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Hadron masses in QCD with one quark flavour

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Abstract

One-flavour QCD – a gauge theory with SU(3) colour gauge group and a fermion in the fundamental representation – is studied by Monte Carlo simulations. The mass spectrum of the hadronic bound states is investigated in a volume with extensions of L≃4.4r0 (≃ 2.2 fm) at two different lattice spacings: a≃0.37r0 (≃ 0.19 fm) and a≃0.27r0 (≃ 0.13 fm). The lattice action is a Symanzik tree-level improved Wilson action for the gauge field and an (unimproved) Wilson action for the fermion.

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References

  1. R.F. Dashen, Phys. Rev. D 3, 1879 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  2. C. Vafa, E. Witten, Nucl. Phys. B 234, 173 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  3. M. Creutz, Rev. Mod. Phys. 73, 119 (2001) [hep-lat/0007032]

    Article  ADS  Google Scholar 

  4. M. Creutz, hep-lat/0511052

  5. M. Creutz, Phys. Rev. Lett. 92, 201601 (2004) [hep-lat/0312018]

    Article  ADS  Google Scholar 

  6. M. Creutz, Ann. Phys. 322, 1518 (2007) [hep-th/0609187]

    Article  MATH  ADS  Google Scholar 

  7. A. Armoni, M. Shifman, G. Veneziano, Nucl. Phys. B 667, 170 (2003) [hep-th/0302163]

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. A. Armoni, M. Shifman, G. Veneziano, Phys. Rev. Lett. 91, 191601 (2003) [hep-th/0307097]

    Article  ADS  Google Scholar 

  9. A. Armoni, M. Shifman, G. Veneziano, Phys. Lett. B 579, 384 (2004) [hep-th/0309013]

    Article  ADS  MathSciNet  Google Scholar 

  10. A. Armoni, M. Shifman, G. Veneziano, hep-th/0403071

  11. P. Keith-Hynes, H.B. Thacker, Phys. Rev. D 75, 085001 (2007) [hep-th/0701136]

    Article  ADS  Google Scholar 

  12. G. Veneziano, S. Yankielowicz, Phys. Lett. B 113, 231 (1982)

    Article  ADS  Google Scholar 

  13. F. Sannino, M. Shifman, Phys. Rev. D 69, 125004 (2004) [hep-th/0309252]

    Article  ADS  MathSciNet  Google Scholar 

  14. A. Armoni, E. Imeroni, Phys. Lett. B 631, 192 (2005) [hep-th/0508107]

    Article  ADS  MathSciNet  Google Scholar 

  15. T. DeGrand, R. Hoffmann, S. Schaefer, Z. Liu, Phys. Rev. D 74, 054501 (2006) [hep-th/0605147]

    Article  ADS  Google Scholar 

  16. qq+q Collaboration, F. Farchioni, I. Montvay, E. Scholz, L. Scorzato, Eur. Phys. J. C 31, 227 (2003) [hep-lat/0307002]

    Article  MATH  ADS  Google Scholar 

  17. qq+q Collaboration, F. Farchioni, I. Montvay, E. Scholz, Eur. Phys. J. C 37, 197 (2004) [hep-lat/0403014]

    Article  ADS  Google Scholar 

  18. L. Del Debbio, L. Giusti, M. Lüscher, R. Petronzio, N. Tantalo, JHEP 0602, 011 (2006) [hep-lat/0512021]

    Article  ADS  Google Scholar 

  19. M. Göckeler et al., PoS LAT2006, 179 (2006) [hep-lat/0610066]

    Google Scholar 

  20. ETM Collaboration, P. Boucaud et al., Phys. Lett. B 650, 304 (2007) [hep-lat/0701012]

    Article  ADS  Google Scholar 

  21. R. Sommer, Nucl. Phys. B 411, 839 (1994) [hep-lat/9310022]

    Article  ADS  Google Scholar 

  22. C. Alexandrou, A. Borici, A. Feo, P. de Forcrand, A. Galli, F. Jegerlehner, T. Takaishi, Phys. Rev. D 60, 034504 (1999) [hep-lat/9811028]

    Article  ADS  Google Scholar 

  23. K. Symanzik, Nucl. Phys. B 226, 187 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  24. P. Weisz, Nucl. Phys. B 212, 1 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  25. P. Weisz, R. Wohlert, Nucl. Phys. B 236, 397 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  26. P. Weisz, R. Wohlert, Nucl. Phys. B 247, 544 (1984)

