Gauge Fields, Theory of Currents, and Vector Mesons

I. Kimel

doi:10.1103/PhysRevD.3.2084

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Gauge Fields, Theory of Currents, and Vector Mesons

I. Kimel^*

The Enrico Fermi Institute and the Department of Physics, The University of Chicago, Chicago, Illinois 60637

^*Present address: Randal Laboratory of Physics, University of Michigan, Ann Arbor, Mich. 48104.

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Phys. Rev. D 3, 2084 – Published 1 May, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.2084

Abstract

Various forms of the gauge-field model with broken symmetry are studied. It is shown that only symmetry breakings which originate in the kinetic terms lead to models consistent with the algebra of currents, and this requires, in particular, the $ω - ϕ$ mixing to be of current type. Breaking in the mass terms lead to modifications of the algebra, the consequences of which are analyzed. A nonet symmetry model yielding inverse-mass-squared relations is presented, and Sugawara's theory of currents, in relation to the vector mesons, is also studied. The models treated in the paper are compared with experiment.

References (37)

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Omitted endnote
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[c1] M. Gell-Mann, Caltech Report No. CTSL-20, 1961 (unpublished) Y. Ne'eman, Nucl. Phys. 26, 222 (1961) M. Gell-Mann and Y. Ne'eman, The Eightfold Way (Benjamin, New York, 1964)

[c2] M. Gell-Mann, Phys. Rev. 125, 1067 (1962)

[c3] Y. Nambu, Phys. Rev. Letters 4, 380 (1960) M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960) J. Bernstein, S. Fubini, M. Gell-Mann, and W. Thirring, ibid. 17, 757 (1960)

[c4] J. J. Sakurai, Ann. Phys. (N.Y.) 11, 1 (1960)

[c5] M. Gell-Mann and F. Zachariasen, Phys. Rev. 124, 953 (1961)

[c6] N. M. Kroll, T. D. Lee, and B. Zumino, Phys. Rev. 157, 1376 (1967)

[c7] T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967)

[c8] H. Sugawara, Phys. Rev. 170, 1659 (1968) C. M. Sommerfield, ibid. 176, 2019 (1968)

[c9] K. Bardakci, Y. Frishman, and M. B. Halpern, Phys. Rev. 170, 1353 (1968)

[c10] H. Sugawara, Phys. Rev. Letters 21, 772 (1968)

[c11] I. Kimel, Phys. Rev. 181, 2152 (1969)

[c12] J. J. Sakurai, Phys. Rev. 132, 434 (1963) S. L. Glashow, Phys. Rev. Letters 11, 48 (1963)

[c13] I. Kimel, Phys. Rev. Letters 21, 177 (1968)

[c14] K. Kang, Phys. Rev. 177, 2439 (1969)

[c15] C. N. Yang and R. L. Mills, Phys. Rev. 96, 191 (1954)

[c16] Omitted endnote

[c17] J. Schwinger, in Theoretical Physics, edited by A. Salam (IAEA, Vienna, 1963)

[c18] Omitted endnote

[c19] [6]

[c20] [7]

[c21] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c22] Omitted endnote

[c23] Omitted endnote

[c24] S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)

[c25] M. Gourdin, in lectures delivered at the International Conference on Quark Models, Wayne State University, Detroit, 1969 (unpublished)

[c26] R. J. Oakes and J. J. Sakurai, Phys. Rev. Letters 19, 1266 (1967)

[c27] T. Das, V. S. Mathur, and S. Okubo, Phys. Rev. Letters 19, 470 (1967)

[c28] Omitted endnote

[c29] S. Okubo, in Proceedings of the International Theoretical Physics Conference on Particles and Fields, Rochester, N. Y., 1967, edited by C. R. Hagen (Interscience, New York, 1968)

[c30] F. Bucella et al., Phys. Rev. 149, 1268 (1966) K. Johnson and F. E. Low, Progr. Theoret. Phys. (Kyoto) Suppl. 37-38, 74 (1966)

[c31] E. Cremmer, Nucl. Phys. B15, 131 (1970)

[c32] S. Okubo, Phys. Letters 5, 165 (1963)

[c33] J. E. Augustin et al., Phys. Letters 28B, 503 (1969)

[c34] J. E. Augustin et al., Phys. Letters 28B, 508 (1969) ibid.28B, 513 (1969) ibid.28B, 517 (1969) , Nuovo Cimento Letters 2, 214 (1969) J. Haissinski, in Proceedings of the Conference on $π π$ and $K π$ Interactions, Argonne, 1969 (unpublished)

[c35] J. Perez-y-Jorba, in Proceedings of the Fourth International Symposium on Electron and Photon Interactions at High Energies, Liverpool, England, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Lancashire, England, 1970)

[c36] [25]

[c37] A. Barbaro-Galtieri et al., Rev. Mod. Phys. 42, 87 (1970)

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Gauge Fields, Theory of Currents, and Vector Mesons

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