- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Running coupling constant of ten-flavor QCD with the Schrödinger functional method

M. Hayakawa1, K.-I. Ishikawa2, Y. Osaki2, S. Takeda3, S. Uno1, and N. Yamada4,5,*

  • 1Department of Physics, Nagoya University, Nagoya 464-8602, Japan
  • 2Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
  • 3School of Mathematics and Physics, College of Science and Engineering, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa 920-1192, Japan
  • 4KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
  • 5School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan

  • *norikazu.yamada@kek.jp
PDF

Phys. Rev. D 83, 074509 – Published 26 April, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.074509

Abstract

The walking technicolor theory attempts to realize electroweak symmetry breaking as the spontaneous chiral symmetry breakdown caused by the gauge dynamics with slowly varying gauge coupling constant and large mass anomalous dimension. Many-flavor QCD theories are candidates owning these features. We focus on the SU(3) gauge theory with ten flavors of massless fermions in the fundamental representation, and compute the gauge coupling constant in the Schrödinger functional scheme. Numerical simulation is performed with O(a)-unimproved lattice action, and the continuum limit is taken in linear in lattice spacing. We observe evidence that this theory possesses an infrared fixed point.

View figure in article

Article Text

References (42)

  1. S. Weinberg, Phys. Rev. D 13, 974 (1976); L. Susskind, 20, 2619 (1979).
  2. E. Eichten and K. D. Lane, Phys. Lett. 90B, 125 (1980); S. Dimopoulos and L. Susskind, Nucl. Phys. B155, 237 (1979).
  3. R. S. Chivukula, arXiv:hep-ph/0011264; C. T. Hill and E. H. Simmons, Phys. Rep. 381, 235 (2003); 390, 553(E) (2004); F. Sannino, arXiv:0804.0182.
  4. M. E. Peskin and T. Takeuchi, Phys. Rev. Lett. 65, 964 (1990); Phys. Rev. D 46, 381 (1992).
  5. See, for example, R. S. Chivukula and E. H. Simmons, Phys. Rev. D 82, 033014 (2010).
  6. B. Holdom, Phys. Rev. D 24, 1441 (1981); K. Yamawaki, M. Bando, and K. i. Matumoto, Phys. Rev. Lett. 56, 1335 (1986); T. W. Appelquist, D. Karabali, and L. C. R. Wijewardhana, 57, 957 (1986); T. Akiba and T. Yanagida, Phys. Lett. 169B, 432 (1986); M. Bando, T. Morozumi, H. So, and K. Yamawaki, Phys. Rev. Lett. 59, 389 (1987).
  7. D. D. Dietrich and F. Sannino, Phys. Rev. D 75, 085018 (2007).
  8. W. E. Caswell, Phys. Rev. Lett. 33, 244 (1974); T. Banks and A. Zaks, Nucl. Phys. B196, 189 (1982).
  9. For a recent review, see, for example, G. T. Fleming, Proc. Sci. , LAT2008 (2008) 021 [arXiv:0812.2035]; E. Pallante, Proc. Sci. LAT2009 (2009) 015 [arXiv:0912.5188].
  10. H. Gies and J. Jaeckel, Eur. Phys. J. C 46, 433 (2006).
  11. J. Braun and H. Gies, J. High Energy Phys. 06 (2006) 024.
  12. T. Appelquist, G. T. Fleming, and E. T. Neil, Phys. Rev. Lett. 100, 171607 (2008); arXiv:0712.0609.
