Divakaran, P. P. ; Ramachandran, R. (1980) A decomposition theorem for SU(n) and its application to CPviolation through quark mass diagonalisation Pramana  Journal of Physics, 14 (1). pp. 4756. ISSN 03044289

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Official URL: http://www.ias.ac.in/j_archive/pramana/14/1/4756/...
Related URL: http://dx.doi.org/10.1007/BF02846463
Abstract
It is proved that the group G=SU(n) has a decomposition G=FCF where F is a maximal abelian subgroup and C is an (n  1)^{2} parameter subset of matrices. The result is applied to the problem of absorbing the maximum possible number of phases in the massdiagonalising matrix of the charged weak current into the quark fields; i.e., of determining the exact number of CPviolating phases for arbitrary number of generations. The inadequacies of the usual way of solving this problem are discussed. The n=3 case is worked out in detail as an example of the constructive procedure furnished by the proof of the decomposition theorem.
Item Type:  Article 

Source:  Copyright of this article belongs to Indian Academy of Sciences. 
Keywords:  Semisimple Lie Algebras; Cartan Decomposition; CPviolating Phases; KobayashiMaskawa Matrix; Decomposition Theorem; Quark Mass Diagonalisation 
ID Code:  66342 
Deposited On:  24 Oct 2011 08:43 
Last Modified:  18 May 2016 13:55 
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