AN SU(6) GRAND UNIFIED MODEL

  • A model of grand unified theory based on SU(6) gauge group is proposed. It can accommodate two generations of ordinary fermions with VA weak coupling and two generations of anomalous fermions with V+A weak coupling. In this model a new discrete symmetry is introduced which insures existence of fermions with lower masses when SU(6) gauge symmetry is spontaneously broken. We choose simple Higgs fields with appropriate vacuum expectation values so that the masses of anomalous fermions are heavier than those of ordinary fermions. This model also gives the same value of Weinberg angle, sin2θw=3/8, as in the usual SU(5) grand unified model at the grand unified scale.
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  • [1] 杜东生, 1980年武汉强子结构讨论会文集, “大统一理论”p. 150.[2] Georgi, H. Glashow. S. L. ibid., 32(1974). 438.[3] Pati, J. C. Salam, A., Phys, Rev., D10(1974), 275; Fritzsch, H. Minkowski. P, Ann. Phys.,93(1975), 193; Nucl. Phys, B103(1976), 61; Georgi, H., Particles and Fields, 1974 (APSIDPF Williamsburg), ed. C. E. Gsrlson, ,41P, New Yoi-k, 1975, p. 575; Glashom, S. L, HUTP-77/A005(1977).[4] Georgi, H., Nucl. Phys., B156(1979), 126.[5] P. Langaekar, G. Sepe and A. Weldon, Phys. Lett. 73B(1978), 87; Phys. Rev. D18(1978), 552;M. Abud, F. Buccella, H. Ruegg and C. A. Savoy, Phys. Lett., 67B(1977), 313; M. Yoshimura,Prog. Theor. Phys., 58 (1977), 972; H. Georgi and A. Pais. Phys. Rev., D19(1979), 2746. K. Inone,A. Kakuto, H. Komatsu and Y. Nakano, Prog. Theor. Phys. 58(1977), 1901, 1914; S. K.Yun, Phys. Rev., D18(1978), 3472. Int. J. Math. Phys., 18(1979), 359; J. E. Kim, Phys. Lett.,107B (1981), 69 ;马中骐、杜东生、岳宗五、薛王友, 中国科学, (1981)415.[6] 马中骐、杜东生、薛玉友, 中国科学, 11(1981), 1322.[7] 高崇寿, 1982年杭州会议报告“关于SU(N)大统一理论结构的一些讨论”.J. S. KIM, Nucl. Phys., B196(1982), 280.
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JIANG Xiang-Dong. AN SU(6) GRAND UNIFIED MODEL[J]. Chinese Physics C, 1984, 8(3): 272-278.
JIANG Xiang-Dong. AN SU(6) GRAND UNIFIED MODEL[J]. Chinese Physics C, 1984, 8(3): 272-278. shu
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Received: 1900-01-01
Revised: 1900-01-01
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AN SU(6) GRAND UNIFIED MODEL

    Corresponding author: JIANG Xiang-Dong,
  • Institute of High Energy Physics. Academia Sinica

Abstract: A model of grand unified theory based on SU(6) gauge group is proposed. It can accommodate two generations of ordinary fermions with VA weak coupling and two generations of anomalous fermions with V+A weak coupling. In this model a new discrete symmetry is introduced which insures existence of fermions with lower masses when SU(6) gauge symmetry is spontaneously broken. We choose simple Higgs fields with appropriate vacuum expectation values so that the masses of anomalous fermions are heavier than those of ordinary fermions. This model also gives the same value of Weinberg angle, sin2θw=3/8, as in the usual SU(5) grand unified model at the grand unified scale.

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