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Register a new userA mathematical base for Fibre bundle formulation of Lagrangian Quantum Field Theory
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Bozhidar Zakhariev Iliev
Publication date
2010
fields
Physics
and research's language is
English
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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 systems 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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