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A Mathematical Base for Fibre Bundle Formulation of Lagrangian Quantum Field Theory

A Mathematical Base for Fibre Bundle Formulation of Lagrangian Quantum Field Theory

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 …