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2 votes
0 answers
70 views

How do we determine who eats who (or which field gets massive) in a Higgs phase transition?

Consider the following theory in which a $2$-form field $B_{\mu\nu}$ with field strength $P_{\alpha\mu\nu}=\partial_{[\alpha}B_{\mu\nu]}$ is coupled to a $3$-form gauge field $C_{\alpha\beta\gamma}$ ...
Nanashi No Gombe's user avatar
19 votes
1 answer
2k views

What goes wrong if we add a mass term for gauge bosons without the Higgs mechanism?

Question: Why can't we add a mass term for the gauge bosons of a non-abelian gauge theory? In an abelian gauge theory one can freely add a mass and, while this breaks gauge invariance, as long as the ...
AccidentalFourierTransform's user avatar
7 votes
1 answer
479 views

Massive Gauge Bosons without Higgs fields

In a possible theory like our Standard model but without a Higgs i.e.: $$ \mathcal{L}=i\bar{\Psi}_f\gamma_\mu D^\mu\Psi_f-\text{Tr}[G^b_{\mu\nu}G^{b\,\mu\nu}] $$ where $b,f$ run over the typical ...
Nontriviality's user avatar