Vector Currents and Current Algebra. III. Dual-Resonance Model with Universally Coupled Vector Mesons

Richard C. Brower; J. H. Weis

doi:10.1103/PhysRevD.3.451

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Vector Currents and Current Algebra. III. Dual-Resonance Model with Universally Coupled Vector Mesons

Richard C. Brower

J. H. Weis^*

Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

^*National Science Foundation Predoctoral Fellow. Present address: Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Mass.

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Phys. Rev. D 3, 451 – Published 15 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.451

Abstract

We extend the model for conserved vector currents in the dual-resonance model to include the infinite set of universally coupled vector mesons. One- and two-current amplitudes satisfying current algebra and factorizing on the $M$ highest trajectories are constructed for a form factor falling like ${(q^{2})}^{- M}$ . Physically acceptable completely factorized amplitudes are not obtained in the limit $M \to \infty$ , however. Complete factorization and unsubtracted dispersion relations in $q^{2}$ for single-current amplitudes are shown to indeed imply exponentially falling form factors. However, we then prove that no acceptable completely factorized two-current amplitudes can be constructed from a current coupling only to the universal vector mesons.

References (30)

D. Sivers and J. Yellin, Rev. Mod. Phys. (to be published)
R. C. Brower and J. H. Weis, Phys. Rev. 188, 2486 (1969) ibid.188, 2495 (1969)
Omitted endnote
Omitted endnote
Omitted endnote
M. Bander, Nucl. Phys. B13, 587 (1969)
H. Sugawara, Tokyo University of Education report, 1969 (unpublished) I. Ohba, Progr. Theoret. Phys. (Kyoto) 42, 432 (1969)
M. Ademollo and E. del Giudice, Nuovo Cimento 63A, 639 (1969)
R. C. Brower, A. Rabl, and J. H. Weis, Nuovo Cimento 65A, 654 (1970)
D. Z. Freedman, Phys. Rev. D 1, 1133 (1970)
Chan Hong-Mo and J. Paton, Nucl. Phys. B10, 516 (1969)
Omitted endnote
K. Bardakci and S. Mandelstam, Phys. Rev. 184, 1640 (1969) S. Fubini and G. Veneziano, Nuovo Cimento 64A, 811 (1969) M. A. Virasoro [Phys. Rev. D 1, 2933 (1970)]
S. Fubini, D. Gordon, and G. Veneziano, Phys. Letters 29B, 679 (1969) Y. Nambu, University of Chicago report, 1969 (unpublished) L. Susskind, Phys. Rev. D 1, 1182 (1970)
R. C. Brower and J. H. Weis, Nuovo Cimento Letters 3, 285 (1970)
Omitted endnote
[9], Sec. IV
M. Damashek and F. C. Gilman, Phys. Rev. D 1, 1319 (1970)
C. B. Chiu, S. Matsuda, and C. Rebbi, Phys. Rev. Letters 23, 1526 (1969) F. Gliozzi, Nuovo Cimento Letters 2, 846 (1969) C. B. Thorn, Phys. Rev. D 1, 1693 (1970) M. A. Virasoro, ibid. 1, 2933 (1970)
R. C. Brower and M. B. Halpern, Phys. Rev. 182, 1779 (1969)
S. Fubini and G. Veneziano (private communication) L. Susskind [Phys. Rev. D 1, 1182 (1970)]
[18]
Omitted endnote
Omitted endnote
Omitted endnote
[2] ([14]) B. Hasslacher and D. K. Sinclair, Nuovo Cimento Letters 4, 515 (1970)
S. Fubini and G. Veneziano, Nuovo Cimento 67A, 29 (1970)
[9] J. H. Weis, LRL Report No. UCRL 19780, 1970 (unpublished)
([10]) [7]
M. Kaku and C. B. Thorn, Phys. Rev. D 1, 2860 (1970)

[c1] D. Sivers and J. Yellin, Rev. Mod. Phys. (to be published)

[c2] R. C. Brower and J. H. Weis, Phys. Rev. 188, 2486 (1969) ibid.188, 2495 (1969)

[c3] Omitted endnote

[c4] Omitted endnote

[c5] Omitted endnote

[c6] M. Bander, Nucl. Phys. B13, 587 (1969)

[c7] H. Sugawara, Tokyo University of Education report, 1969 (unpublished) I. Ohba, Progr. Theoret. Phys. (Kyoto) 42, 432 (1969)

[c8] M. Ademollo and E. del Giudice, Nuovo Cimento 63A, 639 (1969)

[c9] R. C. Brower, A. Rabl, and J. H. Weis, Nuovo Cimento 65A, 654 (1970)

[c10] D. Z. Freedman, Phys. Rev. D 1, 1133 (1970)

[c11] Chan Hong-Mo and J. Paton, Nucl. Phys. B10, 516 (1969)

[c12] Omitted endnote

[c13] K. Bardakci and S. Mandelstam, Phys. Rev. 184, 1640 (1969) S. Fubini and G. Veneziano, Nuovo Cimento 64A, 811 (1969) M. A. Virasoro [Phys. Rev. D 1, 2933 (1970)]

[c14] S. Fubini, D. Gordon, and G. Veneziano, Phys. Letters 29B, 679 (1969) Y. Nambu, University of Chicago report, 1969 (unpublished) L. Susskind, Phys. Rev. D 1, 1182 (1970)

[c15] R. C. Brower and J. H. Weis, Nuovo Cimento Letters 3, 285 (1970)

[c16] Omitted endnote

[c17] [9], Sec. IV

[c18] M. Damashek and F. C. Gilman, Phys. Rev. D 1, 1319 (1970)

[c19] C. B. Chiu, S. Matsuda, and C. Rebbi, Phys. Rev. Letters 23, 1526 (1969) F. Gliozzi, Nuovo Cimento Letters 2, 846 (1969) C. B. Thorn, Phys. Rev. D 1, 1693 (1970) M. A. Virasoro, ibid. 1, 2933 (1970)

[c20] R. C. Brower and M. B. Halpern, Phys. Rev. 182, 1779 (1969)

[c21] S. Fubini and G. Veneziano (private communication) L. Susskind [Phys. Rev. D 1, 1182 (1970)]

[c22] [18]

[c23] Omitted endnote

[c24] Omitted endnote

[c25] Omitted endnote

[c26] [2] ([14]) B. Hasslacher and D. K. Sinclair, Nuovo Cimento Letters 4, 515 (1970)

[c27] S. Fubini and G. Veneziano, Nuovo Cimento 67A, 29 (1970)

[c28] [9] J. H. Weis, LRL Report No. UCRL 19780, 1970 (unpublished)

[c29] ([10]) [7]

[c30] M. Kaku and C. B. Thorn, Phys. Rev. D 1, 2860 (1970)

Physical Review D

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Vector Currents and Current Algebra. III. Dual-Resonance Model with Universally Coupled Vector Mesons

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Vector Currents and Current Algebra. I. Duality and Zero-Width Models

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