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The Coupling Constant in a φ4 Field Theory

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Recent Developments in Gauge Theories

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 59))

Abstract

Under simple hypothesis, the following statements are proved in a φ4 field theory: (1) The coupling constant is continuous in the parameters, e.g. as the scaling limit is approached or as ultraviolet cutoffs are removed. (2) Zero coupling corresponds to a free field or a generalized free field. (3) Different types of amputation in the definition of the coupling constant differ only by a finite nonzero factor.

Supported in part by the National Science Foundation under Grant PHY78-08066.

Supported in part by the National Science Foundation under Grant PHY 79-16812.

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References

  1. G. Baker, Phys. Rev. B, 15 p. 1553 (1977).

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  2. J. Glimm and A. Jaffe, Ann. Inst. H. Poincaré 22 p. 97 (1975).

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  3. C. Newman, Commun. Math. Phys. 41 p. 1 (1975).

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Author information

Authors and Affiliations

  1. The Rockefeller University, New York, NY, 10021, USA

    James Glimm

  2. Harvard University, Cambridge, MA, 02138, USA

    Arthur Jaffe

Authors
  1. James Glimm
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  2. Arthur Jaffe
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Editor information

Editors and Affiliations

  1. Institute for Theoretical Physics, Utrecht, The Netherlands

    G.’t Hooft

  2. CEN Saclay, Gif-sur-Yvette, France

    C. Itzykson

  3. Harvard University, Cambridge, Massachusetts, USA

    A. Jaffe

  4. University of Hamburg, Hamburg, Federal Republic of Germany

    H. Lehmann

  5. University of Paris, Paris, France

    P. K. Mitter

  6. University of California, Berkeley, California, USA

    I. M. Singer

  7. Center of Theoretical Physics, CNRS, Marseille, France

    R. Stora

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© 1980 Plenum Press, New York

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Glimm, J., Jaffe, A. (1980). The Coupling Constant in a φ4 Field Theory. In: Hooft, G., et al. Recent Developments in Gauge Theories. NATO Advanced Study Institutes Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7571-5_12

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  • DOI: https://doi.org/10.1007/978-1-4684-7571-5_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-7573-9

  • Online ISBN: 978-1-4684-7571-5

  • eBook Packages: Springer Book Archive

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