Sum rules and ultraviolet divergences in a gauge model

T. Hagiwara

doi:10.1103/PhysRevD.11.331

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Sum rules and ultraviolet divergences in a gauge model

T. Hagiwara

Department of Physics, The City College of the City University of New York, New York 10031

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Phys. Rev. D 11, 331 – Published 15 January, 1975

DOI: https://doi.org/10.1103/PhysRevD.11.331

Abstract

By examining an induced neutral-current semileptonic process, $ν + baryon \to ν + baryon$ , in the SO(3) gauge model with strong interactions, we show with the aid of the scaling assumption that the nonexistence of ultraviolet divergences in the process is equivalent to the validity of sum rules dictated by CCC (continuity equations and commutation relations of the currents) of the model.

References (7)

T. Hagiwara, Phys. Rev. D 9, 2813 (1974)
A. Sirlin, Phys. Rev. Lett. 32, 966 (1974)
S. Weinberg, Phys. Rev. D 8, 605 (1973)
K. Fujikawa, B. W. Lee, A. I. Sanda, and S. B. Treiman, Phys. Rev. Lett. 29, 682 (1972) ibid.29, 823(E) (1972)
S. Weinberg, Phys. Rev. 118, 838 (1960)
David Gross at the Summer School in Elementary Particle Physics at Brookhaven National Laboratory, 1970 (unpublished)
Fayyazuddin and Riazuddin, Phys. Rev. D 5, 2641 (1972)

[c1] T. Hagiwara, Phys. Rev. D 9, 2813 (1974)

[c2] A. Sirlin, Phys. Rev. Lett. 32, 966 (1974)

[c3] S. Weinberg, Phys. Rev. D 8, 605 (1973)

[c4] K. Fujikawa, B. W. Lee, A. I. Sanda, and S. B. Treiman, Phys. Rev. Lett. 29, 682 (1972) ibid.29, 823(E) (1972)

[c5] S. Weinberg, Phys. Rev. 118, 838 (1960)

[c6] David Gross at the Summer School in Elementary Particle Physics at Brookhaven National Laboratory, 1970 (unpublished)

[c7] Fayyazuddin and Riazuddin, Phys. Rev. D 5, 2641 (1972)

Physical Review D

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Sum rules and ultraviolet divergences in a gauge model

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References (7)

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