Gauge group of the standard model

The standard model of physics is based on the direct product gauge group SU 3)c X SU 2)i, x f/(l)Y- SU(3)c is the non-Abelian gauge group of quantum chromodynamics (QCD) that describes the colour interaction between the quarks (hence the index C), while SU(2)l x U(1)y is the gauge group of the electroweak model [13-15]. Since the SU(3)c transformations of QCD commute with the 517(2)l x t/(l)Y transformations, the QCD part is not discussed here any further. 

represents the neutrino field and V e( ) the electron field, which 

Therefore, only the doublet L is affected by SU(2)l transformations, while the singlet R remains unchanged  

The behaviour under /(l) transformations on the other hand is given by 

The mechanism that leads to this important mixing of the two fields is spontaneous breaking of the local 5[/(2)l x C/(1)y symmetry. This is one 

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