General Effective Actions

Details General Effective Actions General Effective Actions

1994-09-23

arxiv.org/abs/hep-ph/9409402v1

Phys.Rev. D50 (1994) 6050-6053

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, UCLA/94/TEP/25 and UTTG-12-94

Scientific paper

10.1103/PhysRevD.50.R6050

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.

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