Skip to main content

Part of the book series: Springer Theses ((Springer Theses))

  • 542 Accesses

Abstract

As was discussed in the previous chapter, renormalization group serves as a very powerfull tool in the study of strong interactions and fluctutations, which occur near continuous phase transitions.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. J.B. Kogut, An introduction to lattice gauge theory and spin systems. Rev. Mod. Phys. 51, 4 (1979)

    Google Scholar 

  2. J.M. Kosterlitz, D.J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems. J. Phys. C: Solid State Phys. 6, 1181 (1973)

    Article  ADS  Google Scholar 

  3. P. Minnhagen, The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films. Rev. Mod. Phys. 59, 1001–1066 (1987)

    Article  ADS  Google Scholar 

  4. S.T. Chui, J.D. Weeks, Phase transition in the two-dimensional Coulomb gas, and the interfacial roughening transition. Phys. Rev. B 14, 4978 (1976)

    Article  ADS  Google Scholar 

  5. D.J. Bishop, J.D. Reppy, Study of the superfluid transition in two-dimensional 4He films. Phys. Rev. Lett. 40, 1727 (1978)

    Article  ADS  Google Scholar 

  6. P. Debye, E. Hückel, Phys. Z. Sowjetunion 24, 185 (1923)

    Google Scholar 

  7. J.P. Verboncoeur, Particle simulation of plasmas: review and advances. Plasma Phys. Controlled Fusion 47, A231 (2005)

    Article  ADS  Google Scholar 

  8. J. Fröhlich, Y.M. Park, Correlation inequalities and the thermodynamic limit for classical and quantum continuous systems. Comm. Math. Phys. 59, 235–266, (1978)

    Google Scholar 

  9. J. Fröhlich, T. Spencer, The Kosterlitz-Thouless transition in two-dimensional abelian spin systems and the Coulomb gas. Comm. Math. Phys. 81, 527–602, (1981)

    Google Scholar 

  10. W.S. Yang, Debye screening for two-dimensional Coulomb systems at high temperatures. J. Stat. Phys. 49, 1–32 (1987)

    Article  ADS  MATH  Google Scholar 

  11. F. Nicolò, P. Perfetti, The sine-Gordon field theory model at \(\alpha ^{2}=8\pi \), the nonsuperrenormalizable theory. Comm. Math. Phys. 123, 425–452, (1989)

    Google Scholar 

  12. D.J. Amit, Y.Y. Goldschmidt, G. Grinstein, Renormalisation group analysis of the phase transition in 2D Coulomb gas, sine-Gordon theory and X–Y model. J. Phys. A: Math. Gen. 13 (1980)

    Google Scholar 

  13. J.M. Kosterlitz, The d-dimensional Coulomb gas and the roughening transition. J. Phys. C: Solid State Phys. 10, 3753 (1977)

    Article  ADS  Google Scholar 

  14. F.J. Wegner, A. Houghton, Renormalization group equation for critical phenomena. Phys. Rev. A 8, 401 (1973)

    Article  ADS  Google Scholar 

  15. I. Nándori, U.D. Jentschura, K. Sailer, G. Soff, Renormalization-group analysis of the generalized sine-Gordon model and of the Coulomb gas for d>\({\sim }\)3 dimensions. Phys. Rev. D 69, (2003)

    Google Scholar 

  16. A.L. Kholodelenko, A.L. Beyerlein, Theory of symmetric electrolyte solutions: field-theoretic approach. Phys. Rev. A 34, 3309 (1986)

    Article  ADS  Google Scholar 

  17. T.S. Chang, D.D. Vvedensky, J.F. Nicoll, Differential renormalization-group generators for static and dynamic critical phenomena. Phys. Rep. 217, 279 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  18. S.F. Edwards, The statistical thermodynamics of a gas with long and short-range forces. Phil. Mag. 46, 1171 (1959)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Evgeny Barkhudarov .

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Barkhudarov, E. (2014). \(d\)-Dimensional Coulomb Gas. In: Renormalization Group Analysis of Equilibrium and Non-equilibrium Charged Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-06154-2_2

Download citation

Publish with us

Policies and ethics