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Prog. Theor. Phys. Vol. 72 No. 2 (1984) pp. 294-312

[ Full Text PDF : FREE ACCESS (1040K) ]

Confinement versus Non-Confinement and BRS Transformation

Kazuhiko Nishijima and Yasuhiro Okada

Department of Physics, University of Tokyo, Tokyo 113

(Received January 30, 1984)

Abstract:

By utilizing the BRS transformation it is shown in the conventional continuum gauge theory that a sufficient condition for the confinement of colored particles is given by the existence of massless bound states of a pair of Faddeev-Popov ghosts.
It is also shown in a GUT that some of these bound states cease to exist when the symmetry implied by the global gauge group is spontaneously broken leaving the color SU(3) subgroup unbroken. This serevs to explain why leptons and electroweak gauge bosons are not confined even when quarks and gluons are confined.


URL : http://ptp.ipap.jp/link?PTP/72/294/
DOI : 10.1143/PTP.72.294

[ Full Text PDF : FREE ACCESS (1040K) ] Citation:

References:

  1. H. Fritsch, M. Gell-Mann and H. Leutwyler, Phys. Lett. 47B (1973), 365.
  2. K. Wilson, Phys. Rev. D10 (1974), 2445[APS].
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    See also a similar approach by
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    b) T. Kugo, Phys. Lett. 83B (1979), 93.
  6. K. Nishijima, Phys. Lett. 116B (1982), 295.
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  12. A similar equation has been obtained in a different context by H. Hata, Prog. Theor. Phys. 67 (1982), 1607[PTP].
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 631-640 :
    Confinement and Hadronization Based on BRS Algebra
    Kazuhiko Nishijima
  2. Progress of Theoretical Physics Vol. 72 No. 6 (1984) pp. 1214-1224 :
    Representations of BRS Algebra in the Landau Gauge
    Kazuhiko Nishijima
  3. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 889-903 :
    Color Confinement and the Asymptotic Condition
    Kazuhiko Nishijima
  4. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1221-1230 :
    Color Confinement and the Asymptotic Condition. II
    Kazuhiko Nishijima
  5. Progress of Theoretical Physics Vol. 120 No. 3 (2008) pp. 455-471 :
    Bound States of the Faddeev-Popov Ghost in Euclidean Gauge Theories
    Hirohumi Sawayanagi
  6. Progress of Theoretical Physics Supplement No.86 (1986) pp. 253-260 :
    Color Confinement and the Number of Generations
    Kazuhiko Nishijima

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