QUANTUM BUNDLES AND QUANTUM INTERACTIONS

Author:

CANARUTTO DANIEL1

Affiliation:

1. Dipartimento di Matematica Applicata "Giovanni Sansone", Via S. Marta 3, 50139 Firenze, Italia

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 space–time manifold yield a quantum "formalism" along any 1-dimensional timelike submanifold (a "detector"); in the flat, inertial case this reproduces 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Reference15 articles.

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Geometry of Ghosts;Reports on Mathematical Physics;2016-10

2. Frölicher-smooth geometries, quantum jet bundles and BRST symmetry;Journal of Geometry and Physics;2015-02

3. Natural Extensions of Electroweak Geometry and Higgs Interactions;Annales Henri Poincaré;2014-12-07

4. Two-spinor geometry and gauge freedom;International Journal of Geometric Methods in Modern Physics;2014-08

5. Positive spaces, generalized semi-densities, and quantum interactions;Journal of Mathematical Physics;2012-03

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