Skip to main content

Part of the book series: NATO Science Series ((ASIC,volume 562))

  • 233 Accesses

Abstract

There are many familiar situations when the properties of some substance change abruptly with temperature T. For example, a liquid may be converted into a vapor or into a solid state. Phase transitions are associated with non-analyticities of the partition function of the system.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.A. Kirzhnitz, JETP Lett. 15 (1972) 529

    ADS  Google Scholar 

  2. D.A. Kirzhnitz and A.D. Linde, Phys. Lett. 72B (1972) 471

    ADS  Google Scholar 

  3. A.H. Guth and E.J. Weinberg, Phys. Rev. D23 (1981) 876

    ADS  Google Scholar 

  4. A.M. Polyakov, Phys. Lett. 72B (1978) 477

    MathSciNet  ADS  Google Scholar 

  5. B. Svetitsky and L. Yaffe, Nucl. Phys. B210 (1982) 423

    Article  ADS  Google Scholar 

  6. F. Karsch, hep-lat/9909006, 1999

    Google Scholar 

  7. K. Rajagopal and F. Wilczek, Nucl. Phys. B399 (1993) 395

    Article  ADS  Google Scholar 

  8. Y. Iwasaki, K. Kanaya, L. Karkkainen, K. Rummukainen and T. Yoshie, Phys. Rev. D49 (1994) 3540

    ADS  Google Scholar 

  9. B. Beinlich, F. Karsch and A. Peikert, Phys. Lett. B390 (1997) 268

    ADS  Google Scholar 

  10. K. Kainulainen, H. Kurki-Suonio and E. Sihvola, Phys. Rev. D59 (1999) 083505

    ADS  Google Scholar 

  11. E. Witten, Phys. Rev. D30 (1984) 272

    MathSciNet  ADS  Google Scholar 

  12. C. Schmid, D. J. Schwarz and P. Widerin, Phys. Rev. Lett. 78 (1997) 791

    Article  ADS  Google Scholar 

  13. K. Jedamzik, Phys. Rev. D55 (1997) 5871

    ADS  Google Scholar 

  14. C. Schmid, D. J. Schwarz and P. Widerin, Phys. Rev. D59 (1999) 043517

    ADS  Google Scholar 

  15. E. Fradkin and S. Shenker, Phys. Rev. D19 (1079) 3682

    Google Scholar 

  16. T. Banks and E. Rabinovici, Nucl. Phys. B160 (1979) 349

    Article  ADS  Google Scholar 

  17. M.E. Shaposhnikov, Contemp. Phys. 39 (1998) 177

    Article  ADS  Google Scholar 

  18. K. Kajantie, M. Laine, K. Rummukainen, and M. Shaposhnikov. Nucl. Phys. B458 (1996) 90; Nucl. Phys. B466 (1996) 189; Phys. Rev. Lett. 77 (1996) 2887

    Article  ADS  Google Scholar 

  19. V.A. Rubakov and M.E. Shaposhnikov. Phys. Usp. 39 (1996) 461 (Usp. Fiz. Nauk 166 (1996) 493).

    Article  ADS  Google Scholar 

  20. M. E. Shaposhnikov, hep-ph/9610247

    Google Scholar 

  21. K. Rummukainen, M. Tsypin, K. Kajantie, M. Laine and M. Shaposhnikov, Nucl. Phys. B532 (1998) 283

    Article  ADS  Google Scholar 

  22. The LEP working group for Higgs boson searches, OPAL TN-614 (1999) (Tampere 6-49)

    Google Scholar 

  23. W. Buchmüller, Lectures at this School

    Google Scholar 

  24. A.G. Cohen, D.B. Kaplan, and A.E. Nelson. Annu. Rev. Nucl. Part. Sci. 43 (1993) 27

    Article  ADS  Google Scholar 

  25. A. Riotto and M. Trodden, hep-ph/9901362

    Google Scholar 

  26. L. Kofman, A. Linde and A. A. Starobinsky, Phys. Rev. Lett. 76 (1996) 1011

    Article  ADS  Google Scholar 

  27. I. I. Tkachev, Phys. Lett. B376 (1996) 35

    ADS  Google Scholar 

  28. S. Y. Khlebnikov and I. I. Tkachev, Phys. Rev. Lett. 77 (1996) 219

    Article  ADS  Google Scholar 

  29. L. Kofman, A. Linde and A. A. Starobinsky, Phys. Rev. D56 (1997) 3258

    ADS  Google Scholar 

  30. I. Tkachev, S. Khlebnikov, L. Korman and A. Linde, Phys. Lett. B440 (1998) 262

    ADS  Google Scholar 

  31. S. Khlebnikov, L. Kofman, A. Linde and I. Tkachev, Phys. Rev. Lett. 81 (1998) 2012

    Article  ADS  Google Scholar 

  32. D. Boyanovsky, H. J. de Vega and R. Holman, hep-ph/9903534

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Shaposhnikov, M. (2001). Phase Transitions in the Early Universe. In: Sánchez, N.G. (eds) Current Topics in Astrofundamental Physics: The Cosmic Microwave Background. NATO Science Series, vol 562. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0748-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0748-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6856-4

  • Online ISBN: 978-94-010-0748-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics