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On the semiboundedness of the (ø4)2 Hamiltonian

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Abstract

An elementary alternate proof of the semiboundedness of the locally correct HamiltonianH 0+ί:ø4(x):g(x)dx of the (ø4)2 quantum field theory model. The interaction operator is expressed as the sum of a positive operator and operators which are “tiny” relative to LN ε for any ɛ>0, whereN is the number operator.

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References

  1. Nelson, E.: In: Mathematical theory of elementary particles. Goodman, R., Segal, I. (Ed.). Cambridge, Mass.-London: M.I.T. Press 1965.

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Authors and Affiliations

  1. Department of Mathematics, York University, Toronto, Canada

    W. K. McClary

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  1. W. K. McClary
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Supported by the National Research Council of Canada.

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McClary, W.K. On the semiboundedness of the (ø4)2 Hamiltonian. Commun.Math. Phys. 32, 71–73 (1973). https://doi.org/10.1007/BF01646429

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  • DOI: https://doi.org/10.1007/BF01646429

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