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A Yukawa interaction in infinite volume

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Abstract

We prove the existence of the Heisenberg picture field operators for quantum fields with a Yukawa interaction. The interaction density

$$g:\Psi ^ + (x) \Psi (x) \Phi (x):$$

has a momentum cutoff on the Fermions, but no spatial form factor, and is thus translation invariant.

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Authors and Affiliations

  1. Dept. of Mathematics, Mass. Institute of Technology, Cambridge, Mass.

    James Glimm

  2. Dept. of Physics, Harvard University, Cambridge, Mass.

    Arthur Jaffe

Authors
  1. James Glimm
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  2. Arthur Jaffe
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Additional information

Supported in part by the National Science Foundation, NSF GP 7477.

Supported in part by Air Force Office of Scientific Research.

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Glimm, J., Jaffe, A. A Yukawa interaction in infinite volume. Commun.Math. Phys. 11, 9–18 (1968). https://doi.org/10.1007/BF01654299

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  • DOI: https://doi.org/10.1007/BF01654299

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