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## Main Question or Discussion Point

Hello, I've unfortunately a trivial question, but one I couldn't answer by reading my references.

In the Weinberg-Salam model, why do we take the left electron and neutrino spinors to form a doublet?

I'd like a "physical" answer, if possible, and a more formal one, which I think is based on the SU(2) representations.

My teacher's notes start with writing down a Lagrangian for massless electron and neutrino, and then he literally says "...we must now determine the internal symmetries of the Lagrangian. It's obvious that an internal symmetry must act on particles which have the same space-time properties. The only possibility is then to put together the electron and the neutrino (left parts) in a doublet". Perhaps i'm just too stupid, but it's unintelligible to me.

Thanks everyone :).

In the Weinberg-Salam model, why do we take the left electron and neutrino spinors to form a doublet?

I'd like a "physical" answer, if possible, and a more formal one, which I think is based on the SU(2) representations.

My teacher's notes start with writing down a Lagrangian for massless electron and neutrino, and then he literally says "...we must now determine the internal symmetries of the Lagrangian. It's obvious that an internal symmetry must act on particles which have the same space-time properties. The only possibility is then to put together the electron and the neutrino (left parts) in a doublet". Perhaps i'm just too stupid, but it's unintelligible to me.

Thanks everyone :).