  13. T. Appelquist, G. T. Fleming, and E. T. Neil, Phys. Rev. D 79, 076010 (2009).
  14. A. Deuzeman, M. P. Lombardo, and E. Pallante, Phys. Lett. B 670, 41 (2008).
  15. A. Deuzeman, M. P. Lombardo, and E. Pallante, Phys. Rev. D 82, 074503 (2010).
  16. Z. Fodor, K. Holland, J. Kuti, D. Nogradi, and C. Schroeder, Phys. Lett. B 681, 353 (2009).
  17. A. Hasenfratz, Phys. Rev. D 80, 034505 (2009).
  18. X. Y. Jin and R. D. Mawhinney, Proc. Sci. LAT2009 (2009) 049 [arXiv:0910.3216].
  19. E. Bilgici et al., Proc. Sci. LAT2009 (2009) 063 [arXiv:0910.4196].
  20. Y. Shamir, B. Svetitsky, and T. DeGrand, Phys. Rev. D 78, 031502 (2008).
  21. T. DeGrand, Y. Shamir, and B. Svetitsky, Phys. Rev. D 79, 034501 (2009).
  22. T. DeGrand, Phys. Rev. D 80, 114507 (2009).
  23. T. DeGrand, Y. Shamir, and B. Svetitsky, Phys. Rev. D 82, 054503 (2010).
  24. Z. Fodor, K. Holland, J. Kuti, D. Nogradi, and C. Schroeder, J. High Energy Phys. 11 (2009) 103.
  25. J. B. Kogut and D. K. Sinclair, Phys. Rev. D 81, 114507 (2010).
  26. A. J. Hietanen, K. Rummukainen, and K. Tuominen, Phys. Rev. D 80, 094504 (2009).
  27. A. J. Hietanen, J. Rantaharju, K. Rummukainen, and K. Tuominen, J. High Energy Phys. 05 (2009) 025.
  28. L. Del Debbio, B. Lucini, A. Patella, C. Pica, and A. Rago, Phys. Rev. D 80, 074507 (2009).
  29. F. Bursa, L. Del Debbio, L. Keegan, C. Pica, and T. Pickup, Phys. Rev. D 81, 014505 (2010).
  30. L. Del Debbio, B. Lucini, A. Patella, C. Pica, and A. Rago, Phys. Rev. D 82, 014509 (2010).
  31. L. Del Debbio, B. Lucini, A. Patella, C. Pica, and A. Rago, Phys. Rev. D 82, 014510 (2010).
  32. M. Luscher, R. Narayanan, P. Weisz, and U. Wolff, Nucl. Phys. B384, 168 (1992); M. Luscher, R. Sommer, P. Weisz, and U. Wolff, B413, 481 (1994); S. Sint and R. Sommer, B465, 71 (1996).
  33. S. Aoki et al. (JLQCD Collaboration), Phys. Rev. D 72, 054510 (2005).
  34. K. i. Nagai, G. Carrillo-Ruiz, G. Koleva, and R. Lewis, Phys. Rev. D 80, 074508 (2009).
  35. A. Bode, P. Weisz, and U. Wolff (ALPHA collaboration), Nucl. Phys. B576, 517 (2000); ALPHA collaborationB600, 453(E) (2001); B608, 481(E) (2001).
  36. T. Appelquist, K. D. Lane, and U. Mahanta, Phys. Rev. Lett. 61, 1553 (1988); A. G. Cohen and H. Georgi, Nucl. Phys. B314, 7 (1989).
  37. M. Hayakawa, K.-I. Ishikawa, Y. Osaki, S. Takeda, S. Uno, and N. Yamada, Proc. Sci. LATTICE2010 (2010) 325 [arXiv:1009.5169].
  38. S. Aoki et al. (PACS-CS Collaboration), J. High Energy Phys. 10 (2009) 053.
  39. E. Shintani et al. (JLQCD Collaboration), Phys. Rev. Lett. 101, 242001 (2008).
  40. P. A. Boyle, L. Del Debbio, J. Wennekers, and J. M. Zanotti (RBC Collaborations and UKQCD Collaborations), Phys. Rev. D 81, 014504 (2010).
  41. T. DeGrand, arXiv:1006.3777.
  42. T. Appelquist et al., arXiv:1009.5967 [Phys. Rev. Lett. (to be published)].

Outline

Information

Phys. Rev. D 83, 074509– Published 26 April, 2011
  • Received 11 November 2010
Article part of CHORUS

© 2011 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation