On the self-adjointness of the (g(x)φ4)2 Hamiltonian |
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| Authors: | D Masson W K McClary |
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| Institution: | (1) Department of Mathematics, University of Toronto, Canada;(2) Department of Physics, University of Toronto, Toronto, Canada |
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| Abstract: | An alternate proof to that provided by Glimm and Jaffe of the essential self-adjointness of the HamiltonianH for a relativistic scalar quantum field in two dimensional space-time with a  space cut-off quartic interactionH
I
(g) is given. The proof depends mainly on the estimateH
I
2
(g) const. (N+I)4 and on the semiboundedness ofH=H
0+H
I
(g).Supported in part by the National Research Council of Canada. |
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