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Does Quantum Chromodynamics Imply Confinement?

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Abstract

The mechanism of permanent quark confinement in Quantum Chromodynamics is cast in a language that might enable one to perform more detailed dynamical calculations. The choice of gauge condition and the topological features added to the theory by fixing the gauge are crucial in this description. However, it also becomes clear that in spite of its popularity Quantum Chromodynamics has an “identity problem”: the theory still has no sound mathematical basis. We speculate on remedies that one can envisage in the future.

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References

  1. H. B. Nielsen and P. Olesen, Nucl. Phys. B61 (1973) 45

    Article  ADS  Google Scholar 

  2. B. Zumino, in Renormalization and Invariance in Quantum Field Theory, p 367. Edited by E. R. Caianiello, Plenum, New York, 1974.

    Chapter  Google Scholar 

  3. G.’ t Hooft, Nucl. Phys. B138 (1978) 1; B153 (1979) 141.

    Article  ADS  Google Scholar 

  4. G. S. La Rue, W. M. Fairbank and A. F. Hebard, Phys. Rev. Letters 38 (1977) 1011; 42 (1979) 142, 1019E; 46 (1981) 967.

    Article  ADS  Google Scholar 

  5. R. Slansky et al, Los Alamos preprint LA-UR-81-1378 (1981).

    Google Scholar 

  6. M. F. Atiyah, in Recent Develpments in Gauge Theories, Cargese 1979, p. 1. Edited by G.’ t Hooft et al, Plenum, New York and London. R. Bott, ibid., p. 7.

    Google Scholar 

  7. M. F. Atiyah and J. D. S. Jones, Commun. Math. Phys. 61 (1978) 97.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. G.’ t Hooft and M. Veltman, Nucl. Phys. B50 (1972) 318;DIAGRAMMAR, Cern report 73/9 (1973)

    Article  ADS  Google Scholar 

  9. M. Georgi and S. L. Glashow, Phys. Rev. Lett. 28 (1972) 1494.

    Article  ADS  Google Scholar 

  10. A. M. Polyakov, JETP Lett. 20 (1974) 194.

    ADS  Google Scholar 

  11. G.’ t Hooft, Nucl. Phys. B79 (1974) 194.

    Google Scholar 

  12. G.’ t Hooft, Nucl. Phys. B190[FS3] (1981) 455.

    Article  ADS  Google Scholar 

  13. P. A. M. Dirac, Proc. Roy. Soc. A133 (1931) 60; Phys. Rev. 74 (1948) 817.

    Article  ADS  Google Scholar 

  14. G.’ t Hooft, Nucl. Phys. B72 (1974) 461.

    ADS  Google Scholar 

  15. E. Berezin et al, Commun. Math. Phys. 59 (1978) 35.

    Article  MathSciNet  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, University of Utrecht, Postbox 80.006, 3508 TA, Utrecht, The Netherlands

    Gerard’ T. Hooft

Authors
  1. Gerard’ T. Hooft
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Editor information

Editors and Affiliations

  1. University of Southern California, Los Angeles, California, USA

    Itzhak Bars

  2. Yale University, New Haven, Connecticut, USA

    Alan Chodos  & Chia-Hsiung Tze  & 

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© 1984 Springer Science+Business Media New York

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Hooft, G.T. (1984). Does Quantum Chromodynamics Imply Confinement?. In: Bars, I., Chodos, A., Tze, CH. (eds) Symmetries in Particle Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-5313-1_3

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  • DOI: https://doi.org/10.1007/978-1-4899-5313-1_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-5315-5

  • Online ISBN: 978-1-4899-5313-1

  • eBook Packages: Springer Book Archive

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