Skip to main content
Log in

Properties of gluons in color superconductors

  • Published:
Acta Physica Hungarica Series A, Heavy Ion Physics

Abstract

I give an introduction to color superconductivity in cold, dense quark matter. I focus in particular on how the solution to the gap equation is qualitatively different in ordinary BCS theory with local four-fermion interactions, in theories with non-local, but screened boson exchange, and in QCD, where magnetic gluon exchange is not screened at zero temperature. I argue that a reliable computation of the gap parameter requires knowledge of the gluon self-energy in a color superconductor. As a first step to determine the gluon self-energy, I report calculations of the Debye and Meissner masses in two- and three-flavor color superconductors.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.R. Schrieffer, Theory of Superconductivity, New York, W.A. Benjamin, 1946; A.L. Fetter and J.D. Walecka, Quantum Theory of Many-Particle Systems, McGraw-Hill, New York, 1971; A.A. Abrikosov, L.P. Gorkov and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, Dover, New York, 1963.

    Google Scholar 

  2. R.D. Pisarski and D.H. Rischke, Phys. Rev. D 60 (1999) 094013.

    Article  ADS  Google Scholar 

  3. B.C. Barriois, PhD Thesis, report UMI 79-04847 (1979).

  4. B.C. Barrois, Nucl. Phys. B129 (1977) 390; S.C. Frautschi, CALT-68-701 (1978), Proc. of the Workshop on Hadronic Matter at Extreme Energy Density, Erice, Italy, October 13–21, 1978.

    Article  ADS  Google Scholar 

  5. D. Bailin and A. Love, Phys. Rep. 107 (1984) 325.

    Article  ADS  Google Scholar 

  6. M. Alford, K. Rajagopal and F. Wilczek, Phys. Lett. B422 (1998) 247; Nucl. Phys. A638 (1998) 515c.

    Google Scholar 

  7. M. Alford, K. Rajagopal and F. Wilczek, Nucl. Phys. B537 (1999) 443.

    Article  ADS  Google Scholar 

  8. K. Rajagopal, Prog. Theor. Phys. Suppl. 131 (1998) 619; Nucl. Phys. A642 (1998) 26; A661 (1999) 150; hep-ph/0009058; J. Berges and K. Rajagopal, Nucl. Phys. B538 (1999) 215; M. Alford, J. Berges and K. Rajagopal, Nucl. Phys. B558 (1999) 219; Phys. Rev. Lett. 84 (2000) 598; Nucl. Phys. B571 (2000) 269; M. Alford, Nucl. Phys. Proc. Suppl. 73 (1999) 161; 83 (2000) 345; hep-ph/0003185; K. Rajagopal and E. Shuster, Phys. Rev. D 62 (2000) 085007; M. Alford, J. Bowers and K. Rajagopa, hep-ph/0008208; hep-ph/0009357.

    Article  ADS  Google Scholar 

  9. R. Rapp, T. Schäfer, E.V. Shuryak and M. Velkóvsky, Phys. Rev. Lett. 81 (1998) 53; Ann. Phys. 280 (2000) 35.

    Article  ADS  Google Scholar 

  10. T. Schäfer, Nucl. Phys. A638 (1998) 551c; A642 (1998) 45; T. Schäfer and F. Wilczek, Phys. Lett. B450 (1999) 325; T. Schäfer and F. Wilczek, Phys. Rev. Lett. 82 (1999) 3956; Phys. Rev. D 60 (1990) 074014.

    Article  Google Scholar 

  11. T. Schäfer and F. Wilczek, Phys. Rev. D 60 (1999) 114033; T. Schäfer, Nucl. Phys. A661 (1999) 621; nucl-th/9911017; Phys. Rev. D. 62 (2000) 094007; nucl-th/0007021; nucl-th/0010049.

    Article  ADS  Google Scholar 

  12. T. Schäfer, Nucl. Phys. B575 (2000) 269.

    Article  ADS  Google Scholar 

  13. N. Evans, S.D.H. Hsu and M. Schwetz, Nucl. Phys. B551 (1999) 275; Phys. Lett. B449 (1999) 281; S.D.H. Hsu and M. Schwetz, Nucl. Phys. B572 (2000) 211; N. Evans, J. Hormuzdiar, S.D.H. Hsu and M. Schwetz, Nucl. Phys. B581 (2000) 391; S.D.H. Hsu, hep-ph/0003140; S.D.H. Hsu, F. Sannino and M. Schwetz, hep-ph/0006059.

    Article  ADS  Google Scholar 

  14. R.D. Pisarski and D.H. Rischke, Phys. Rev. Lett. 83 (1999) 37.

    Article  ADS  Google Scholar 

  15. R.D. Pisarski and D.H. Rischke, Phys. Rev. D 61 (2000) 051501, 074017.

    Article  ADS  Google Scholar 

  16. R.D. Pisarski and D.H. Rischke, nucl-th/9906050.

  17. R.D. Pisarski and D.H. Rischke, nucl-th/9907094; D.H. Rischke and R.D. Pisarski, nucl-th/0004016.

  18. R.D. Pisarski, Phys. Rev. C 62 (2000) 035202.

    Article  ADS  Google Scholar 

  19. D.H. Rischke, Phys. Rev. D 62 (2000) 034007, 054017.

    Article  ADS  Google Scholar 

  20. D.H. Rischke, in preparation.

  21. G.W. Carter and D. Diakonov, Nucl. Phys. A642 (1998) 78; Phys. Rev. D 60 (1999) 016004; hep-ph/9905465; Nucl. Phys. A661 (1999) 625; Nucl. Phys. B582 (2000) 571.

