Skip to main content
Log in

Renormalized loop expansion to compute finite size effects of the constraint effective potential

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

In latticeφ 4 close to the critical line, finite size effects can be computed by renormalized loop expansions. In order to do so, the constraint effective potential is computed to two loop order. Using this expression, we are able to extract results for renormalized masses and coupling constants from Multigrid Monte Carlo data of Mack and Meyer for the constraint effective potential close to the critical line, and compare them with the analytical results ofLüscher and Weisz. Perfect agreement is found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Fukuda, E. Kyriakopoulos: Nucl. Phys. B85 (1975) 354

    Google Scholar 

  2. L. O'Raifeartaigh, A. Wipf, H. Yoneyama: Nucl. Phys. B271 (1986) 653

    Google Scholar 

  3. J. Goldstone, A. Salam, S. Weinberg: Phys. Rev. 127 (1962) 965; G. Jonna-Lasinio: Nuovo Cimento 34 (1964) 1719

    Google Scholar 

  4. M. Lüscher, P. Weisz: Nucl. Phys. B290 (1987) 25; M. Lüscher, P. Weisz: Nucl. Phys. B295 (1988) 65

    Google Scholar 

  5. G. Mack, S. Meyer: DESY 89-009 (1989); Nucl. Phys. B (Proc. Suppl.) 17 (1990) 293

  6. S. Coleman, E. Weinberg: Phys. Rev. D7 (1973) 1888

    Google Scholar 

  7. G. Palma: DESY 90-083, 1990

  8. J. Iliopoulos, C. Itzykson, A. Martin: Rev. Mod. Phys. 47 (1) (1985) 165

    Google Scholar 

  9. Y. Shen, J. Kuti, L. Lin, S. Meyer: San Diego UCSDIPTH 88-06 (1988)

  10. Y. Fujimoto, L. O'Raifeartaigh, G. Parravicini: Nucl. Phys. B212 (1983) 268

    Google Scholar 

  11. I. Montvay, P. Weisz: DESY 87-056 (1987); K. Jansen et al.: DESY 88-169 (1988)

  12. H. Neuberger: Phys. Rev. Lett. 60 (1988) 889

    Google Scholar 

  13. L. Lin, J. Kuti, Y. Shen: San Diego UCSDIPTH 88-13 (1988)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Address after July 1, 1992: Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile

Rights and permissions

Reprints and permissions

About this article

Cite this article

Palma, G. Renormalized loop expansion to compute finite size effects of the constraint effective potential. Z. Phys. C - Particles and Fields 54, 679–682 (1992). https://doi.org/10.1007/BF01559498

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01559498

Keywords

Navigation