Analysis of Electromagnetic Mass Shift in Light-Cone Algebra

Fayyazuddin; Riazuddin

doi:10.1103/PhysRevD.8.4635

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Analysis of Electromagnetic Mass Shift in Light-Cone Algebra

Fayyazuddin^*

Riazuddin^†

Rutherford High Energy Laboratory, Chilton, Didcot, Berkshire, England

Institute of Physics, University of Islamabad, Islamabad, Pakistan and Institute for Theoretical Physics, University of Alberta, Edmonton, Canada

^*On leave of absence from Institute of Physics, University of Islamabad, Pakistan. Address after 1 October 1973: Theory Division, CERN, Geneva, Switzerland.
^†Permanent address.

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Phys. Rev. D 8, 4635 – Published 15 December, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.4635

Abstract

Within the framework of light-cone algebra, it is shown that a logarithmic divergence in the electromagnetic mass shift of a hadron arises precisely due to a mass term in the quark propagator. This divergence, therefore, can be removed by mass renormalization. The coefficient of this divergence is a scalar density which transforms as $S_{3}$ for the case of a nucleon. In our analysis, the gauge invariance to order $\frac{1}{q^{2}}$ is explicitly used.

Original Article

Electromagnetic Mass Shift in Light-Cone Algebra

Fayyazuddin and Riazuddin

Phys. Rev. D 8, 510 (1973)

References (5)

Fayyazuddin and Riazuddin, Phys. Rev. D 8, 510 (1973)
A. Zee, Phys. Rep. 3C, 129 (1972)
R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970) H. Pagels, ibid. 3, 610 (1971) ibid.4, 1932(E) (1971) T. D. Lee, in Proceedings of the Amsterdam International Conference on Elementary Particles, 1971, edited by A. G. Tenner and M. Veltman (North-Holland, Amsterdam, 1972)
J. D. Bjorken, Phys. Rev. 148, 1467 (1966) K. Johnson and F. E. Low, Prog. Theor. Phys. Suppl. 37-38, 74 (1966)
D. J. Broadhurst, J. F. Gunion, and R. L. Jaffe, Phys. Rev. D 8, 566 (1973)

[c1] Fayyazuddin and Riazuddin, Phys. Rev. D 8, 510 (1973)

[c2] A. Zee, Phys. Rep. 3C, 129 (1972)

[c3] R. Jackiw, R. Van Royen, and G. B. West, Phys. Rev. D 2, 2473 (1970) H. Pagels, ibid. 3, 610 (1971) ibid.4, 1932(E) (1971) T. D. Lee, in Proceedings of the Amsterdam International Conference on Elementary Particles, 1971, edited by A. G. Tenner and M. Veltman (North-Holland, Amsterdam, 1972)

[c4] J. D. Bjorken, Phys. Rev. 148, 1467 (1966) K. Johnson and F. E. Low, Prog. Theor. Phys. Suppl. 37-38, 74 (1966)

[c5] D. J. Broadhurst, J. F. Gunion, and R. L. Jaffe, Phys. Rev. D 8, 566 (1973)

Physical Review D

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Analysis of Electromagnetic Mass Shift in Light-Cone Algebra

Abstract

Original Article

Electromagnetic Mass Shift in Light-Cone Algebra

References (5)

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