Quantum bundles and quantum interactions
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
A geometric framework for describing quantum particles on a possibly curved background is proposed. Natural constructions on certain distributional bundles (`quantum bundles') over the spacetime manifold yield a quantum ``formalism'' along any 1-dimensional timelike submanifold (a `detector'); in the flat, inertial case this turns out to reproduce the basic results of the usual quantum field theory, while in general it could be seen as a local, ``linearized'' description of the actual physics.
Cite
@article{arxiv.math-ph/0506058,
title = {Quantum bundles and quantum interactions},
author = {Daniel Canarutto},
journal= {arXiv preprint arXiv:math-ph/0506058},
year = {2007}
}
Comments
24 pages; some conventions changed in order to agree with standard QFT better; typos corrected; a few other changes made. Journal reference is of earlier version