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The quark-quark interaction in the nonrelativistic and in the lattice approximation

  • F. Palumbo
Chapter 1. Hadrons from Quantum Chromodynamical Lattice Approximation
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Part of the Lecture Notes in Physics book series (LNP, volume 197)

Abstract

The Galilean Hamiltonian for QCD is presented and illustrated. In a small quantization box such Hamiltonian exhibits a confining potential which, however, is a finite size effect, becoming purely Coulombic for infinite quantization volume. This does not necessarily imply absence of confinement in Galilean QCD, and a possible mechanism for confinement is discussed, suggested by the exact solution of the infrared sector in Galilean QED.

Finally the derivation of classical Galilean gauge theories and their quantization are sketched.

References

  1. 1).
    F. Palumbo, to be published.Google Scholar
  2. 2).
    F. Palumbo, Phys. Letters B132, 165 (1983).Google Scholar
  3. 3).
    F. Palumbo, in “Mesons, Isobars, Quarks and Nuclear Excitations” Erice 6–18 Aprile 1983.Google Scholar
  4. 4).
    G. De Franceschi and F. Palumbo, in preparation.Google Scholar
  5. 5).
    F. Palumbo and G. Pancheri, in preparation.Google Scholar
  6. 6).
    F. Palumbo, Nuclear Phys. B182, 261 (1981).Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • F. Palumbo
    • 1
  1. 1.INFN - Laboratori Nazionali di FrascatiFrascatiItaly

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