- 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

(2+1)-dimensional lattice QCD

Peter Orland*

  • Kavli Institute for Theoretical Physics, The University of California, Santa Barbara, California 93106, USA
  • Physics Program, The Graduate School and University Center, The City University of New York, 365 Fifth Avenue, New York, New York 10016, USA
  • Department of Natural Sciences, Baruch College, The City University of New York, 17 Lexington Avenue, New York, New York 10010, USA

  • *Electronic address: orland@gursey.baruch.cuny.edu
PDF

Phys. Rev. D 71, 054503 – Published 9 March, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.054503

Abstract

We consider a (2+1)-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U1 set equal to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is nonlocal. Despite this nonlocality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds to all orders. Heavy quarks are confined, the spectrum is gapped, and the spacelike Wilson loop has area decay.

View figure in article

Article Text

References (15)

  1. A. M. Polyakov, Phys. Lett. 59B, 82 (1975).
  2. A. M. Polyakov, Nucl. Phys. B120, 429 (1977).
  3. R. P. Feynman, Nucl. Phys. B188, 479 (1981).
  4. P. Orland G. W. Semenoffand , Nucl. Phys. B576, 627 (2000).
  5. D. Karabali and V. P. Nair, Nucl. Phys. B464, 135 (1996); Phys. Lett. B 379, 141 (1996); D. Karabali, C. Kim, and V. P. Nair, 524, 661 (1998); 434, 103 (1998); Nucl. Phys. B566, 331 (2000); Phys. Rev. D 64, 025011 (2001).
  6. P. Orland, Phys. Rev. D 70, 045014 (2004).
  7. A. M. Polyakov, Phys. Lett. 59B, 79 (1975); E. Brezin, J. Zinn-Justin, and J. C. Le Guillou, Phys. Rev. D 14, 2615 (1976); E. Brezin and J. Zinn-Justin, Phys. Rev. B 14, 3110 (1976); W. A. Bardeen, B. W. Lee, and R. E. Schrock, Phys. Rev. D 14, 985 (1976); Y. Y. Goldschmidt and E. Witten, Phys. Lett. 91B, 392 (1980); A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979); P. Wiegmann, Phys. Lett. 152B, 209 (1985).
  8. A. M. Polyakov and P. Wiegmann, Phys. Lett. 131B, 121 (1983); P. Wiegmann, 141B, 217 (1984); L. D. Fadeev and N. Yu. Reshetikhin, Ann. Phys. (N.Y.) 167, 227 (1986).
  9. E. Abdalla, M. C. B. Abdalla, and A. Lima-Santos, Phys. Lett. 140B, 71 (1984); P. Wiegmann, 142B, 173 (1984).
  10. S. Mandelstam, Bull. Am. Phys. Soc. 22, 541 (1977); Phys. Rev. D 19, 2391 (1979).
  11. J. Kogut, Rev. Mod. Phys. 51, 659 (1979); M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).
  12. M. B. Halpern, Phys. Rev. D 19, 517 (1979).
  13. G. G. Batrouni, Nucl. Phys. B208, 12 (1982); M. B. Halpern and G. G. Batrouni, Phys. Rev. D 30, 1782 (1984).
  14. S. G. Rajeev, Phys. Lett. B 212, 203 (1988); E. Langmann and G. W. Semenoff, 296, 117 (1992); J. Hetrick, Int. J. Mod. Phys. A 9, 3153 (1994); V. Müller and W. Rühl, Nucl. Phys. B230, 49 (1984); J. B. Bronzan, Phys. Rev. D 31, 2020 (1985); J. B. Bronzan and T. E. Vaughan, 47, 3543 (1993).
  15. A. McKane and M. Stone, Nucl. Phys. 163B, 169 (1980).

Outline

Information

Phys. Rev. D 71, 054503– Published 9 March, 2005
  • Received 28 January 2005

© 2005 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation