Current-Algebra Sum Rules in Neutrino Scattering and Scale Dimension of the Chiral-Symmetry-Breaking Hamiltonian

Fayyazuddin; Riazuddin

doi:10.1103/PhysRevD.5.2641

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Current-Algebra Sum Rules in Neutrino Scattering and Scale Dimension of the Chiral-Symmetry-Breaking Hamiltonian

Fayyazuddin

Riazuddin^*,†

Institute of Physics, University of Islamabad, Islamabad, Pakistan

Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

^*Supported in part by the National Science Foundation, Center for Theoretical Physics, under Grant No. NSF GU 2061.
^†On leave of absence from the Institute of Physics, University of Islamabad, Islamabad, Pakistan.

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Phys. Rev. D 5, 2641 – Published 15 May, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.2641

Abstract

Current-algebra sum rules for the structure functions $W_{4}$ and $W_{5}$ which occur in neutrino scattering because of the nonconservation of the axial-vector current are derived and used to get information about the scaling behavior of $W_{4}$ and $W_{5}$ . This information together with the light-come analysis is used to determine the scale dimension of the chiral-symmetry-breaking Hamiltonian.

References (12)

Fayyazuddin and Riazuddin, University of Maryland Technical Report No. 72-034, 1971 (unpublished)
M. Gell-Mann, in Proceedings of the Third Hawaii Topical Conference on Particle Physics, edited by S. F. Tuan (Western Periodicals, North Hollywood, Calif., 1969)
R. A. Brandt and G. Preparata, Nucl. Phys. B27, 541 (1971) Y. Frishman, Phys. Rev. Letters 25, 966 (1970)
H. Fritzsch and M. Gell-Mann, in Broken Scale Invariance and the Light Come, Proceedings of the 1971 Coral Gables Conference on Fundamental Interactions at High Energy, Vol. 2, edited by M. Dal Cin, G. J. Iverson, and A. Perlmutter (Gordon and Breach, New York, 1971)
J. Mandula, A. Schwimmer, J. Weyers, and G. Zweig, Phys. Letters 37B, 109 (1971)
J. D. Stack, Caltech report (unpublished)
S. Rai Choudhury and R. Rajaraman, Phys. Rev. D 2, 2728 (1970) J. M. Cornwall, D. Corrigan, and R. E. Norton, Phys. Rev. Letters 24, 1141 (1970) R. Rajaraman and G. Rajasekaran, Phys. Rev. D 3, 2661 (1971) Stack, [6]
S. L. Adler, Phys. Rev. 143, 1144 (1966) J. D. Bjorken, ibid. 163, 1767 (1967)
B. W. Lee and J. Mandula, Phys. Rev. D 4, 3475 (1971)
M. G. Doncel and E. de Rafael, Nuovo Cimento 4A, 363 (1971)
K. G. Wilson, Phys. Rev. 179, 1499 (1969)
S. G. Brown, Phys. Rev. Letters 27, 347 (1971)

[c1] Fayyazuddin and Riazuddin, University of Maryland Technical Report No. 72-034, 1971 (unpublished)

[c2] M. Gell-Mann, in Proceedings of the Third Hawaii Topical Conference on Particle Physics, edited by S. F. Tuan (Western Periodicals, North Hollywood, Calif., 1969)

[c3] R. A. Brandt and G. Preparata, Nucl. Phys. B27, 541 (1971) Y. Frishman, Phys. Rev. Letters 25, 966 (1970)

[c4] H. Fritzsch and M. Gell-Mann, in Broken Scale Invariance and the Light Come, Proceedings of the 1971 Coral Gables Conference on Fundamental Interactions at High Energy, Vol. 2, edited by M. Dal Cin, G. J. Iverson, and A. Perlmutter (Gordon and Breach, New York, 1971)

[c5] J. Mandula, A. Schwimmer, J. Weyers, and G. Zweig, Phys. Letters 37B, 109 (1971)

[c6] J. D. Stack, Caltech report (unpublished)

[c7] S. Rai Choudhury and R. Rajaraman, Phys. Rev. D 2, 2728 (1970) J. M. Cornwall, D. Corrigan, and R. E. Norton, Phys. Rev. Letters 24, 1141 (1970) R. Rajaraman and G. Rajasekaran, Phys. Rev. D 3, 2661 (1971) Stack, [6]

[c8] S. L. Adler, Phys. Rev. 143, 1144 (1966) J. D. Bjorken, ibid. 163, 1767 (1967)

[c9] B. W. Lee and J. Mandula, Phys. Rev. D 4, 3475 (1971)

[c10] M. G. Doncel and E. de Rafael, Nuovo Cimento 4A, 363 (1971)

[c11] K. G. Wilson, Phys. Rev. 179, 1499 (1969)

[c12] S. G. Brown, Phys. Rev. Letters 27, 347 (1971)

Physical Review D

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Current-Algebra Sum Rules in Neutrino Scattering and Scale Dimension of the Chiral-Symmetry-Breaking Hamiltonian

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