Lattice Quantum Chromodynamics

  • Roberto Petronzio
Part of the NATO ASI Series book series (NSSB, volume 173)


When the energies involved in hadronic processes are of the order of the hadron masses, quantum chromodynamics — the theory which is supposed to describe them — enters into a strong coupling regime where a perturbative expansion becomes inadequate. This can be seen from the behaviour of the running coupling constant (Fig. 1) which exceeds one below some energy scale E0 of the order of one GeV.


Lattice Spacing Quark Mass Wilson Loop String Tension Polyakov Loop 
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  1. 1.a
    K.G. Wilson, Phys.Rev. D10:2445 (1975)ADSGoogle Scholar
  2. 1.b
    K.G. Wilson, in New Phenomena in Subnuclear Physics, ed. A. Zichichi (Plenum Press, New York, 1977).Google Scholar
  3. 2.
    N. Metropolis, A.W. Rosenblugh, A.H. Teller and E. Teller, J.Chem.Phys. 21:1087 (1953).ADSCrossRefGoogle Scholar
  4. 3.a
    G. Parisi and Wu Yongshi, Sci.Sin. 24:483 (1981)Google Scholar
  5. 3.b
    G.G. Batzouni, G.R. Katz, A.S. Kronfeld, G.P. Lepage, B. Svetitsky and K.G. Wilson, Phys.Rev. D32:2736 (1985).ADSGoogle Scholar
  6. 4.
    K.G. Wilson and J. Kogut, Physics Reports 12C:75 (174).Google Scholar
  7. 5.
    H. Nielsen and M. Ninomiya, Nucl.Phys. B185:20 (1981).MathSciNetADSCrossRefGoogle Scholar
  8. 6.
    J. Kogut and L. Susskind, Phys.Rev. D11:395 (1975).ADSGoogle Scholar
  9. 7.
    D. Barkai, K.J.M. Moriarty and C. Rebbi, Phys.Rev. D30:1293 (1984).ADSGoogle Scholar
  10. 8.
    A.M. Polyakov, Phys.Lett. B72:477 (1978).MathSciNetADSGoogle Scholar
  11. 9.
    M. Fukugita, Lectures presented at the Workshop on Lattice Gauge Theory Using Parallel Processors, May 1987, Beijing, China, Kyoto Preprint RIFP-703 (June 1987).Google Scholar
  12. 10.
    R. Gupta et al., San Diego Preprint UCDS 10P10-245 (1985).Google Scholar
  13. 11.a
    M. Falcioni, E. Marinari, M.L. Paciello, G. Parisi, B. Taglienti and Zhang Yi-Cheng, Nucl.Phys. B215:265 [FS7] (1983)Google Scholar
  14. 11.b
    K. Mütter and K. Schilling, Phys.Lett. 117B:75 (1982).ADSGoogle Scholar
  15. 12.
    Ph. de Forcrand, G. Schierholz, H. Schneider and M. Teper, Phys.Lett. 152:107 (1985); 160B:137 (1985).Google Scholar
  16. 13.
    The APE Collaboration: M. Albanese, F. Costantini, G. Fiorentini, F. Flore, M.P. Lombardo, R. Tripiccione, P. Bacilieri, L. Fonti, P. Giacomelli, E. Remiddi, M. Bernaschi, N. Cabibbo, E. Marinari, G. Parisi, G. Salina, S. Cabasino, F. Marzano, P. Paolucci, S. Petrarca, F. Rapuano, P. Marchesini and R. Rusak, II University of Rome Preprint ROM2F/87/014 (1987).Google Scholar
  17. 14.
    J. Cleymans, R.V. Gavai and E. Suhonen, Physics Reports 130:217 (1986).ADSCrossRefGoogle Scholar
  18. 15.a
    H. Hanuber and G. Parisi, Phys.Rev.Lett. 47:1792 (1981)ADSCrossRefGoogle Scholar
  19. 15.b
    E. Marinari, G. Parisi and C. Rebbi, Phys.Rev.Lett. 47:1795 (1981)ADSCrossRefGoogle Scholar
  20. 15.c
    D. Weingarten, Phys.Lett. 109B:57 (1982).MathSciNetADSGoogle Scholar
  21. 16.
    E. Laermann, K.H. Mütter, K. Schilling and R. Sommer, University of Wuppertal Preprint WUB 87-3 (1987).Google Scholar
  22. 17.
    Ph. de Forcrand, K.H. Mütter, K. Schilling and R. Sommer, University of Wuppertal Preprint WUB 86-12 (1986).Google Scholar
  23. 18.
    A. Hasenfratz and P. Hasenfratz, Phys.Lett. 93B:165 (1980).ADSGoogle Scholar
  24. 19.
    M. Bochicchio, L. Maiani, G. Martinelli, G.C. Rossi and M. Testa, Nucl.Phys. B262:331 (1985).ADSCrossRefGoogle Scholar
  25. 20.
    L. Maiani and G. Martinelli, Phys.Lett. B178:265 (1986).ADSGoogle Scholar
  26. 21.a
    N. Cabibbo, G. Martinelli and R. Petronzio, Nucl.Phys. B244:381 (1984)ADSCrossRefGoogle Scholar
  27. 21.b
    R.C. Brower et al., Phys.Rev.Lett. 53; 1318 (1984)ADSCrossRefGoogle Scholar
  28. 21.c
    C. Bernard et al., Phys.Rev.Lett. 55:2770 (1985).ADSCrossRefGoogle Scholar
  29. 22.
    L. Maiani and G. Martinelli, CERN Preprint TH. 4531 (1986).Google Scholar
  30. 23.
    L. Maiani, G. Martinelli, M.L. Paciello and B. Taglienti, CERN Preprint TH. 4658 (1987).Google Scholar
  31. 24.
    F. Fucito, E. Marinari, G. parisi and C. Rebbi, Nucl.Phys. B180:369 [FS2] (1981).MathSciNetADSCrossRefGoogle Scholar
  32. 25.
    A. Ukawa and M. Fukugita, Phys.Rev.Lett. 55:1854 (1985).ADSCrossRefGoogle Scholar
  33. 26.
    M. Campostrini, K.J.M. Moriarty, J. Potvin and C. Rebbi, BNL Preprint BU-87-17 (1987).Google Scholar
  34. 27.
    F. Karsch, J.B. Kogut, D.K. Sinclair and H.W. Wyld, Phys.Lett. 188:353 (1987).Google Scholar

Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Roberto Petronzio
    • 1
  1. 1.Theoretical Physics DivisionCERNGeneva 23Switzerland

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