Advertisement

The European Physical Journal C

, Volume 51, Issue 4, pp 875–881 | Cite as

Flavor symmetry breaking and scaling for improved staggered actions in quenched QCD

  • M. ChengEmail author
  • N. Christ
  • C. Jung
  • F. Karsch
  • R. Mawhinney
  • P. Petreczky
  • K. Petrov
Regular Article - Theoretical Physics

Abstract

We present a study of the flavor symmetry breaking in the pion spectrum for the p4-improved fermion action. Three different variants of the p4 action – p4fat3, p4fat7, and p4fat7tad – are compared to the Asqtad and naive staggered actions. To study the pattern of symmetry breaking, we measure all 15 pion masses in the four-flavor staggered theory. The measurements are done on a quenched gauge background, generated using a one-loop improved Symanzik action with β=10/g2=7.40, 7.75, and 8.00, corresponding to lattice spacings of approximately a= 0.31 fm, 0.21 fm, and 0.14 fm.

Keywords

Stagger Action Chiral Limit Quark Propagator Flavor Symmetry Meson State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    U.M. Heller, F. Karsch, B. Sturm, Phys. Rev. D 60, 114502 (1999) [hep-lat/9901010]ADSCrossRefGoogle Scholar
  2. 2.
    T. Blum et al., Phys. Rev. D 55, 1133 (1997) [hep-lat/9609036]ADSCrossRefGoogle Scholar
  3. 3.
    J.F. Lagae, D.K. Sinclair, Phys. Rev. D 59, 014511 (1999) [hep-lat/9806014]ADSCrossRefGoogle Scholar
  4. 4.
    MILC, K. Orginos, D. Toussaint, R.L. Sugar, Phys. Rev. D 60, 054503 (1999) [hep-lat/9903032]ADSCrossRefGoogle Scholar
  5. 5.
    A. Hasenfratz, F. Knechtli, Phys. Rev. D 64, 034504 (2001) [hep-lat/0103029]ADSCrossRefGoogle Scholar
  6. 6.
    HPQCD, E. Follana et al., hep-lat/0610092 (2006)Google Scholar
  7. 7.
    T. Bae, J. Kim, W. Lee, S.R. Sharpe, hep-lat/0610056 (2006)Google Scholar
  8. 8.
    A. Hasenfratz, F. Knechtli, hep-lat/0105022 (2001)Google Scholar
  9. 9.
    P. Petreczky, J. Phys. G 30, S1259 (2004)ADSCrossRefGoogle Scholar
  10. 10.
    Y. Aoki, G. Endrodi, Z. Fodor, S.D. Katz, K.K. Szabo, Nature 443, 675 (2006) [hep-lat/0611014]ADSCrossRefGoogle Scholar
  11. 11.
    Y. Aoki, Z. Fodor, S.D. Katz, K.K. Szabo, Phys. Lett. B 643, 46 (2006) [hep-lat/0609068]ADSCrossRefGoogle Scholar
  12. 12.
    Y. Aoki, Z. Fodor, S.D. Katz, K.K. Szabo, JHEP 01, 089 (2006) [hep-lat/0510084]ADSCrossRefGoogle Scholar
  13. 13.
    MILC, C. Bernard et al., Phys. Rev. D 71, 034504 (2005) [hep-lat/0405029]ADSCrossRefGoogle Scholar
  14. 14.
    C. Bernard et al., hep-lat/0611031 (2006)Google Scholar
  15. 15.
    F. Karsch, E. Laermann, A. Peikert, Nucl. Phys. B 605, 579 (2001) [hep-lat/0012023]ADSCrossRefGoogle Scholar
  16. 16.
    F. Karsch, E. Laermann, A. Peikert, Phys. Lett. B 478, 447 (2000) [hep-lat/0002003]ADSCrossRefGoogle Scholar
  17. 17.
    M. Cheng et al., Phys. Rev. D 75, 034506 (2007) [hep-lat/0612001]ADSCrossRefGoogle Scholar
  18. 18.
    M. Cheng et al., Phys. Rev. D 74, 054507 (2006) [hep-lat/0608013]ADSCrossRefGoogle Scholar
  19. 19.
    C. Aubin et al., Phys. Rev. D 70, 094505 (2004) [hep-lat/0402030]ADSCrossRefGoogle Scholar
  20. 20.
    M.F.L. Golterman, Nucl. Phys. B 273, 663 (1986)ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    S. Naik, Nucl. Phys. B 316, 238 (1989)ADSCrossRefGoogle Scholar
  22. 22.
    G.P. Lepage, Phys. Rev. D 59, 074502 (1999) [hep-lat/9809157]ADSCrossRefGoogle Scholar
  23. 23.
    MILC, C.W. Bernard et al., Phys. Rev. D 61, 111502 (2000) [hep-lat/9912018]ADSCrossRefGoogle Scholar
  24. 24.
    N. Ishizuka, M. Fukugita, H. Mino, M. Okawa, A. Ukawa, Nucl. Phys. B 411, 875 (1994)ADSCrossRefGoogle Scholar
  25. 25.
    T.A. DeGrand, A. Hasenfratz, T.G. Kovacs, Phys. Rev. D 67, 054501 (2003) [hep-lat/0211006]ADSCrossRefGoogle Scholar
  26. 26.
    W.-J. Lee, S.R. Sharpe, Phys. Rev. D 60, 114503 (1999) [hep-lat/9905023]ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2007

Authors and Affiliations

  • M. Cheng
    • 1
    Email author
  • N. Christ
    • 1
  • C. Jung
    • 2
  • F. Karsch
    • 2
  • R. Mawhinney
    • 1
  • P. Petreczky
    • 2
    • 3
  • K. Petrov
    • 4
  1. 1.Physics DepartmentColumbia UniversityNew YorkUSA
  2. 2.Physics DepartmentBrookhaven National LaboratoryUptonUSA
  3. 3.RIKEN-BNL Research CenterBrookhaven National LaboratoryUptonUSA
  4. 4.Niels Bohr InstituteUniversity of CopenhagenCopenhagenDenmark

Personalised recommendations