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What is meant by the term "gauge singlet"?

 
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Dec2-09, 10:02 AM   #1
 

What is meant by the term "gauge singlet"?


Can anybody please explain what is meant by the term "gauge singlet"?
To be more specific, I got the term in a discussion on wess-zumino lagrangian where the superpotential contains the term:[tex]a_i \phi_i [/tex]. The author claims that in order the theory to be gauge invariant and invariant under susy, the fields present in this term must be gauge singlets. I do not understand this at all. (The fields mentioned are left handed chiral superfields.)
 
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Dec2-09, 11:25 AM   #2
 
Singlet means that something is inaffacted by a certain symmetry transformation.

Examples:

The neutrino is a U(1) - electric charge singlet.

The electron is a SU(3) - color singlet

The Higgs boson is a Lorentz: SO(3,1) - singlet (scalar particle)
 
Dec4-09, 02:20 PM   #3
 
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In other worlds, "neutral"; zero charge.
 
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