Nonequivalent representations of nuclear algebras of canonical commutation relations. Quantum fields

Details Nonequivalent representations of nuclear algebras of canonical commutation relations. Quantum fields Nonequivalent representations of nuclear algebras of canonical commutation relations. Quantum fields

2002-02-06

arxiv.org/abs/hep-th/0202038v1

Int.J.Theor.Phys. 41 (2002) 1541-1562

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

Non-Fock representations of the canonical commutation relations modeled over
an infinite-dimensional nuclear space are constructed in an explicit form. The
example of the nuclear space of smooth real functions of rapid decrease results
in nonequivalent quantizations of scalar fields.

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