Skip to main content
SpringerLink
Log in

Critical exponents from stochastic continuum regularization

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

A new method for computing critical exponents based on renormalised Quantum Field Theory is presented. It arises from a new regularization procedure based on Stochastic Quantization. A version of this procedure, containing a dimensionless parameter ρ, allows an expansion analogous to the ε-expansion. Results to leading order are presented, showing at least the same accuracy as other methods to this order.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Zinn-Justin: In: Phase transitions. M. Levy, J.C. Le Guillou, J. Zinn-Justin (eds.). New York: Plenum 1982; J. Adler, M. Moshe, V. Privman: Phys. Rev. B26 (1982) 3958; J. Adler: J. Phys. A16 (1983) 3585; G.S. Pawley, R.H. Swendsen, D.J. Wallace, K.G. Wilson: Phys. Rev. B29 (1984) 4030

    Google Scholar 

  2. K.G. Wilson: Phys. Rev. Lett. 28 (1972) 548; W. Brezin, J.C. Le Guillou, J. Zinn-Justin: Phys. Rev. D8 (1973) 434; Field theoretical approach to critical phenomena. C. Domb, M.S. Green (eds.). New York: Academic Press 1976

    Google Scholar 

  3. K.G. Wilson, M.E. Fisher: Phys. Rev. Lett. 28 (1972) 240; K.G. Wilson, J. Kogut: Phys. Rep. 12 (1974) 75

    Google Scholar 

  4. J. Alfaro, R. Jengo, N. Parga: Phys. Rev. Lett. 54 (1985) 369

    Google Scholar 

  5. J.D. Breit, S. Gupta, A. Zaks: Nucl. Phys. B233 (1982) 61

    Google Scholar 

  6. J. Alfaro: Nucl. Phys. B253 (1985) 464

    Google Scholar 

  7. G. Parisi, Y. Wu: Sci. Sin. 24 (1981) 483

    Google Scholar 

  8. Z. Bern, M.B. Halpern, L. Sadun, C. Taubes: Phys. Lett. B165 (1985) 151; Nucl. Phys. B284 (1987) 1; Nucl. Phys. B284 (1987) 35; Z. Bern, M.B. Halpern, L. Sadun: Nucl. Phys. B284 (1987) 92; Z. Phys. C — Particles and Fields 35 (1987) 255

    Google Scholar 

  9. Z. Bern, M.B. Halpern: Phys. Rev. D33 (1986) 1184

    Google Scholar 

  10. A. González-Arroyo, C.P. Martin: NUCL. Phys. B (to appear)

  11. W. Grimus, H. Hüffel: Z. Phys. C — Particles and Fields 18 (1983) 129; A. Gonzélez-Arroyo: Stochastic Quantization; regularization and renormalization. Proceedings, Sitges, Spain 1984, p. 216 and references therein. Heidelberg, Berlin: Springer 1985

    Google Scholar 

  12. J. Alfaro: LPTENS preprint 84/8

  13. S. Weinberg: Phys. Rev. 118 (1960) 838; Y. Hahn and W. Zimmerman: Commun. Math. Phys. 10 (1968) 330

    Google Scholar 

  14. W.E. Caswell, A.D. Kennedy: Phys. Rev. D25 (1982) 392; J.C. Collins: Renormalization. Cambridge: Cambridge University Press 1984

    Google Scholar 

  15. A. Muñoz Sudupe, R.F. Alvarez-Estrada: J. Phys. A16 (1983) 3049; E. Gozzi: Phys. Rev. D28 (1983) 1922

    Google Scholar 

  16. J. Zinn-Justin: Nucl. Phys. B275 [FS] (1986) 135

    Google Scholar 

  17. R. Jengo, S. Pugnetti: ISAS preprint 19/86/EP

Download references

Author information

Authors and Affiliations

  1. Departamento de Física Teórica, C-XI, Universidad Autónoma de Madrid, Cantoblanco, E-28049, Madrid, Spain

    A. González-Arroyo & C. P. Martin

Authors
  1. A. González-Arroyo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. P. Martin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work partially supported by CAICYT

Rights and permissions

Reprints and permissions

About this article

Cite this article

González-Arroyo, A., Martin, C.P. Critical exponents from stochastic continuum regularization. Z. Phys. C - Particles and Fields 40, 287–292 (1988). https://doi.org/10.1007/BF01555891

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01555891

Keywords

Search

Navigation