    Article  Google Scholar 

  22. G.W. Carter and S. Reddy, Phys. Rev. D 62 (2000) 103002.

    Article  ADS  Google Scholar 

  23. D.K. Hong, Phys. Lett. B473 (2000) 118.

    Google Scholar 

  24. D.K. Hong, Nucl. Phys. B582 (2000) 451; hep-ph/0003215; Phys. Rev. D 62 (2000) 091501; D.K. Hong, T. Lee and D.-P. Min, Phys. Lett. B477 (2000) 137; D.K. Hong, H.K. Lee, M.A. Nowak and M. Rho, hep-ph/0010156.

    Article  ADS  Google Scholar 

  25. V.A. Miransky, I.A. Shovkovy and L.C.R. Wijewardhana, Phys. Lett. B468 (1999) 270; hep-ph/0003327; Phys. Rev. D 62 (2000) 085025; hep-ph/0009173; I.A. Shovkovy and L.C.R. Wijewardhana, Phys. Lett. B470 (1999) 189; D.K. Hong, V.A. Miransky, I.A. Shovkovy and L.C.R. Wijewardhana, Phys. Rev. D 61 (2000) 056001; 62 (2000) 059903; I.A. Shovkovy, nucl-th/0010021.

    Google Scholar 

  26. D.T. Son, Phys. Rev. D 59 (1999) 094019.

    Article  ADS  MathSciNet  Google Scholar 

  27. E. Shuster and D.T. Son, Nucl. Phys. B573 (2000) 434.

    Article  ADS  Google Scholar 

  28. D.T. Son and M.A. Stephanov, Phys. Rev. D 61 (2000) 074012; 62 (2000) 059902.

    Article  ADS  Google Scholar 

  29. W.E. Brown, J.T. Liu and H.-C. Ren, Phys. Rev. D 61 (2000) 114012; 62 (2000) 054013, 054016.

    Article  ADS  Google Scholar 

  30. D.K. Hong, M. Rho and I. Zahed, Phys. Lett. B468 (1999) 261; B.-Y. Park, M. Rho, A. Wirzba and I. Zahed, Phys. Rev. D 62 (2000) 034015; M. Rho, A. Wirzba and I. Zahed, Phys. Lett. B473 (2000) 126; M. Rho, E. Shuryak. A. Wirzba and I. Zahed, Nucl. Phys. A676 (2000) 273; M.A. Nowak, M. Rho, A. Wirzba and I. Zahed, hep-ph/0007034; A. Wirzba, nucl-th/0009002.

    Google Scholar 

  31. R. Casalbuoni and R. Gatto, Phys. Lett. B464 (1999) 111; B469 (1999) 213; hep-ph/9911223; R. Casalbuoni, Z. Duan and F. Sannino, Phys. Rev. D 62 (2000) 094004; R. Casalbuoni, R. Gatto and G. Nardulli, hep-ph/0010321; C. Manuel and M.H.G. Tytgat, Phys. Lett. B479 (2000) 190; hep-ph/0010274; C. Manuel, Phys. Rev. D 62 (2000) 114008; hep-ph/0009182.

    Google Scholar 

  32. P.F. Bedaque, hep-ph/9910247; S.R. Beane, P.F. Bedaque and M.J. Savage. Phys. Lett. B483 (2000), 131;nucl-th/0004013; S.R. Beane, P.F. Bedaque, nucl-th/0005052.

  33. K. Langfeld and M. Rho, Nucl. Phys. A660 (1999) 475; J.C. Bloch, C.D. Roberts and S.M. Schmidt, Phys. Rev. C 60 (1999) 065208; E.V. Gorbar, Phys. Rev. D 62 (2000) 014007; K. Zarembo, Phys. Rev. D 62 (2000) 054003; F. Sannino, Phys. Lett. B480 (2000) 280; B. Vanderheyden and A.D. Jackson, Phys. Rev. D 61 (2000) 076004; 62 (2000) 094010; S. Chandrasekharan and U.-J. Wiese, hep-ph/0003214.

    Article  Google Scholar 

  34. M. Le Bellac, Thermal Field Theory, Cambridge, Cambridge University Press, 1996.

    Google Scholar 

  35. D. Boyanovsky and H.J. de Vega, hep-ph/0009172.

  36. Particle Data Group, Eur. Phys. J. C3 (1998 1.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rischke, D.H. Properties of gluons in color superconductors. APH N.S., Heavy Ion Physics 14, 329–340 (2001). https://doi.org/10.1556/APH.14.2001.1-4.31

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1556/APH.14.2001.1-4.31

Keywords

PACS

Navigation