06-203 John L. Challifour, Daniel A. Bowman

Canonical Quantization of Lattice Higgs-Maxwell-Chern-Simons Fields: Krein Selfadjointness (67K, LaTeX 2e) Jul 14, 06

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Abstract. It is shown how techniques from constructive quantum field theory may be applied to indefinite metric gauge theories in Hilbert space for the case of a Higgs-Maxwell-Chern-Simons theory on a lattice. The Hamiltonian operator is shown to be Krein essentially selfadjoint by means of unbounded but Krein unitary transformations relating the Hamiltonian to an essentially maximal accretive operator.

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