I am starting ph.D in neutrino physics-ph. I've read some papers on discrete symmetries and neutrino mass models. Neutrino flavor models are built using irreducible representations of discrete groups, or even SM is based on irreducible representation of certain groups only. Why is it possible only in irreps? Why can't we use any other representations (reducible, adjoint reps or any other if there is any)?
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$\begingroup$ any particles or fields are defined by irreducible representations only. why ? $\endgroup$– Kishan MayengbamFeb 26, 2020 at 9:17
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$\begingroup$ Possible duplicate: Why do all fields in a QFT transform like irreducible representations of some group? $\endgroup$– Qmechanic ♦Feb 26, 2020 at 9:24
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$\begingroup$ oh thank you very much ! $\endgroup$– Kishan MayengbamFeb 26, 2020 at 9:26
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1$\begingroup$ Does this answer your question? Why do all fields in a QFT transform like *irreducible* representations of some group? $\endgroup$– Superfast JellyfishFeb 26, 2020 at 10:08
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