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Large momentum properties and Wilson short distance expansion in non-perturbative field theory

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Large momentum properties and Wilson-Zimmerman short-distance expansion are established via phase-space analysis for the weakly coupled massive Gross-Neveu model in dimension 2. Methods are applicable more generally.

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References

  1. Mitter, P., Weisz, P.H.: Phys. Rev. D8, 4410 (1973)

    Google Scholar 

  2. Gross, D., Neveu, A.: Phys. Rev. D10, 3235 (1974)

    Google Scholar 

  3. Feldman, J., Magnen, J., Rivasseau, V., Sénéor, R.: Commun. Math. Phys.103, 67 (1986)

    Google Scholar 

  4. Gawedzski, K., Kupiainen, A.: Commun. Math. Phys.99, 197 (1985)

    Google Scholar 

  5. Iagolnitzer, D., Magnen, J.: Commun. Math. Phys.111, 81 (1987)

    Google Scholar 

  6. Wilson, K.: Phys. Rev.179, 1499 (1969)

    Google Scholar 

  7. Zimmerman, W.: Ann. Phys.77, 536 (1973)

    Google Scholar 

  8. 7.a)Symanzik, K.: Commun. Math. Phys.23, 49 (1971),34, 7 (1973)

    Google Scholar 

  9. 7.b)Bros, J., Ducomet, B.: Ann. Inst. H. Poincaré45, 173 (1986)

    Google Scholar 

  10. 8.a)Callan, C.G.: Methods in field theory. In: Balian, R., Zinn-Justin, J. (eds.). Amsterdam: North-Holland 1976, p. 41

    Google Scholar 

  11. 8.b)Gross, D.J.: Methods in field theory, opcit, In:, p. 141

    Google Scholar 

  12. Iagolnitzer, D., Magnen, J.: Commun. Math. Phys.110, 51 (1987)

    Google Scholar 

  13. Iagolnitzer, D.: VIIIth International Congress on Mathematical Physics. Mebkbout, M., Sénéor, R. (eds.). Singapore: World Scientific 1987, p. 622

    Google Scholar 

  14. Bros, J.: Analytic methods in mathematical physics. New York: Gordon and Breach 1970, p. 85

    Google Scholar 

  15. Iagolnitzer, D.: Commun. Math. Phys.88, 235 (1983); Bros, J., Iagolnitzer, D.: 2-particle asymptotic completeness and bound states in weakly coupled field theories. Saclay preprint (1988)

    Google Scholar 

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Communicated by K. Gawedzki

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Iagolnitzer, D., Magnen, J. Large momentum properties and Wilson short distance expansion in non-perturbative field theory. Commun.Math. Phys. 119, 609–626 (1988). https://doi.org/10.1007/BF01218347

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  • DOI: https://doi.org/10.1007/BF01218347

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