Possibility of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">SU</mi><mn></mn><mo>(</mo><mi>N</mi><mo>)</mo><mn></mn></math></span> antisymmetric-tensor Higgs fields

Jihn E. Kim

doi:10.1103/PhysRevD.26.2009

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Possibility of $SU (N)$ antisymmetric-tensor Higgs fields

Jihn E. Kim^*

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 and Department of Physics, Seoul National University, Seoul 151, Korea

^*Present address.

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Phys. Rev. D 26, 2009 – Published 15 October, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.2009

Abstract

The possibility of introducing $SU (N)$ antisymmetric Higgs fields is raised, and a pattern of spontaneous symmetry breaking by an antisymmetric Higgs field is presented in terms of quartic coupling constants. A detailed application is given for breaking an SU(7) gauge symmetry to a realistic $SU {(3)}_{c} \times SU (2) \times U (1)$ by two antisymmetric fields $H^{α β}$ and $H^{α β γ}$ .

References (10)

H. Georgi, Nucl. Phys. B156, 126 (1979)
H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32, 438 (1974) H. Georgi, H. Quinn, and S. Weinberg, ibid. 33, 451 (1974)
S. Weinberg, Phys. Rev. D 13, 974 (1976) L. Susskind, ibid. 20, 2619 (1979)
S. Weinberg, Phys. Lett. 82B, 387 (1979)
P. H. Frampton, Phys. Lett. 88B, 299 (1979) S. M. Barr, Phys. Rev. D 21, 1424 (1980) E. Farhi and L. Susskind, ibid. 20, 3404 (1979)
P. H. Frampton [Phys. Rev. Lett. 43, 1912 (1979)] K. Huang and S. Weinberg, 25, 895 (1970) J. E. Kim, Phys. Rev. D 21, 1687 (1980)
M. Magg and Q. Shafi, Z. Phys. C 4, 63 (1980)
J. J. Synge and A. Schild, Tensor Calculus (University of Toronto Press, Toronto, 1949). p. 242
Omitted endnote
L. F. Li, Phys. Rev. D 9, 1723 (1974)

[c1] H. Georgi, Nucl. Phys. B156, 126 (1979)

[c2] H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32, 438 (1974) H. Georgi, H. Quinn, and S. Weinberg, ibid. 33, 451 (1974)

[c3] S. Weinberg, Phys. Rev. D 13, 974 (1976) L. Susskind, ibid. 20, 2619 (1979)

[c4] S. Weinberg, Phys. Lett. 82B, 387 (1979)

[c5] P. H. Frampton, Phys. Lett. 88B, 299 (1979) S. M. Barr, Phys. Rev. D 21, 1424 (1980) E. Farhi and L. Susskind, ibid. 20, 3404 (1979)

[c6] P. H. Frampton [Phys. Rev. Lett. 43, 1912 (1979)] K. Huang and S. Weinberg, 25, 895 (1970) J. E. Kim, Phys. Rev. D 21, 1687 (1980)

[c7] M. Magg and Q. Shafi, Z. Phys. C 4, 63 (1980)

[c8] J. J. Synge and A. Schild, Tensor Calculus (University of Toronto Press, Toronto, 1949). p. 242

[c9] Omitted endnote

[c10] L. F. Li, Phys. Rev. D 9, 1723 (1974)

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Possibility of $SU (N)$ antisymmetric-tensor Higgs fields

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Possibility of SU(N) antisymmetric-tensor Higgs fields

Abstract

References (10)

Possibility of $SU (N)$ antisymmetric-tensor Higgs fields