Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Quenched spectrum with staggered fermions

Rajan Gupta

Gerald Guralnik

Gregory W. Kilcup

Stephen R. Sharpe*

  • T-8, MS-B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

  • Physics Department, Brown University, Providence, Rhode Island 02912

  • Physics Department, The Ohio State University, Columbus, Ohio 43210

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 and Physics Department, University of Washington, Seattle, Washington 98195

  • *Permanent address.

Phys. Rev. D 43, 2003 – Published 15 March, 1991

DOI: https://doi.org/10.1103/PhysRevD.43.2003

Abstract

We present results for the spectrum of QCD in the quenched approximation using staggered fermions at β=5.7, 6.0, and 6.2. We use extended wall sources, which give a better projection onto the ground state, and allow us to study many nonlocal pion and ρ states, as well as the Δ baryon. Staggered flavor-symmetry breaking reduces dramatically from β=5.7 to 6.2. For β=6, the ratio mNmρ lies significantly below 1.5 for mq<ms. At β=6 we study finite-volume effects using 163×40 and 243×40 lattices. We reanalyze our old data at β=6.2 and resolve the problem of the anomalously light scalar state.

References (35)

  1. G. Kilcup, S. Sharpe, R. Gupta, and A. Patel, Phys. Rev. Lett. 64, 25 (1990)
  2. R. Gupta, G. Guralnik, G. Kilcup, A. Patel, S. Sharpe, and T. Warnock, Phys. Rev. D 36, 2183 (1987)
  3. K. M. Bitar et al., Report No. FSU-SCRI-90-98 (unpublished)
  4. R. Gupta, in Lattice '89, proceedings of the 1989 Symposium on Lattice Field Theory, Capri, Italy, 1989, edited by N. Cabibbo [Nucl. Phys. B (Proc. Suppl.) 17, 70 (1990)]
  5. S. Sharpe, in Hadronic Matrix Elements and Weak Decays, proceedings of the Ringberg Workshop, Ringberg Castle, West Germany, 1988, edited by A. J. Buras, J.-M. Gérard, and W. Huber [Nucl. Phys. B (Proc. Suppl.) 7A, 255 (1989)]
  6. G. Kilcup, in Lattice '88, proceedings of the International Symposium, Batavia, Illinois, 1988, edited by A. S. Kronfeld and P. B. Mackenzie [Nucl. Phys. B (Proc. Suppl.) 9, 201 (1989)]
  7. M. F. L. Golterman, Nucl. Phys. B273, 663 (1986)
  8. G. W. Kilcup and S. R. Sharpe, Nucl. Phys. B283, 493 (1987)
  9. M. F. L. Golterman and J. Smit, Nucl. Phys. B255, 328 (1985)
  10. A. Billoire, R. Lacaze, E. Marinari, and A. Morel, Nucl. Phys. B251, 581 (1985)
  11. H. Kluberg-Stern, A. Morel, O. Napoly, and B. Petersson, Nucl. Phys. B220, 447 (1983)
  12. K. C. Bowler, C. B. Chalmers, R. D. Kenway, D. Roweth, and D. Stephenson, Nucl. Phys. B296, 732 (1988)
  13. Y. Iwasaki, in Lattice '88 ([6]), p. 254
  14. A. Billoire, E. Marinari, and G. Parisi, Phys. Lett. 162B, 160 (1985)
  15. F. Brandstaeter, A. S. Kronfeld, and G. Schierholz, Nucl. Phys. B345, 709 (1990)
  16. P. Bacilieri et al., Nucl. Phys. B317, 509 (1989)
  17. C. Bernard, D. Murphy, A. Soni, and K. Yee, in Lattice '89 ([4]), p. 593
  18. S. Güsken, U. Löw, K.-H. Mutter, R. Sommer, A. Patel, and K. Schilling, Phys. Lett. B 227, 266 (1989)
  19. E. Marinari, in Lattice '89 ([4]), p. 431
  20. P. Bacilieri et al., Nucl. Phys. B343, 228 (1990)
  21. R. Gupta, G. Kilcup, A. Patel, S. Sharpe, and P. de Forcrand, Mod. Phys. Lett. A 14, 1367 (1988)
  22. Ph. de Forcrand and R. Gupta, in Lattice '88 ([6]), p. 516
  23. K. C. Bowler, C. B. Chalmers, R. D. Kenway, G. S. Pawley, and D. Roweth, Nucl. Phys. B284, 299 (1987)
  24. D. Barkai, K. J. M. Moriarty, and C. Rebbi, Phys. Lett. 156B, 385 (1985)
  25. K. C. Bowler, R. D. Kenway, D. Roweth, and D. Stephenson, Nucl. Phys. B301, 304 (1988)
  26. J. Gasser and H. Leutwyler, Phys. Rep. 87, 77 (1982)
  27. M. F. L. Golterman and J. Smit, Phys. Lett. 140B, 392 (1984)
  28. S. R. Sharpe, R. Gupta, G. Guralnik, G. Kilcup, and A. Patel, Phys. Lett. B 192, 149 (1987)
  29. H. Chen, presented at Lattice '90, proceedings, Tallahassee, Florida, 1990 (unpublished)
  30. S. Sharpe, in Lattice '89 ([4]), p. 146
  31. S. Sharpe, presented at PASCOS-90, Boston, Massachusetts, 1990 (unpublished)
  32. A. Patel, R. Gupta, G. Kilcup, and S. Sharpe, Phys. Lett. B 225, 398 (1989)
  33. M. Guagnelli, presented at Lattice '90 ([29])
  34. O. Pene (private communication)
  35. A. Ukawa, presented at Lattice '90 ([29])

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation