Abstract
We review the equivalence of the two-flavor Skyrme-Witten model and the two-flavor large-N c quark model. The claimed equivalence for three flavorsbetween these two models is shown to be incorrectly given in the literature, and the properly equivalent extended three-flavor large-N c quark model is constructed and discussed.
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References
G. 't Hooft,Nucl. Phys. B 72, 461 (1974);75, 461 (1974).
E. Witten,Nucl. Phys. B 223, 422 (1983);223, 433 (1983).
T. H. R. Skyrme,Proc. R. Soc. London A 260, 127 (1961);Nucl. Phys. 31, 556 (1962).
A. Hayashi, G. Eckart, G. Holzwarth, and H. Walliser,Phys. Lett. B 147, 5 (1984); M. P. Mattis and M. Peskin,Phys. Rev. D 32, 58 (1985); M. P. Mattis,Phys. Rev. Lett. 56, 1103 (1986); M. Karliner and M. P. Mattis,Phys. Rev. D 34, 1991 (1986).
J. T. Donohue,Phys. Rev. Lett. 58, 3 (1987);Phys. Rev. D 37, 631 (1988);40, 1679 (1989).
M. P. Mattis and E. Braaten,Phys. Rev. D 39, 2737 (1989).
G. Karl and J. E. Paton,Phys. Rev. D 30, 238 (1984); A. V. Manohar,Nucl. Phys. B 248, 19 (1984); G. Karl, J. Patera, and S. Perantonis,Phys. Lett. B 172, 49 (1986).
G. Adkins, C. Nappi, and E. Witten,Nucl. Phys. B 228, 552 (1983); L. C. Biedenharn, Y. Dothan, and A. Stern,Phys. Lett. D 146, 289 (1984); E. Guadagnini,Nucl. Phys. B 236, 35 (1984); G. S. Adkins and C. Nappi,Nucl. Phys. B 249, 507 (1985).
Yossef Dothan and L. C. Biedenharn, “Old models never die: The revival of the Skyrme model,”Comments Nucl. Part. Phys. (Gordon & Breach, New York, 1987), Vol. 17, pp. 63–91.
L. C. Biedenharn and J. D. Louck,Angular Momentum in Quantum Physics (Cambridge University Press, Cambridge, 1981).
L. C. Biedenharn, A. Giovannini, and J. D. Louck,Math. Phys. 8, 691 (1967), cf. Lemma 1.
L. C. Biedenharn and Yossef Dothan, “Monopolar harmonics inSU(3) f as eigenstates of the Skyrme-Witten model for baryons,” inFrom SU3 to Gravity (Ne'eman Festschrift) (Cambridge University Press, Cambridge, 1986), pp. 19–34.
L. C. Biedenharn and J. D. Louck, inEncyclopedia Mathematica, G. C. Rota, ed. (Addison-Wesley, Reading, Massachusetts, 1981), Vol. 9, pp. 201ff.
J. W. Milnor and J. D. Stasheff,Characteristic Classes (Princeton University Press, Princeton, 1974); N. Steenrod,Topology of Fiber Bundles (Princeton University Press, Princeton, 1951).
Sultan Catto, “Colored supersymmetry of mesons and baryons based on octonionic algebras,” inSymmetries in Science VI: From the Rotation Group to Quantum Algebras, Bruno Gruber, ed. (Plenum, New York, 1993).
M. P. Mattis and J. Mukerjee,Phys. Rev. Lett. 61, 1344 (1988).
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Dedicated to Professor Fritz Rohrlich on his 70th birthday.
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Biedenharn, L.C., Horwitz, L.P. On the equivalence of the Skyrme-Witten model and large-N c quark models. Found Phys 24, 401–417 (1994). https://doi.org/10.1007/BF02058100
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DOI: https://doi.org/10.1007/BF02058100