
12 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For other papers on the same topic, view http://theo.inrne.bas.bg/~bozho/