Chiral logarithms in quenched QCD

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 3, 2004, Pages

  Chen, Y ^a,b   Dong, S J ^a   Draper, T ^a   Horvath I ^a   Lee, F X ^c,d   Liu, K F ^a   Mathur, N ^a   Zhang, J B ^e  

^a UNIVERSITY OF KENTUCKY   (United States)

^b INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^c GEORGE WASHINGTON UNIVERSITY   (United States)

^d THOMAS JEFFERSON NATIONAL ACCELERATOR FACILITY   (United States)

^e UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHIRALITY; FERMION; HADRON; MATHEMATICAL ANALYSIS; NUCLEAR ENERGY; NUCLEON; PION; QUANTUM MECHANICS; QUARK; THEORETICAL MODEL;

EID: 42749108917     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.034502     Document Type: Article

References (60)

1. C. Bernard, hep-lat/0209086.
2. For reviews, see, for example, H. Neuberger, Annu. Rev. Nucl. Part. Sci. 51, 23 (2001)
3. H. NeubergerNucl. Phys. B (Proc. Suppl.) 83-84, 67 (2000)
4. Nucl. Phys. B (Proc. Suppl.)H. Neuberger73, 105 (1999).
5. R. Narayanan and H. Neuberger, Phys. Rev. Lett. 71, 3251 (1993).
6. R. Narayanan and H. Neuberger, Nucl. Phys. B443, 305 (1995).
7. H. Neuberger, Phys. Lett. B 417, 141 (1998).
8. M. Lüscher, Phys. Lett. B 428, 342 (1998).
9. K.F. Liu, hep-lat/0206002.
10. S.J. Dong, F.X. Lee, K.F. Liu, and J.B. Zhang, Phys. Rev. Lett. 85, 5051 (2000).
11. R.G. Edwards, U.M. Heller, and R. Narayanan, Phys. Rev. D 59, 094510 (1999).
12. S.J. Dong, T. Draper, I. Horváth, F.X. Lee, K.F. Liu, and J.B. Zhang, Phys. Rev. D 65, 054507 (2002).
13. Y. Kikukawa, R. Narayanan, and H. Neuberger, Phys. Lett. B 399, 105 (1997).
14. Y. Iwasaki, Nucl. Phys. B258, 141 (1985).
15. H. Neuberger, Phys. Rev. D 57, 5417 (1998).
16. J. van den Eshof, Comput. Phys. Commun. 146, 203 (2002)
17. J. van den EshofNucl. Phys. B (Proc. Suppl.) 106, 1070 (2002).
18. T.W. Chiu, Phys. Rev. D 66, 114502 (2002).
19. E.I. Zolotarev, Zap. Imp. Akad. Nauk. St. Petersburg 30, (1877).
20. D. Ingerman, V. Druskin, and L. Knizhnerman, Commun. Pure Appl. Math. 53, 1039 (2000).
21. P.P. Petrushev and V.A. Popov, Rational Approximation of Real Functions (Cambridge University Press, Cambridge, England, 1987).
22. R.G. Edwards, U.M. Heller, and R. Narayanan, Parallel Comput. 25, 1395 (1999).
23. H. Neuberger, Nucl. Phys. B (Proc. Suppl.) 83, 813 (2000).
24. R.G. Edwards and U.M. Heller, Phys. Rev. D 65, 014505 (2002).
25. T. Blum, Phys. Rev. D 69, 074502 (2004).
26. W. Bardeen, A. Duncan, E. Eichten, N. Isgur, and H. Thacker, Phys. Rev. D 65, 014509 (2002).
27. S. Sharpe, Phys. Rev. D 46, 3146 (1992).
28. C. Bernard and M. Golterman, Phys. Rev. D 46, 853 (1992).
29. S. Sharpe, Phys. Rev. D 56, 7052 (1997)
30. Phys. Rev. DS. Sharpe62, 099901(E) (2000).
31. J. Heitger, R. Sommer, and H. Wittig, Nucl. Phys. B588, 377 (2000).
32. S. Aoki, Phys. Rev. Lett. 84, 238 (2000)
33. CP-PACS Collaboration, S. Aoki, Phys. Rev. D 67, 034503 (2003).
34. W. Bardeen, A. Duncan, E. Eichten, and H. Thacker, Phys. Rev. D 62, 114505 (2000).
35. QCDSF Collaboration, M. Göckeler, et al., Nucl. Phys. B (Proc. Suppl.) 83, 203 (2000).
36. MILC Collaboration, C. Bernard, Phys. Rev. D 64, 054506 (2001)
37. MILC Collaboration, C. Aubin, hep-lat/0209066.
38. S. Kim and S. Ohta, Phys. Rev. D 61, 074506 (2000).
39. Y. Aoki, Phys. Rev. D 69, 074504 (2004)
40. RBC Collaboration, Y. Aoki, Nucl. Phys. B (Proc. Suppl.) 106, 245 (2002).
41. RGB Collaboration, C. Gattringer, hep-lat/0209099
42. C. Gattringer, hep-lat/0208056
43. S. Hauswirth, hep-lat/0204015. We should note that the results quoted here are from a fitting method which includes nondegenerate quark masses.
44. T.W. Chiu and T.H. Hsieh, Phys. Rev. D 66, 014506 (2002)
45. T.W. ChiuT.H. Hsiehhep-lat/0208066.
46. P. Lepage, Nucl. Phys. B (Proc. Suppl.) 106, 12 (2002).
47. C. Morningstar, Nucl. Phys. B (Proc. Suppl.) 109, 185 (2002).
48. S.J. Dong, T. Draper, I. Horváth, F.X. Lee, K.F. Liu, N. Mathur, C. Srinivasan, and J.B. Zhang (in preparation)
49. S.J. Dong, hep-lat/0208055.
50. M. Fukugita, Phys. Rev. Lett. 68, 761 (1992)
51. M. FukugitaPhys. Lett. B 294, 380 (1992)
52. M. FukugitaPhys. Rev. D 47, 4739 (1993)
53. Phys. Rev. DS. Aoki, 50, 486 (1994).
54. P. Langacher and H. Pagels, Phys. Rev. D 8, 4595 (1973).
55. J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985).
56. A. Pich, Rep. Prog. Phys. 58, 563 (1995).
57. J. Labrenz and S. Sharpe, Phys. Rev. D 54, 4595 (1996)
58. J. LabrenzS. SharpeNucl. Phys. B (Proc. Suppl.) 34, 335 (1994).
59. We thank D. Leinweber for pointing out the need to include the next analytic term in the chiral expansion.
60. D. Leinweber, A. Thomas, and R. Young, Phys. Rev. Lett. (to be published), hep-lat/0302020.