A Mathematical Base for Fibre Bundle Formulation of Lagrangian Quantum Field Theory
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Publication:3109910
DOI10.1063/1.3567123zbMATH Open1241.81125arXiv1010.3892OpenAlexW2120986733MaRDI QIDQ3109910
Author name not available (Why is that?)
Publication date: 26 January 2012
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1010.3892
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