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Operator product expansions and composite field operators in the general framework of quantum field theory

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Abstract

The short distance behavior of field operator products is analyzed. It is shown that under certain conditions operator product expansions can be derived which give complete information on the short distance behavior and lead to the construction of composite field operators.

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References

  1. Lehmann, H.: Nuovo Cimento11, 342 (1954).

    Google Scholar 

  2. Wilson, K.: On products of quantum field operators at short distances. Cornell Report (1964).

  3. —— Phys. Rev.179, 1499 (1969).

    Google Scholar 

  4. Valatin, J.: Proc. Roy. Soc. A225, 535 and226, 254 (1954).

    Google Scholar 

  5. Valatin, J.: Ann. Phys.52, 122 (1969) and Fortschritte der Physik.

    Google Scholar 

  6. Zimmermann, W.: Commun. math. Phys.6, 161 (1967),10, 325 (1968).

    Google Scholar 

  7. Glimm, J., Jaffe, A.: Ann. Math.91, 362 (1970).

    Google Scholar 

  8. Lowenstein, J.: Commun. math. Phys.16, 265 (1970).

    Google Scholar 

  9. Wilson, K.: Phys. Rev. D, Oct. 15 (1970).

  10. Rosen, L.: The (μ2n)2 quantum field theory, higher order estimates, NYU-preprint, to be published in Pure and Applied Mathematics.

  11. Dimock, J.: Estimates, renormalized currents and field equations for the Yukawa field theory, Harvard Thesis, to be published.

  12. Wilson, K.: Unpublished.

  13. Zimmermann, W.: 1979 Brandeis lectures, Vol. I. Cambridge: MIT Press 1970.

    Google Scholar 

  14. Symanzik, K.: Cargese lecture notes and private communication.

  15. Lowenstein, K.: Normal product quantization of currents in lagrangian field theory. Preprint University of Pittsburgh (1971).

  16. Stora, R.: In preparation.

  17. de Mottoni, R., Genz, H.: Nuovo Cimento67, B, 1 (1970).

    Google Scholar 

  18. See, for instance, R. Streater and A. Wightman, PCT, Spin and Statistics. New York: Benjamin 1964.

    Google Scholar 

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Authors and Affiliations

  1. Laboratory of Nuclear Studies, Cornell University, Ithaca, New York

    Kenneth G. Wilson

  2. Department of Physics, New York University, New York, N.Y.

    Wolfhart Zimmermann

Authors
  1. Kenneth G. Wilson
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  2. Wolfhart Zimmermann
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Suported in parts by funds from the National Science Foundation Grant No. GP-25609.

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Wilson, K.G., Zimmermann, W. Operator product expansions and composite field operators in the general framework of quantum field theory. Commun.Math. Phys. 24, 87–106 (1972). https://doi.org/10.1007/BF01878448

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  • DOI: https://doi.org/10.1007/BF01878448

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