Quantum bundles and quantum interactions

Details Quantum bundles and quantum interactions Quantum bundles and quantum interactions

2005-06-22

arxiv.org/abs/math-ph/0506058v2

Int.J.Geom.Meth.Mod.Phys. 2 (2005) 895-918

Physics

Mathematical Physics

24 pages; some conventions changed in order to agree with standard QFT better; typos corrected; a few other changes made. Jour

Scientific paper

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.

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