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Phys. Rev. D 50, R6050–R6053 (1994)

General effective actions

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Eric D’Hoker
Department of Physics, University of California at Los Angeles, Los Angeles, California 90024

Steven Weinberg
Theory Group, Department of Physics, University of Texas, Austin, Texas 78712

We investigate the structure of the most general actions with the 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×SU(N)R broken down to the diagonal subgroup H=SU(N)V, there is just one such term for N≥3, which for N=3 is the original Wess-Zumino-Witten term.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.50.R6050
DOI:
10.1103/PhysRevD.50.R6050
PACS:
11.10.Ef, 11.30.Qc