Skip to main content
SpringerLink
Log in

What can we learn from the finite temperature renormalization group?

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

The renormalization group for finite temperature quantum field theories is studied, in particular for λϕ4. It is shown that the “high” temperature limit can only be discussed perturbatively ifT dependent renormalization schemes are implemented. Zero temperature renormalization schemes or renormalization at some fixed reference temperatureT o are both inadequate as they imply perturbative expansions about fixed points of the renormalization group which are associated with a zero temperature system and a system at temperatureT o respectively.T dependent schemes give rise to an expansion about the true fixed point of the system, the resulting renormalization group allows the entire crossover between high and low temperature behaviour to be investigated.

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. L. Dolan, R. Jackiw: Phys. Rev. D9 (1974) 3320

    Google Scholar 

  2. H. Matsumoto, Y. Nakano, H. Umezawa: Phys. Rev. D29 (1984) 1116

    Google Scholar 

  3. N.P. Landsman: Nucl. Phys. B322 (1989) 498

    Google Scholar 

  4. Y. Fujimoto, K. Ideura, Y. Nakano, H. Yoneyama: Phys. Lett. B167 (1986) 406

    Google Scholar 

  5. K. Funakobo, M. Sakamoto: Phys. Lett. B186 (1987) 205

    Google Scholar 

  6. Y. Fujimoto, H. Yamada: Phys. Lett. B200 (1988) 167

    Google Scholar 

  7. P. Elmfors: Nordita preprint NORDITA-92/63

  8. D.J. Amit.: Field theory, the renormalization group, and critical phenomena. Singapore: World Scientific 1984

    Google Scholar 

  9. Denjoe O'Connor, C.R. Stephens: Nucl. Phys. B360 (1991) 297

    Google Scholar 

  10. Denjoe O'Connor, C.R. Stephens, F. Freire: Dimensional Reduction and the Non-triviality of λϕ4 in Four Dimensions at High Temperature, (Imperial/DIAS/Utrecht preprint)

  11. J. Kapusta: Finite temperature field theory. CUP (1989); P. Fendley: Phys. Lett. B196 (1987) 175

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Imperial College, SW7 2BZ, London, UK

    F. Freire

  2. Inst. voor Theor. Fys., Rijksuniversiteit Utrecht, 3508 TA, Utrecht, The Netherlands

    C. R. Stephens

Authors
  1. F. Freire
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. R. Stephens
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Freire, F., Stephens, C.R. What can we learn from the finite temperature renormalization group?. Z. Phys. C - Particles and Fields 60, 127–133 (1993). https://doi.org/10.1007/BF01650438

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01650438

Keywords

Search

Navigation