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Euclidean proof of the Goldstone theorem

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Abstract

The Goldstone theorem in the formulation ofKastler,Robinson, andSwieca is proven in the framework of Euclidean quantum field theory. One utilizes that Schwinger functions have the cluster property in all directions.

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References

  1. Goldstone, J.: Nuovo Cimento19, 154 (1961).

    Google Scholar 

  2. Kastler, D., D. W. Robinson, andA. Swieca: Commun. Math. Phys.2, 108 (1966).

    Google Scholar 

  3. Schwinger, J.: Proc. Nat. Acad. Sci.44, 956 (1958).

    Google Scholar 

  4. Nakano, T.: Progr. Theor. Phys. (Kyoto)21, 241 (1959).

    Google Scholar 

  5. Ruelle, D.: Thesis (Bruxelles, 1959); Nuovo Cimento19, 356 (1961).

  6. Symanzik, K.: J. Math. Phys.7, 510 (1966).

    Google Scholar 

  7. Wightman, A. S.: Phys. Rev.101, 860 (1956).

    Google Scholar 

  8. Borchers, H. J.: Nuovo Cimento33, 1600 (1964).

    Google Scholar 

  9. E.g.,Lam, C.S.: Nuovo Cimento38, 1755 (1965).

    Google Scholar 

  10. Brown, L. S.: Phys. Rev.150, 1338 (1966).

    Google Scholar 

  11. Jaffe, A.: Phys. Rev.158, 1454 (1967).

    Google Scholar 

  12. Peierls, R. E.: Proc. Roy. Soc. (London)A214, 143 (1952).

    Google Scholar 

  13. Schwinger, J.: Phys. Rev.91, 713 (1953).

    Google Scholar 

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Authors and Affiliations

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

    K. Symanzik

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  1. K. Symanzik
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Supported by the National Science Foundation.

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Symanzik, K. Euclidean proof of the Goldstone theorem. Commun.Math. Phys. 6, 228–232 (1967). https://doi.org/10.1007/BF01659979

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  • DOI: https://doi.org/10.1007/BF01659979

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