Little-group classification of gauge fields

L. Castillejo; M. Kugler; R. Z. Roskies

doi:10.1103/PhysRevD.19.1782

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Little-group classification of gauge fields

L. Castillejo^* and M. Kugler^†

R. Z. Roskies

Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

^*On leave from University College, London, England.
^†On leave from the Weizmann Institute, Rehovot, Israel.

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Phys. Rev. D 19, 1782 – Published 15 March, 1979

DOI: https://doi.org/10.1103/PhysRevD.19.1782

Abstract

We propose a new way to treat the classification of the Yang-Mills gauge fields at one space-time point. Our main tool is to consider the structure of the little group which leaves the field invariant. This approach reproduces the standard classification of the Weyl tensor and of the electromagnetic field.

References (17)

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F. A. E. Pirani, Phys. Rev. 105, 1089 (1957) R. Penrose, Ann. Phys. (N.Y.) 10, 171 (1960)
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J. Anandan, J. Math. Phys. (to be published)
[3], Chap. 8
Omitted endnote
T. T. Wu and C. N. Yang, in Properties of Matter Under Unusual Conditions, edited by H. Mark and S. Fernbach (Interscience, New York, 1969)
G. 't Hooft, Nucl. Phys. B79, 276 (1974) M. K. Prasad and C. M. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)
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[c1] A. E. Petrov, Sci. Not., Kazan State University 114, 55 (1954)

[c2] F. A. E. Pirani, Phys. Rev. 105, 1089 (1957) R. Penrose, Ann. Phys. (N.Y.) 10, 171 (1960)

[c3] M. Carmeli, Group Theory and General Relativity (McGraw-Hill, New York, 1977)

[c4] T. Eguchi, Phys. Rev. D 13, 1561 (1976)

[c5] R. Roskies, Phys. Rev. D 15, 1722 (1977)

[c6] M. Carmeli, Phys. Rev. Lett. 39, 523 (1977)

[c7] J. Anandan and R. Roskies, Phys. Rev. D 18, 1152 (1978)

[c8] J. Anandan and P. Tod, Phys. Rev. D 18, 1144 (1978)

[c9] Ling-Lee Wang, J. Math. Phys. (to be published)

[c10] J. Anandan, J. Math. Phys. (to be published)

[c11] [3], Chap. 8

[c12] Omitted endnote

[c13] T. T. Wu and C. N. Yang, in Properties of Matter Under Unusual Conditions, edited by H. Mark and S. Fernbach (Interscience, New York, 1969)

[c14] G. 't Hooft, Nucl. Phys. B79, 276 (1974) M. K. Prasad and C. M. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)

[c15] B. Julia and A. Zee, Phys. Rev. D 11, 2227 (1975)

[c16] S. Coleman, Phys. Lett. 70B, 59 (1977)

[c17] A. Belavin et al., Phys. Lett. 59B, 85 (1975) G 't Hooft, Phys. Rev. Lett. 37, 8 (1976)

Physical Review D

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Little-group classification of gauge fields

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References (17)

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