A mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory

Details A mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory A mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory

2010-10-19

arxiv.org/abs/1010.3892v1

AIP Conf.Proc.1340:42-52,2011

Physics

Mathematical Physics

12 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For other papers on the same topic, view http://theo.inrne.b

Scientific paper

10.1063/1.3582756

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.

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