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Positivity and self adjointness of theP(φ)2 Hamiltonian

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Abstract

We give a new proof that the locally correct HamiltonianH(g) is self adjoint, and that the vacuum energyE(g)=inf spectrumH(g) satisfies −O(D)≦E(g), where 0≦g≦1 andD=diam.supp.g.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, New York

    James Glimm

  2. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts

    Arthur Jaffe

Authors
  1. James Glimm
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  2. Arthur Jaffe
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Supported in part by Air Force Office of Scientific Research, Contract AF 49(638) -1719.

On leave at Princeton University. Alfred P. Sloan Foundation Fellow. Supported in part by Air Force Office of Scientific Research, Contract F44620-70-C-0030.

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Glimm, J., Jaffe, A. Positivity and self adjointness of theP(φ)2 Hamiltonian. Commun.Math. Phys. 22, 253–258 (1971). https://doi.org/10.1007/BF01877508

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