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General Effective Actions
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abstract
We investigate the structure of the most general actions with symmetry group $G$, spontaneously broken down to a subgroup $H$. We show that the only possible terms in the Lagrangian density that, although not $G$-invariant, yield $G$-invariant terms in the action, are in one to one correspondence with the generators of the fifth cohomology classes. For the special case of $G=SU(N)_L \times SU(N)_R$ broken down to the diagonal subgroup $H=SU(N)_V$, there is just one such term for $N\geq 3$, which for $N=3$ is the original Wess-Zumino-Witten term.
Forward citations
Cited by 1 Pith paper
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Schwinger-Keldysh effective field theory of type-B Goldstone: near-diagonal geometry and Berry term
A Schwinger-Keldysh effective field theory for type-B Goldstones is constructed via near-diagonal geometry and a transgression Berry term, with dissipative spectra for the ferromagnet and an SU(2)×U(1) sigma model.
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