A Semiclassical Approach to the Strong Coupling Physics of QCD

  • Curtis G. CallanJr.
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 59)


Over the past few years, a reasonably simple picture of the workings of QCD has emerged: It assigns different physics to different distance scales via an effective coupling, g(d), governing the quantum fluctuations of scale size d. At short distances, g(d) is small, and the theory resembles a simple weak-coupling perturbation theory. The effective coupling grows with increasing d and eventually becomes large enough that the fluctuations resemble those of a strong coupling lattice theory (the value, dc, of d at which this happens is presumably roughly equal to the size of a typical hadron). The strong coupling limit of lattice QCD is almost as simple as perturbation theory: confinement is automatic and the physics is completely characterized by the energy per unit length, o, of the flux tube which connects static charges.


Strong Coupling Wilson Loop Weak Coupling Flux Tube String Tension 


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  1. 1.
    Curtis G. Callan, Jr., Roger Dashen, and David J. Gross, Instantons as a Bridge Between Weak and Strong Coupling in QCD, Princeton preprint (1980).Google Scholar
  2. 2.
    Curtis G. Callan, Jr., Roger Dashen, and David J. Gross, Semiclassical Methods in Quantum Chromodynamics, In “Quantum Chromodynamics,” W. Frazer and F. Henyey, eds., American Institute of Physics, New York (1978).Google Scholar
  3. 3.
    Sidney Coleman and Erick Weinberg, Phys. Rev. D7: 1888 (1972).Google Scholar
  4. 4.
    K.G. Wilson, Phys. Rev. D10: 2445 (1975).Google Scholar
  5. 5.
    Curtis G. Callan, Jr., R. Dashen, and D. J. Gross, Phys. Rev. A. Zee, Phys. Rev. D18: 4684 (1978).ADSGoogle Scholar
  6. 6.
    G. ‘t Hooft, Phys. Rev. D14: 3432 (1976).Google Scholar
  7. 7.
    Curtis G. Callan, Jr., R. Dashen, and D. J. Gross, Phys. Rev. D20 (1979)Google Scholar
  8. 8.
    w. Celmaster and R. Gonsalves, Phys. Rev. 42: 1435 (1979).ADSGoogle Scholar
  9. 9.
    M. Creutz, BNL Preprint (1979).Google Scholar
  10. 10.
    G. ‘t Hooft, Phys. Rev. Lett. 37: 8 (1976).ADSCrossRefGoogle Scholar
  11. 11.
    D. Caldi, Phys. Rev. Lett. 39: 121 (1977)ADSCrossRefGoogle Scholar
  12. R. Carlitz, Phys. Rev. D17: 3225 (1978).ADSGoogle Scholar
  13. 12.
    J. Kogut, R. Pearson, and J. Shigemitsu, Phys. Rev. Lett. 43: 484 (1979).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Curtis G. CallanJr.
    • 1
  1. 1.Physics DepartmentPrinceton UniversityPrincetonUSA

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