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
H. B. Nielsen and P. Olesen, Nucl. Phys. B61 (1973) 45
B. Zumino, in Renormalization and Invariance in Quantum Field Theory, p 367. Edited by E. R. Caianiello, Plenum, New York, 1974.
G.’ t Hooft, Nucl. Phys. B138 (1978) 1; B153 (1979) 141.
G. S. La Rue, W. M. Fairbank and A. F. Hebard, Phys. Rev. Letters 38 (1977) 1011; 42 (1979) 142, 1019E; 46 (1981) 967.
R. Slansky et al, Los Alamos preprint LA-UR-81-1378 (1981).
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.
M. F. Atiyah and J. D. S. Jones, Commun. Math. Phys. 61 (1978) 97.
G.’ t Hooft and M. Veltman, Nucl. Phys. B50 (1972) 318;DIAGRAMMAR, Cern report 73/9 (1973)
M. Georgi and S. L. Glashow, Phys. Rev. Lett. 28 (1972) 1494.
A. M. Polyakov, JETP Lett. 20 (1974) 194.
G.’ t Hooft, Nucl. Phys. B79 (1974) 194.
G.’ t Hooft, Nucl. Phys. B190[FS3] (1981) 455.
P. A. M. Dirac, Proc. Roy. Soc. A133 (1931) 60; Phys. Rev. 74 (1948) 817.
G.’ t Hooft, Nucl. Phys. B72 (1974) 461.
E. Berezin et al, Commun. Math. Phys. 59 (1978) 35.
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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
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