    Article  MathSciNet  Google Scholar 

  27. I. Montvay, E. Scholz, Phys. Lett. B 623, 73 (2005) [hep-lat/0506006]

    Article  ADS  Google Scholar 

  28. E.E. Scholz, I. Montvay, PoS LAT2006, 037 (2006) [hep-lat/0609042]

    Google Scholar 

  29. R. Frezzotti, K. Jansen, Phys. Lett. B 402, 328 (1997) [hep-lat/9702016]

    Article  ADS  Google Scholar 

  30. R. Frezzotti, K. Jansen, Nucl. Phys. B 555, 395 (1999) [hep-lat/9808011]

    Article  ADS  Google Scholar 

  31. R. Frezzotti, K. Jansen, Nucl. Phys. B 555, 432 (1999) [hep-lat/9808038]

    Article  ADS  Google Scholar 

  32. P. de Forcrand, T. Takaishi, Nucl. Phys. Proc. Suppl. 53, 968 (1997) [hep-lat/9608093]

    Article  ADS  Google Scholar 

  33. I. Montvay, Nucl. Phys. B 466, 259 (1996) [hep-lat/9510042]

    Article  ADS  Google Scholar 

  34. R.G. Edwards, U.M. Heller, R. Narayanan, Nucl. Phys. B 535, 403 (1998) [hep-lat/9802016]

    Article  ADS  Google Scholar 

  35. T. Kalkreuter, H. Simma, Comput. Phys. Commun. 93, 33 (1996) [hep-lat/9507023]

    Article  MATH  ADS  Google Scholar 

  36. A. Morel, J. Phys. (Paris) 48, 1111 (1987)

    Google Scholar 

  37. C.W. Bernard, M.F.L. Golterman, Phys. Rev. D 49, 486 (1994) [hep-lat/9306005]

    Article  ADS  Google Scholar 

  38. S.R. Sharpe, Phys. Rev. D 56, 7052 (1997)

    Article  ADS  Google Scholar 

  39. S.R. Sharpe, Phys. Rev. D 62, 099901 (2000) [hep-lat/9707018]

    Article  ADS  Google Scholar 

  40. S.R. Sharpe, R.L. Singleton, Phys. Rev. D 58, 074501 (1998) [hep-lat/9804028]

    Article  ADS  Google Scholar 

  41. W.J. Lee, S.R. Sharpe, Nucl. Phys. Proc. Suppl. 73, 240 (1999) [hep-lat/9809026]

    Article  MATH  ADS  Google Scholar 

  42. G. Rupak, N. Shoresh, Phys. Rev. D 66, 054503 (2002) [hep-lat/0201019]

    Article  ADS  Google Scholar 

  43. S. Aoki, Phys. Rev. D 68, 054508 (2003) [hep-lat/0306027]

    Article  ADS  MathSciNet  Google Scholar 

  44. O. Bär, G. Rupak, N. Shoresh, Phys. Rev. D 70, 034508 (2004) [hep-lat/0306021]

    Article  ADS  Google Scholar 

  45. S.R. Sharpe, N. Shoresh, Phys. Rev. D 64, 114510 (2001) [hep-lat/0108003]

    Article  ADS  Google Scholar 

  46. TXL Collaboration, J. Viehoff et al., Nucl. Phys. Proc. Suppl. 63, 269 (1998) [hep-lat/9710050]

    Article  ADS  Google Scholar 

  47. F. Farchioni, R. Peetz, Eur. Phys. J. C 39, 87 (2005) [hep-lat/0407036]

    Article  ADS  Google Scholar 

  48. A.M. Abdel-Rehim, R. Lewis, R.M. Woloshyn, Phys. Rev. D 71, 094505 (2005) [hep-lat/0503007]

    Article  ADS  Google Scholar 

  49. Particle Data Group, W.M. Yao et al., J. Phys. G 33, 1 (2006)

    Article  ADS  Google Scholar 

  50. F. Farchioni, C. Gebert, I. Montvay, L. Scorzato, Eur. Phys. J. C 26, 237 (2002) [hep-lat/0206008]

    Article  ADS  Google Scholar 

  51. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  52. S. Dürr, Eur. Phys. J. C 29, 383 (2003) [hep-lat/0208051]

    Article  ADS  Google Scholar 

  53. E. Witten, Nucl. Phys. B 156, 269 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  54. G. Veneziano, Nucl. Phys. B 159, 213 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  55. ALPHA Collaboration, J. Heitger, R. Sommer, H. Wittig, Nucl. Phys. B 588, 377 (2000) [hep-lat/0006026]

    Article  ADS  Google Scholar 

  56. S. Dürr, Z. Fodor, C. Hoelbling, T. Kurth, JHEP 0704, 055 (2007) [hep-lat/0612021]

    Article  ADS  Google Scholar 

Download references

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Farchioni, F., Montvay, I., Münster, G. et al. Hadron masses in QCD with one quark flavour. Eur. Phys. J. C 52, 305–314 (2007). https://doi.org/10.1140/epjc/s10052-007-0394-4

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  • DOI: https://doi.org/10.1140/epjc/s10052-007-0394-4

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