Skip to main content
  • 109 Accesses

Abstract

The gap equation is a cornerstone in understanding dynamical chiral symmetry breaking and may also provide clues to confinement. A symmetry-preserving truncation of its kernel enables proofs of important results and the development of an efficacious phenomenology. We describe a model of the kernel that yields: a momentum-dependent dressed-quark propagator in fair agreement with quenched lattice-QCD results; and chiral limit values, f 0π = 68 MeV and \(\left\langle {\bar qq} \right\rangle = - {(190MeV)^3}\) . It is compared with models inferred from studies of the gauge sector.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. C.D. Roberts, S.M. Schmidt, Prog. Part. Nucl. Phys. 45, Si (2000); R. Alkofer, L. v. Smekal, Phys. Rep. 353, 281 (2001).

    Article  Google Scholar 

  2. P. Maris, C.D. Roberts, Phys. Rev. C 56, 3369 (1997).

    Google Scholar 

  3. P. Maris, P.C. Tandy, Phys. Rev. C 60, 055214 (1999).

    Google Scholar 

  4. P. Bicudo, et al.,Phys. Rev. D 65076008 (2002); D. Jarecke, P. Maris, P.C. Tandy, Strong decays of light vector mesons,nucl-th/0208019.

    Google Scholar 

  5. P. Maris, P.C. Tandy, Phys. Rev. C 62, 055204 (2000); C.R. Ji, P. Maris, Phys. Rev. D 64, 014032 (2001); P. Maris, P.C. Tandy, Phys. Rev. C 65, 045211 (2002).

    Google Scholar 

  6. P. Maris, C.D. Roberts, P.C. Tandy, Phys. Lett. B 420, 267 (1998).

    Article  ADS  Google Scholar 

  7. F.T. Hawes, P. Maris, C.D. Roberts, Phys. Lett. B 440, 353 (1998).

    Article  ADS  Google Scholar 

  8. C.D. Roberts, Continuum strong QCD: Confinement and dynamical chiral symmetry breaking,nucl-th/0007054.

    Google Scholar 

  9. A Bender, C.D. Roberts, L. v. Smekal, Phys. L.tt. B 380, 7 (1996).

    Article  Google Scholar 

  10. C.D. Roberts, Nucl. Phys. Proc. Suppl. 108, 227 (2002).

    Google Scholar 

  11. A. Bender, W. Detmold, A.W. Thomas, C.D. Roberts, Phys. Rev. C 65, 065203 (2002).

    Google Scholar 

  12. H.J. Munczek, A.M. Nemirovsky, Phys. Rev. D 28, 181 (1983).

    Google Scholar 

  13. D.B. Leinweber, Ann. Phys. (N.Y.) 254, 328 (1997).

    Article  ADS  Google Scholar 

  14. Particle Data Group Collaboration (L. Montanet et al.), Phys. Rev. D 50, 1173 (1994).

    Article  Google Scholar 

  15. Particle Data Group Collaboration (D.E. Groom et al.), Eur. Phys. J. C 15, 1 (2000).

    Google Scholar 

  16. C.D. Roberts, A.G. Williams, Prog. Part. Nucl. Phys. 33, 477 (1994).

    Google Scholar 

  17. K. Johnson, M. Baker, R. Willey, Phys. Rev. 136, B1111 (1964).

    Google Scholar 

  18. P.O. Bowman, U.M. Heller, A.G. Williams, Phys. Rev. D 66, 014505 (2002).

    Google Scholar 

  19. R. Alkofer, C.S. Fischer, L. v. Smekal, Acta Phys. Slov. 52,191 (2002) and references therein.

    Google Scholar 

  20. F.D. Bonnet, et al.,Phys. Rev. D 64034501 (2001).

    Google Scholar 

  21. These results are in agreement with M. Bhagwat, M.A. Pichowsky, P.C. Tandy, private communication.

    Google Scholar 

  22. D.C. Curtis, M.R. Pennington, Phys. Rev. D 42, 4165 (1990).

    Google Scholar 

  23. J.C.R. Bloch, Multiplicative renormalizability and quark propagator,hep-ph/0202073.

    Google Scholar 

  24. C.J. Burden, C.D. Roberts, Phys. Rev. D 47, 5581 (1993).

    Article  ADS  Google Scholar 

  25. P.O. Bowman, U.M. Heller, A.G. Williams, Nucl. Phys. Proc. Suppl. 109 163 (2002); P.O. Bowman, U.M. Heller, D.B. Leinweber, A.G. Williams, Gluon propagator on coarse lattices in Laplacian gauges,hep-lat/0206010.

    Google Scholar 

  26. G. Krein, C.D. Roberts, A.G. Williams, Int. J. Mod. Phys. A 7, 5607 (1992).

    Article  ADS  Google Scholar 

  27. P. Maris, Phys. Rev. D 52, 6087 (1995).

    Google Scholar 

  28. R. Alkofer, L. v. Smekal, Nucl. Phys. A 680, 133 (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Maris, P., Raya, A., Roberts, C.D., Schmidt, S.M. (2003). Facets of confinement and dynamical chiral symmetry breaking. In: Elster, C., Speth, J., Walcher, T. (eds) Refereed and selected contributions from International Conference on Quark Nuclear Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09712-0_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-09712-0_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05843-1

  • Online ISBN: 978-3-662-09712-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics