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Prog. Theor. Phys. Vol. 81 No. 1 (1989) pp. 229-240

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An Infrared Effective Theory of Quark Confinement Based on Monopole Condensation

Shinji Maedan and Tsuneo Suzuki*

Department of Physics, Kanazawa University, Kanazawa 920
and
*Departamento de Física, Pontifícia Universidade Católica, C. P. 38071, 22453, Rio de Janeiro, RJ

(Received August 3, 1988)

Abstract:

We propose an infrared effective theory of quark confinement developing the 't Hooft's idea of abelian projection. QCD is regarded as a U(1) ×U(1) abelian gauge theory with magnetic monopoles. The effective theory contains dual abelian vector fields and complex scalar monopole fields in addition to quarks and gluons. A static potential between quarks or between gluons is mainly composed of the linear and the Yukawa interaction. A relation VQQ = VQQ/2 is derived with regard to the static potentials of quark-quark and quark-antiquark. Our model predicts the existence of neutral axial-vector bosons and heavy scalar bosons both of which are not composed of quarks.


URL : http://ptp.ipap.jp/link?PTP/81/229/
DOI : 10.1143/PTP.81.229

[ Full Text PDF : FREE ACCESS (524K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 81 No. 4 (1989) pp. 752-757 :
    Abelian Confinement Mechanism in QCD
    Tsuneo Suzuki
  2. Progress of Theoretical Physics Vol. 84 No. 1 (1990) pp. 130-141 :
    Abelian Confinement Mechanism and the QCD Vacuum
    Shinji Maedan, Yoshimi Matsubara and Tsuneo Suzuki
  3. Progress of Theoretical Physics Vol. 90 No. 2 (1993) pp. 379-404 :
    Chiral Symmetry and Quark-Antiquark Pair Creation in a Strong Color-Electromagnetic Field
    Hideo Suganuma and Toshitaka Tatsumi
  4. Progress of Theoretical Physics Vol. 94 No. 3 (1995) pp. 373-384 :
    Dual Ginzburg-Landau Theory with QCD-Monopoles for Dynamical Chiral-Symmetry Breaking
    Shoichi Sasaki, Hideo Suganuma and Hiroshi Toki
  5. Progress of Theoretical Physics Vol. 98 No. 6 (1997) pp. 1345-1354 :
    Inter-Meson Potentials in Dual Ginzburg-Landau Theory
    Hiroaki Kodama, Yoshimi Matsubara, Shigeyoshi Ohno and Tsuneo Suzuki
  6. Progress of Theoretical Physics Vol. 101 No. 3 (1999) pp. 721-747 :
    Bethe-Salpeter Approach for Mesons in the Pion Channel within the Dual Ginzburg-Landau Theory
    Kensuke Kusaka Tsutomu Sakai and Hiroshi Toki
  7. Progress of Theoretical Physics Vol. 107 No. 2 (2002) pp. 403-420 :
    Dressed Quark Propagator at Finite Temperature in the Schwinger-Dyson Approach with the Rainbow Approximation
    Takashi Ikeda
  8. Progress of Theoretical Physics Supplement No.120 (1995) pp. 7-23 :
    Monopoles and Quark Confinement
    Tsuneo Suzuki
  9. Progress of Theoretical Physics Supplement No.120 (1995) pp. 57-73 :
    Dual Higgs Mechanism for Quarks in Hadrons
    Hideo Suganuma, Shoichi Sasaki, Hiroshi Toki and Hiroko Ichie
  10. Progress of Theoretical Physics Supplement No.122 (1996) pp. 75-83 :
    Monopole Dynamics and Confinement in SU(2) QCD
    Tsuneo Suzuki
  11. Progress of Theoretical Physics Supplement No.129 (1997) pp. 227-230 :
    Confinement Mechanism and Chiral Phase Transition in the Non-Perturbative Vacuum of QCD
    Shoichi Sasaki, Hideo Suganuma and Hiroshi Toki
  12. Progress of Theoretical Physics Supplement No.131 (1998) pp. 243-255 :
    Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
    Kei-Ichi Kondo
  13. Progress of Theoretical Physics Supplement No.131 (1998) pp. 257-267 :
    Dual Ginzburg-Landau Theory on Non-Perturbative QCD Phenomena
    Hiroshi Toki
  14. Progress of Theoretical Physics Supplement No.131 (1998) pp. 633-644 :
    Low-Energy Effective Theories from QCD
    Tsuneo Suzuki
  15. Progress of Theoretical Physics Supplement No.138 (2000) pp. 34-35 :
    Finite Temperature Phase Transition and Monopole Action in SU(2) QCD
    Katsuya Ishiguro, Yasutake Nakatani and Tsuneo Suzuki
  16. Progress of Theoretical Physics Supplement No.138 (2000) pp. 36-37 :
    Gauge Independence of Abelian and Monopole Dominances in QCD
    Shouji Fujimoto, Seikou Kato, Tsuneo Suzuki and Tomohiro Tsunemi
  17. Progress of Theoretical Physics Supplement No.138 (2000) pp. 38-39 :
    String Tension and Glueball Masses of SU(2) QCD from Perfect Action for Monopoles and Strings
    Seikou Kato, Shouji Fujimoto, Michika Murata and Tsuneo Suzuki
  18. Progress of Theoretical Physics Supplement No.138 (2000) pp. 45-46 :
    Gauge Boson Propagator in Gluodynamics
    Maxim N. Chernodub, Mikhail I. Polikarpov and Valentin I. Zakharov