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The mass gap for theP(φ)2 quantum field model with a strong external field

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Abstract

We consider theP(φ)2 hamiltonian whose interaction density is given by

$$\lambda P(\phi (x)) + \mu \phi (x)^k $$

wherek is odd and 1≦k<degP. For sufficiently large μ we show that there is a gap in the energy spectrum. In addition we obtain new regions of analyticity in λ and μ for the Schwinger functions and the pressure.

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Authors and Affiliations

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

    Thomas Spencer

  2. Physics Department, Harvard University, 02138, Cambridge, Mass., USA

    Thomas Spencer

Authors
  1. Thomas Spencer
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Additional information

Communicated by A. S. Wightman

Supported in part by the Sloan Foundation and by the National Science Foundation, Grant NSF-GP-24003.

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Spencer, T. The mass gap for theP(φ)2 quantum field model with a strong external field. Commun.Math. Phys. 39, 63–76 (1974). https://doi.org/10.1007/BF01609171

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  • DOI: https://doi.org/10.1007/BF01609171

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