Timeline for Is it possible to falsify the $SU(2)_{lepton, left}*SU(2)_{quark, left}*U(1)$ symmetry group as an alternative candidate for GSW Model?
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6 events
| when toggle format | what | by | license | comment | |
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| May 25, 2020 at 14:13 | comment | added | Bastam Tajik | Also by imposing gauge invariance on the four point function of the new interactive term, the coupling should be the same! | |
| May 25, 2020 at 14:04 | comment | added | Bastam Tajik | Well first of all, we're to all extent still within the paradigm of Yang-Mills theory and gauge invariance is the golden rule. I was considering to write down a new gauge invariant interaction term between the two sectors. And it's nothing but the renormalizable operator of the trace of the multiplication of the two W bosons field strengths. $Tr(F_{1}*F_{2})$ Idk if this term can modify the perturbation theory significantly or not. | |
| May 25, 2020 at 0:00 | comment | added | Prof. Legolasov | @BastamTajik in your construction, the two $SU(2)$ from a Cartesian product group. The corresponding Lie algebra generators commute with each other. Therefore, a Yang-Mills theory built around your gauge groups will have the two $W/Z$ bosons which don’t interact with each other. You could always try writing down something other than Yang-Mills, but I’m not aware of any such successful approach. | |
| May 24, 2020 at 23:57 | comment | added | Bastam Tajik | And even if I include an inner product of the two W fields in the lagrangian to add a vertex for the W particle to change the first W to the second one, it seems that I lose gauge invariance explicitly. True? | |
| May 24, 2020 at 23:52 | vote | accept | Bastam Tajik | ||
| May 24, 2020 at 20:33 | history | answered | Prof. Legolasov | CC BY-SA 4.0 |