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Charge conjugation in unitary symmetry groups

✍ Scribed by S Okubo; N Mukunda


Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
591 KB
Volume
36
Category
Article
ISSN
0003-4916

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✦ Synopsis


A charge conjugation transformation law for infinitesimal generations of unitary symmetry groups like SU(2), SU(3) (or more generally SUcn)) and 0(12) has been derived from requirements that the charge conjugation is an automorphism of the group and furthermore that it changes signs of ordinary charge and hypercharges.


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We consider the following class of unitary representations ? of some (real) Lie group G which has a matched pair of symmetries described as follows: (i) Suppose G has a period-2 automorphism {, and that the Hilbert space H(?) carries a unitary operator J such that J?=(? b {) J (i.e., selfsimilarity)