- #1
Shen712
- 12
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I read somewhere that, suppose a scalar field Σ transforms as doublet under both SU(2)L and SU(2)R, its general rotation is
δΣ = iεaRTaΣ - iεaLΣTa.
where εaR and εaL are infinitesimal parameters, and Ta are SU(2) generators.
I don't quite understand this. First, why does the first term have positive sign but the second term has a negative sign? Second, why is Σ after Ta in the first term, while Σ is before Ta in the second term?
δΣ = iεaRTaΣ - iεaLΣTa.
where εaR and εaL are infinitesimal parameters, and Ta are SU(2) generators.
I don't quite understand this. First, why does the first term have positive sign but the second term has a negative sign? Second, why is Σ after Ta in the first term, while Σ is before Ta in the second term?