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Determination of the chiral condensate from QCD Dirac spectrum on the lattice

H. Fukaya1, S. Aoki2,3, T. W. Chiu4, S. Hashimoto5,6, T. Kaneko5,6, J. Noaki5, T. Onogi1, and N. Yamada5,6 (JLQCD and TWQCD collaborations)

  • 1Department of Physics, Osaka University, Toyonaka 560-0043, Japan
  • 2Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
  • 3Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
  • 4Physics Department and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan
  • 5KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
  • 6School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan

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Phys. Rev. D 83, 074501 – Published 1 April, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.074501

Abstract

We calculate the chiral condensate of QCD with 2, 2+1, and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up- and down-quark masses covering a range between 3 and 100 MeV. On L∼1.8–1.9  fm lattices at a lattice spacing ∼0.11  fm, we calculate the eigenvalue spectrum of the overlap-Dirac operator. By matching the lattice data with the analytical prediction from chiral perturbation theory at the next-to-leading order, the chiral condensate in the massless limit of up and down quarks is determined.

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References (47)

  1. S. Weinberg, Phys. Rev. 166, 1568 (1968).
  2. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).
  3. T. Banks and A. Casher, Nucl. Phys. B169, 103 (1980).
  4. P. H. Damgaard and H. Fukaya, J. High Energy Phys. 01 (2009) 052.
  5. P. H. Damgaard and S. M. Nishigaki, Nucl. Phys. B518, 495 (1998).
  6. T. Wilke, T. Guhr, and T. Wettig, Phys. Rev. D 57, 6486 (1998).
  7. G. Akemann and P. H. Damgaard, Nucl. Phys. B528, 411 (1998).
  8. P. H. Damgaard and S. M. Nishigaki, Phys. Rev. D 63, 045012 (2001).
  9. A. V. Smilga and J. Stern, Phys. Lett. B 318, 531 (1993).
  10. J. C. Osborn, D. Toublan, and J. J. M. Verbaarschot, Nucl. Phys. B540, 317 (1999).
  11. H. Neuberger, Phys. Lett. B 417, 141 (1998);
  12. H. Neuberger, Phys. Lett. B 427, 353 (1998).
  13. P. H. Ginsparg and K. G. Wilson, Phys. Rev. D 25, 2649 (1982).
  14. M. Luscher, Phys. Lett. B 428, 342 (1998).
  15. H. Fukaya et al. (JLQCD and TWQCD Collaborations), Phys. Rev. Lett. 98, 172001 (2007).
  16. H. Fukaya et al. (JLQCD and TWQCD Collaborations), Phys. Rev. D 76, 054503 (2007).
  17. S. Aoki et al. (JLQCD Collaboration), Phys. Rev. D 78, 014508 (2008).
  18. H. Fukaya, S. Aoki, S. Hashimoto, T. Kaneko, J. Noaki, T. Onogi, and N. Yamada (JLQCD collaboration), Phys. Rev. Lett. 104, 122002 (2010); 105, 159901(E) (2010).
  19. H. Fukaya (JLQCD and TWQCD Collaborations), Proc. Sci., LAT2009 (2009) 004 [arXiv:1001.1786].
  20. J. Noaki et al. (JLQCD and TWQCD Collaborations), Proc. Sci., LAT2009 (2009) 096 [arXiv:0910.5532].
  21. H. Fukaya et al. (JLQCD Collaboration), Phys. Rev. D 74, 094505 (2006).
  22. T. DeGrand, Z. Liu, and S. Schaefer, Phys. Rev. D 74, 094504 (2006); 74, 099904(E) (2006).
  23. C. B. Lang, P. Majumdar, and W. Ortner, Phys. Lett. B 649, 225 (2007).
  24. P. Hasenfratz, D. Hierl, V. Maillart, F. Niedermayer, A. Schafer, C. Weiermann, and M. Weingart, J. High Energy Phys. 11 (2009) 100.
  25. T. DeGrand and S. Schaefer, Phys. Rev. D 76, 094509 (2007).
  26. O. Bar, S. Necco, and A. Shindler, J. High Energy Phys. 04 (2010) 053.
  27. K. Jansen and A. Shindler, Proc. Sci., LAT2009 (2009) 070 [arXiv:0911.1931].
  28. A. Hasenfratz, R. Hoffmann, and S. Schaefer, Phys. Rev. D 78, 054511 (2008).
  29. C. Bernard (MILC Collaboration), Phys. Rev. D 65, 054031 (2002).
  30. P. Hasenfratz and H. Leutwyler, Nucl. Phys. B343, 241 (1990).
  31. Y. Iwasaki, Nucl. Phys. B258, 141 (1985).
  32. T. Izubuchi and C. Dawson (RBC Collaboration), Nucl. Phys. B, Proc. Suppl. 106–107, 748 (2002).
  33. P. M. Vranas, Phys. Rev. D 74, 034512 (2006).
  34. P. Hasenfratz, V. Laliena, and F. Niedermayer, Phys. Lett. B 427, 125 (1998).
  35. J. Noaki et al. (JLQCD and TWQCD collaborations) (unpublished).
  36. L. Giusti and M. Luscher, J. High Energy Phys. 03 (2009) 013.
  37. R. Brower, S. Chandrasekharan, J. W. Negele, and U. J. Wiese, Phys. Lett. B 560, 64 (2003).
  38. S. Aoki, H. Fukaya, S. Hashimoto, and T. Onogi, Phys. Rev. D 76, 054508 (2007).
  39. S. Aoki and H. Fukaya, Phys. Rev. D 81, 034022 (2010).
  40. J. Noaki et al. (JLQCD and TWQCD Collaborations), Phys. Rev. Lett. 101, 202004 (2008).
  41. H. Fukaya et al. (JLQCD Collaboration), Phys. Rev. D 77, 074503 (2008).
  42. C. Lehner, S. Hashimoto, and T. Wettig, J. High Energy Phys. 06 (2010) 028.
  43. J. Noaki et al. (JLQCD and TWQCD Collaborations), Phys. Rev. D 81, 034502 (2010).
  44. T. W. Chiu et al. (JLQCD and TWQCD Collaborations), Proc. Sci., LATTICE2008 (2008) 072 [arXiv:0810.0085].
  45. T. W. Chiu, T. H. Hsieh, and P. K. Tseng (TWQCD Collaboration), Phys. Lett. B 671, 135 (2009).
  46. S. Aoki et al. (JLQCD and TWQCD Collaborations), Phys. Lett. B 665, 294 (2008).
  47. F. Bernardoni, P. Hernandez, N. Garron, S. Necco, and C. Pena, arXiv:1008.1870.

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Phys. Rev. D 83, 074501– Published 1 April, 2011
  • Received 18 January 2011

© 2011 American Physical Society

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