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Witten-Veneziano relation, quenched QCD, and overlap fermions
Phys. Rev. D 65, 114501 – Published 6 June, 2002
DOI: https://doi.org/10.1103/PhysRevD.65.114501
Abstract
The quarks in quenched QCD have an anomalous self-interaction in the flavor singlet Goldstone boson channel. This coupling is extracted from a graph with disconnected quark lines, and is used to infer the mass of the eta-prime meson in full QCD. When the fermions are described by an overlap action, the Witten-Veneziano relation is an exact relation between the topological susceptibility (as defined through fermionic zero modes) and the inferred value of the eta-prime mass. Using an overlap action we compute the hairpin amplitude and determine the fermion zero-mode susceptibility, the inferred eta-prime mass and other parameters characterizing the low energy chiral properties of quenched QCD.
References (31)
- E. Witten, Nucl. Phys. B156, 269 (1979); ibid.G. Veneziano, B159, 213 (1979).
- H.W. Hamber, E. Marinari, G. Parisi, and C. Rebbi, Nucl. Phys. B225, 475 (1983).
- M. Fukugita, T. Kaneko, and A. Ukawa, Phys. Lett. 145B, 93 (1984).
- S. Itoh, Y. Iwasaki, and T. Yoshie, Phys. Rev. D 36, 527 (1987).
- Y. Kuramashi, M. Fukugita, H. Mino, M. Okawa, and A. Ukawa, Phys. Rev. Lett. 72, 3448 (1994).
- M. Fukugita, Y. Kuramashi, M. Okawa, and A. Ukawa, Phys. Rev. D 51, 3952 (1995).
- G. Kilcup, J. Grandy, and L. Venkataraman, Nucl. Phys. B (Proc. Suppl.) 47, 358 (1996); ibid.L. Venkataraman, G. Kilcup, and J. Grandy, 53, 259 (1997); L. Venkataraman and G. Kilcup, hep-lat/9711006.
- W. Bardeen, A. Duncan, E. Eichten, and H. Thacker, Phys. Rev. D 62, 114505 (2000).
- P.H. Ginsparg and K.G. Wilson, Phys. Rev. D 25, 2649 (1982).
- H. Neuberger, Phys. Lett. B 417, 141 (1998); Phys. Rev. Lett. 81, 4060 (1998).
- R.G. Edwards, U.M. Heller, and R. Narayanan, Phys. Rev. D 59, 094510 (1999).
- Cf.S.R. Sharpe, Phys. Rev. D 46, 3146 (1992); ibid.C.W. Bernard and M.F. Golterman, 46, 853 (1992); C. Bernard, M. Golterman, J. Labrenz, S. Sharpe, and A. Ukawa, Nucl. Phys. B (Proc. Suppl.) 34, 334 (1994); C.W. Bernard and M.F. Golterman, Phys. Rev. D 53, 476 (1996).
- For an old discussion of this problem, see R.J. Crewther, Riv. Nuovo Cimento 28, 63 (1979); see also E. Seiler, Phys. Lett. B 525, 355 (2002).
- L. Giusti, G.C. Rossi, M. Testa, and G. Veneziano, Nucl. Phys. B628, 234 (2002).
- P. Hasenfratz, V. Laliena, and F. Niedermayer, Phys. Lett. B 427, 125 (1998).
- M. Lüscher, Phys. Lett. B 428, 342 (1998).
- S. Chandrasekharan, Phys. Rev. D 60, 074503 (1999).
- H. Leutwyler and A. Smilga, Phys. Rev. D 46, 5607 (1992).
- MILC Collaboration, T. DeGrand, Phys. Rev. D 63, 034503 (2001).
- APE Collaboration, M. Albanese et al., Phys. Lett. B 192, 163 (1987); M. Falcioni, M.L. Paciello, G. Parisi, and B. Taglienti, Nucl. Phys. B251, 624 (1985).
- See B. Bunk, K. Jansen, M. Lüscher, and H. Simma, DESY report, 1994; T. Kalkreuter and H. Simma, Comput. Phys. Commun. 93, 33 (1996).
- ALPHA Collaboration, M. Guagnelli, R. Sommer, and H. Wittig, Nucl. Phys. B535, 389 (1998).
- T. DeGrand and A. Hasenfratz, Phys. Rev. D 64, 034512 (2001).
- For examples of noise reduction in calculations of disconnected diagrams, see W. Wilcox, hep-lat/9911013; UKQCD Collaboration, C. McNeile and C. Michael, Phys. Rev. D 63, 114503 (2001); ibid.SESAM Collaboration, T. Struckmann et al., 63, 074503 (2001); J. Viehoff, Wupperthal thesis, 1999, Report No. DESY-THESIS-1999-036.
- T. DeGrand, Phys. Rev. D 64, 094508 (2001).
- Cf.M. Teper, Nucl. Phys. B (Proc. Suppl.) 83, 146 (2000).
- C.W. Bernard et al., Phys. Rev. D 64, 054506 (2001).
- CP-PACS Collaboration, S. Aoki et al., Phys. Rev. Lett. 84, 238 (2000).
- Cf.T. Schafer and E.V. Shuryak, Rev. Mod. Phys. 70, 323 (1998).
- Cf.N. Isgur and H.B. Thacker, Phys. Rev. D 64, 094507 (2001).
- K. Schilling, H. Neff, N. Eicker, T. Lippert, and J.W. Negele, Nucl. Phys. B (Proc. Suppl.) 106, 227 (2002); ibid.109, 15 (2002).