Chiral condensate in the quenched Schwinger model

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 5, 2000, Pages 1-6

  Kiskis, Joe ^a   Narayanan, Rajamani ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b AMERICAN PHYSICAL SOCIETY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037221500     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.054501     Document Type: Article

References (16)

1. C. Bernard and M. Golterman, Phys. Rev. D 46, 853 (1992); S. Sharpe, ibid. 46, 3146 (1992).
2. C. Bernard and M. Golterman, Phys. Rev. D 46, 853 (1992); S. Sharpe, ibid. 46, 3146 (1992).
3. H. Thacker, W. Bardeen, A. Duncan, and E. Eichten, Nucl. Phys. B (Proc. Suppl.) 73, 243 (1999); CP-PACS Collaboration, S. Aoki et al., Phys. Rev. Lett. 84, 238 (2000).
4. H. Thacker, W. Bardeen, A. Duncan, and E. Eichten, Nucl. Phys. B (Proc. Suppl.) 73, 243 (1999); CP-PACS Collaboration, S. Aoki et al., Phys. Rev. Lett. 84, 238 (2000).
5. U. Sharan and M. Teper, hep-ph/9910216.
6. J. Lowenstein and J. Swieca, Ann. Phys. (N.Y.) 68, 172 (1961).
7. A. V. Smilga, Phys. Rev. D 46, 5598 (1992).
8. S. Dürr and S. R. Sharpe, Phys. Rev. D (to be published), hep-lat/9902007.
9. A. Casher and H. Neuberger, Phys. Lett. 139B, 67 (1984).
10. H. Neuberger, Phys. Lett. B 417, 141 (1998).
11. R. G. Edwards, U. M. Heller, and R. Narayanan, Phys. Rev. D 59, 094510 (1999).
12. R. Narayanan and H. Neuberger, Phys. Rev. Lett. 71, 3251 (1993).
13. G. 't Hooft, Phys. Rev. Lett. 37, 8 (1976); Phys. Rev. D 14, 3432 (1976).
14. G. 't Hooft, Phys. Rev. Lett. 37, 8 (1976); Phys. Rev. D 14, 3432 (1976).
15. F. Farchioni, I. Hip, C. B. Lang, and M. Wohlgenannt, Nucl. Phys. B549, 364 (1999).
16. The recent paper by M. Schnabel and T. Wettig, Phys. Rev. D (to be published), hep-lat/9912057, offers an explanation of the disagreement observed in Ref. [12] by arguing that the cause is a zero chiral condensate at finite volume in the quenched Schwinger model. This is supported by some numerical computations. While the model offered by Schnabel and Wittig is interesting, the action they used is not gauge invariant, and it does not give an area law for the Wilson loop. Therefore there is some question about the relevance of the calculation to the quenched Schwinger model.