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Block spin approach to φ 43 field theory

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Abstract

A block spin approach to the Euclideanφ 4 field theory in three dimensions is proposed by using the three-dimensional version of Gawedzki and Kupiainen's block spin transformation method. The latticeφ 43 model recovers the rotation invariance in the continuum limit, when the coupling constant is small.

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References

  1. J. Glimm and A. Jaffe,Fortschr. Phys. 21:327–376 (1976).

    Google Scholar 

  2. D. C. Brydges, J. Fröhlich, and A. D. Sokal,Commun. Math. Phys. 91:141–186 (1983).

    Google Scholar 

  3. K. Gawedzki and A. Kupiainen,Commun. Math. Phys. 99:197–252 (1985).

    Google Scholar 

  4. T. Hara,J. Stat. Phys. 47:57–98 (1987).

    Google Scholar 

  5. T. Hara and H. Tasaki,J. Stat. Phys. 47:99–121 (1987).

    Google Scholar 

  6. K. Osterwalder and R. Schrader,Commun. Math. Phys. 31:83–112 (1973);42:281–305 (1975).

    Google Scholar 

  7. G. Benfatto, M. Cassandro, G. Gallavotti, F. Nicoló, E. Olivieri, E. Presutti, and E. Scacciatilli,Commun. Math. Phys. 71:95–130 (1980).

    Google Scholar 

  8. C. King,Commun. Math. Phys. 102:649–677 (1986);103:323–349 (1986).

    Google Scholar 

  9. K. Gawedzki and A. Kupiainen,Commun. Math. Phys. 77:31–64 (1980);Ann. Phys. (N.Y.)147:198–243 (1983).

    Google Scholar 

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Watanabe, H. Block spin approach to φ 43 field theory. J Stat Phys 54, 171–190 (1989). https://doi.org/10.1007/BF01023477

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  • DOI: https://doi.org/10.1007/BF01023477

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