Advertisement

Constructive Theory of Critical Phenomena

  • Antti Kupiainen
  • K. Gawedzki
Part of the NATO ASI Series book series (NSSB, volume 115)

Abstract

The purpose of these lectures is to introduce some nonperturbative renormalization group (RG) methods for the study of certain problems of statistical mechanics and quantum field theory. Our aim is a nonperturbative construction of asymtotically free quantum field theories and non-gaussian critical points.

Keywords

Renormalization Group Critical Phenomenon Large Field Constructive Theory Euclidean Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Aragao de Carvalho, C., Caracciolo, S., Fröchlich, J.: Nucl.Phys. B215, 209 (1983)ADSCrossRefGoogle Scholar
  2. 2.
    Brezin, E., Zinn-Justin, J.: Phys.Rev. B14, 3110 (1976)ADSGoogle Scholar
  3. 3.
    Domb, C., Green, M.S, Phase Transitions and Critical Phenomena Vol.3, Academic Press, London 1974Google Scholar
  4. 4.
    Fröchlich, J., Spencer, T.: J. Stat.Phys. 24, 617 (1981)ADSCrossRefGoogle Scholar
  5. 5.
    Gawedzki, K., Kupiainen, A.; Commun.Math.Phys. 77, 31 (1980)MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    Gawedzki, K., Kupiainen, A.: J.Stat.Phys. 29, 683 (1983)MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    Gawedzki, K., Kupiainen, A.: Contribution in this volumeGoogle Scholar
  8. 8.
    Gawedzki, K., Kupiainen, A.:Annals of Phys. 147, 198 (1983)MathSciNetADSCrossRefGoogle Scholar
  9. 9.
    Gawedzki, K., Kupiainen, A., Tirozzi, B.:J.Stat.Phys., to appearGoogle Scholar
  10. 10.
    Kadanoff, L.P.:Physics 2, 263 (1965)Google Scholar
  11. 11.
    Magnen, J., Seneor, R.:Annals of Physics, to appearGoogle Scholar
  12. 12.
    Polyakov, A.:Phys.Lett. 59B, 79 (1975)Google Scholar
  13. 13.
    Wilson, K., Kogut, J.:Phys.Rep. 12, 75(1974)ADSCrossRefGoogle Scholar
  14. 14.
    Ma, S.:Phys.Lett.43A, 475 (1973)Google Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • Antti Kupiainen
    • 1
  • K. Gawedzki
    • 2
    • 3
  1. 1.Department of Technical PhysicsHelsinki University of TechnologyEspoo 15Finland
  2. 2.CNRS, IHESBures-sur-YvetteFrance
  3. 3.Department of Mathematical Methods of PhysicsWarsaw UniversityPoland

Personalised recommendations