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Instantons and the 1/N expansion

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Zeitschrift für Physik C Particles and Fields

Abstract

We show that a non-interacting gas of instantons, gives a contribution which vanishes, in QCD, exponentially withN(the number of colours). If we include some of the interactions between instantons, then the resulting dilute gas of instantons—which is now in the form that is used in practice to investigate the structure of hadrons—gives a contribution that is essentialyconstant withN. Thus it is entirely consistent for both theN → ∞ limit to be useful and for the dilute gas of instantons to be relevant for the properties of hadrons.

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References

  1. A.M. Polyakov: Phys. Lett.59B, 82 (1975)

    Google Scholar 

  2. A. Belavin et al.: Phys. Lett.59B, 85 (1975) S. Coleman: Uses of Instantons HUTP-78/A004

    Google Scholar 

  3. G. t'Hooft: Phys. Rev. Lett.37, 8 (1976); Phys. Rev.D14. 3432 (1976)

    Google Scholar 

  4. A.M. Polyakov: Nucl. Phys.B 120, 429 (1977)

    Google Scholar 

  5. C. Callan, R. Dashen, D. Gross: Phys. Lett.63B, 334 (1976)

    Google Scholar 

  6. C. Callan, R. Dashen, D. Gross: Phys. Rev.D 17, 2717 (1978); Phys. Rev.D19, 1826 (1979); Semiclassical methods in QCD: towards a theory of hadron structure—Princeton preprint and AIP conference proceedings No. 55.

    Google Scholar 

  7. E. Witten: Nucl. Phys.B 149, 285 (1979)

    Google Scholar 

  8. E. Witten: Baryons in the 1/N expansion HUTP-79/A007

  9. B. Berg, M. Lüscher: DESY preprint 79/17

  10. E. Corrigan, D. Fairlie, P. Goddard, S. Templeton: Nucl. Phys.B140, 31 (78)

  11. E. Corrigan, P. Goddard, H. Osborn S. Templeton: Nucl. Phys.B159, 469 (79)

  12. H. Osborn: Nucl. Phys.B159, 497 (79)

  13. J. Koplik, A. Neveu, S. Nussinov: Nucl. Phys.B 123, 109 (1977)

    Google Scholar 

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Authors and Affiliations

  1. Rutherford Laboratory, Chilton, OX11 OQX, Didcot, Oxon, UK

    M. J. Teper

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  1. M. J. Teper
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Teper, M.J. Instantons and the 1/N expansion. Z. Phys. C - Particles and Fields 5, 233–237 (1980). https://doi.org/10.1007/BF01421781

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  • DOI: https://doi.org/10.1007/BF01421781

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