# Glashow-Weinberg-Salam problem with mass terms

by Karozo
Tags: glashowweinbergsalam, mass, terms
 P: 4 At the end of spontaneous symmetry breaking I get these mass terms: $W_{\mu}^{\pm}=\frac{1}{\sqrt{2}}\bigl(W_{\mu}^{1} \mp W_{\mu}^{2} \bigr )$ $\mathcal{L}_{mass}=\frac{1}{2} g^2 \frac{v^2}{4} W_{\mu}^{+}{W^{\mu}}^{-} + \frac{1}{2} g^2 \frac{v^2}{4} W_{\mu}^{-}{W^{\mu}}^{+}$ So I have $M_{W^+}=g \frac{v}{2} \quad M_{W^-}=g \frac{v}{2}$ Is it right? Or there are too many terms and it is enough: $\mathcal{L}_{mass}= \frac{1}{2} g^2 \frac{v^2}{4} W_{\mu}^{-}{W^{\mu}}^{+}$