Vol. 45, No. 1, 1973

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ISSN: 0030-8730
Renormalized products of the generalized free field and its derivatives

Abel Klein

Vol. 45 (1973), No. 1, 275–292
Abstract

Renormalized products of the generalized free field and its derivatives are shown to exist as continuous sesquilinear forms on the C-vectors of the adjusted free Hamiltonian. Smeared in space and time, with some restrictions on the time smearing, and mild restrictions on the generalized free field, they are shown to be densely defined operators, admitting a self-adjoint extension when the smearing is even in time. Lorentz covariance of these products is shown.

Mathematical Subject Classification
Primary: 81.47
Milestones
Received: 12 November 1971
Published: 1 March 1973
Authors
Abel Klein
Department of Mathematics
University of California, Irvine
340 Rowland Hall
Irvine CA 92697-3875
United States
http://www.faculty.uci.edu/profile.cfm?faculty_id=2060