Abstract
I am going to present a formulation 1 of QCD which leads to the much speculated about string-like quantized electric flux tubes. My approach is heavily based on a new set of quantized variables. The new variables satisfy commutation rules which are equivalent to the canonical commutation rules of the ordinary gauge potential and electric field in an axial gauge. The latter variables are explicitly constructed in terms of the new variables.
Alfred P. Sloan Foundation Fellow
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Footnotes and References
I. Bars, Phys. Rev. Letters, March 1978.
K. Wilson, Phys. Rev. D.10,2445, (l974) J. Kogut and L. Suskind, Phys. Rev. Dll, 395, (l975)
R. L. Arnowitt and S. I. Fickler, Phys. Rev. 127, 1821, (1962) J. Schwinger, Phys. Rev. 130, 402, (1963) W. Kijiimier, Acta Physica Austríaca 14, lii9, (1961) R. N. Mohapatra, Phys. Rev. J)h, 2215, (l97l) W. Konetschny and W. Kummer, Nucl. Phys. BlOO, IO6, (1975) and references contained therein.
I. Bars and M. B. Green, Phys. Rev. D. Jan (1978). I. Bars and Frederic Green, in preparation.
V. N. Gribov, Lecture at the 12th Winter School, Leningrad Nuclear Physics Institute (1977). English translations can be found in J. Bartels and W. Nahm, CERN preprint, and in SLAC-Trans. I76. See also the lectures by H. Pagels and R. Jackiw in this conference and references contained therein.
J. Schwinger in ref. (3), and more recently S. Mandelstam in notes from APS Washington meeting (1977). See also W. A. Bardeen and R. Pearson Phys. Rev. Dl4, 547, (1976), who arrive at similar conditions from different arguments.
Alan Chodos, Canonical Quantization of Non-Abelian Gauge Theories in Axial Gauge, Yale Report COO-3075–183.
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Bars, I. (1978). Quantized Electric Flux Tubes in QCD. In: Perlmutter, A., Scott, L.F. (eds) New Frontiers in High-Energy Physics. Studies in the Natural Sciences, vol 14. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2865-0_25
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