Quark confinement in gauge theories of strong interactions
Part of the Lecture Notes in Physics book series (LNP, volume 37)
KeywordsGauge Theory Gauge Transformation Yang Mill Theory Gauge Invariance Gauge Field
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- 1.H. J. Lipkin, Physics Reports, Vol. 8c, Number 3, Aug. 1973Google Scholar
- 2.J. Schwinger, Theoretical Physics (International Atomic Energy Agency, Vienna, 1963) p. 89Google Scholar
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- 5.J. Kogut and L. Susskind, Vacuum Polarization and the Absence of Free Quarks in 4 Dimensions, Phys. Rev. D (to appear)Google Scholar
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- 7.K. G. Wilson, C.L.N.S. 262 (Feb. 1974) to appear Phys. Rev. DGoogle Scholar
- 8.Lattice Gauge Theories have also been studied by Polyakov. Private communication from J. BjorkenGoogle Scholar
- 9.J. Kogut and L. Susskind, Hamiltonian Formulation of Wilson's Lattice Gauge Theories (to appear Phys. Rev. D)Google Scholar
- 10.The process of letting c α → o in a quantum field theory is called renormalization group. The most complete approach to the renormalization group as a computational tool is due to K. G. Wilson. See for example K. G. Wilson and J. Kogut, The Renormalization Group and the ε Expansion, perhaps to appear in Physics Reports CGoogle Scholar
- 11.It is known that in Y. M. theory the running coupling constant can increase as the cutoff distance becomes large. G.'t Hooft, Marseille Conference on Gauge Theories, June 1972, H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973), D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973). Speculations that this effect can account for quark confinement in some way have been made by 't Hooft, Weinberg, Georgi and Glashow and probably many more.Google Scholar
© Springer-Verlag 1975