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Prog. Theor. Phys. Vol. 69 No. 6 (1983) pp. 1827-1830

[ Full Text PDF : FREE ACCESS (230K) ]

Letters

Color Confinement and Asymptotic Completeness

Tsuneo Suzuki

Department of Physics, Kanazawa University, Kanazawa 920

(Received February 4, 1983)

Abstract:

We study color-confinement criteria and the quartet mechanism proposed by Kugo and Ojima. Adopting a special gauge, we find that the criteria are not always satisfied in 3+1 dimensional QCD. Niether the criteria nor the quartet mechanism works in compact (QED)2 + 1 and abelian confinement models. Asymptotic completeness and confinement might be incompatible.


URL : http://ptp.ipap.jp/link?PTP/69/1827/
DOI : 10.1143/PTP.69.1827

[ Full Text PDF : FREE ACCESS (230K) ] Citation:

References:

  1. See for example, N. N. Bogoliubov, A. A. Logunov and I. T. Todorov, Introduction to Axiomatic Quantum Field Theory (Benjamin, New York, 1975).
  2. T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. No. 66 (1979), 1[PTP].
  3. K. G. Wilson, Phys. Rev. D 10 (1974), 2445[APS].
  4. T. Suzuki and K. Shimada, Prog. Theor. Phys. 69 (1983), 1537[PTP].
  5. A. M. Polyakov, Nucl. Phys. B 120 (1977), 429[CrossRef].
  6. T. Kugo, Prog. Theor. Phys. 66 (1981), 2249[PTP].
  7. C. Becchi, A. Rouet and R. Stora, Ann. of Phys. 98 (1976), 287[CrossRef].
  8. S. Raby and A. Ukawa, Phys. Rev. D 18 (1978), 1154[APS].
    F. A. Schaposnik, Phys. Rev. D 18 (1978), 1183[APS].
  9. S. Coleman, R. Jackiw and L. Susskind, Ann. of Phys. 93 (1975), 267[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1359-1365 :
    Color Confinement in Quantum Chromodynamics
    Noboru Nakanishi and Izumi Ojima
  2. Progress of Theoretical Physics Vol. 73 No. 4 (1985) pp. 1016-1024 :
    Local-Gauge Commutation Relation for General Gauge Fixing in the Non-Abelian Gauge Theory
    Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 881-888 :
    Indefinite-Metric Quantum Field Theory of General Relativity. XX
    Mitsuo Abe and Noboru Nakanishi
  4. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 889-903 :
    Color Confinement and the Asymptotic Condition
    Kazuhiko Nishijima
  5. Progress of Theoretical Physics Supplement No.86 (1986) pp. 203-207 :
    On the Unification of Quantum Gravity and Particle Physics
    Noboru Nakanishi

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