A general class of quantum fields without cut-offs in two space-time dimensions |
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Authors: | Raphael Høegh-Krohn |
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Affiliation: | (1) Joseph Henry Laboratories, Princeton University, Princeton, N.J.;(2) Matematisk Institutt, Universitetet I Oslo, Blindern, Postboks 1053, Oslo 3, Norway |
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Abstract: | We consider a selfinteracting boson field in two space-time dimensions, with interaction densities of the form:V((x)): where (x) is a scalar boson field, andV() is a real positive function of exponential type. We define the space cut-off interaction by and prove thatHr=H0+Vr, whereH0 is the free energy, is essentially self adjoint. This permits us to take away the space cut-off and we obtain a quantum field free of cut-offs.At leave from Mathematical Institute, Oslo University.This research partially sponsored by the Air Force Office of Scientific Research under Contract AF 49(638)1545. |
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