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An introduction to the theory of groups of finite order by Harold Hilton

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By Harold Hilton

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P → ν + p, νµ + e → νµ + e, νe + e → νe + e. 11) These processes have been observed [20] and they confirm eq. 9) as the correct structure for the weak Hamiltonian up to a piece, which we denote by Hwk : 4GF Hwk = − √ k¯ ν γ µ (1 + γ5 )νJµem . 12) If we temporarily ignore eq. 12), we find that the weak interaction Hamiltonian has all the right properties to incorporate an underlying local weak SU(2) symmetry. Under this weak SU(2) symmetry, the left-handed fermions must transform as doublets as follows: νeL uL d cos θ e− L C + sL sin θC L νµL .

14, 1047 (1965). [9] C. N. Yang and R. L. Mills, Phys. Rev. 96, 191 (1954). [10] R. D. Thesis, Cambridge University, 1955. [11] O. W. Greenberg, Phys. Rev. Lett. 13, 598 (1964); M. Y. Han and Y. Nambu, Phys. Revs. 139, B1006 (1965). For a review and references on the subject, see O. W. Greenberg and C. A. Nelson, Phys. Rep. 32, 69 (1977); W. Marciano and H. Pagels, Phys. Rep. 36C, 137 (1978). [12] J. D. Bjorken, Phys. Rev. 179, 1547 (1969). [13] R. , 1972. [14] J. D. Bjorken and E. A. Paschos, Phys.

C. Taylor, Gauge Theories of Weak Interactions, Cambridge University Press, Cambridge, 1976; C. Quigg, Gauge Theories of the Strong, Weak, and Electromagnetic Interactions, Benjamin-Cummings, New York, 1983; R. N. Mohapatra and C. Lai, Gauge Theories of Fundamental Interactions, World Scientific, Singapore, 1981; A. Zee, Unity of Forces in Nature, World Scientific, Singapore, 1983; M. A. Beg and A. Sirlin, Phys. Rep. 88, 1(1982); and Ann. Rev. Nucl. Sci. 24, 379 (1974); E. S. Abers and B. W. Lee, Phys.

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