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General effective actions

Eric D'Hoker
(
- UCLA
)
,
Steven Weinberg
(
- Texas U.
)

Sep, 1994

14 pages

Published in:

Phys.Rev.D 50 (1994) R6050-R6053

e-Print:

hep-ph/9409402 [hep-ph]

DOI:

10.1103/PhysRevD.50.R6050

Report number:

UCLA-94-TEP-25,
UTTG-12-94

View in:

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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.

effective action
coset space
spontaneous symmetry breaking
Wess-Zumino term
differential forms
cohomology

References(16)

Figures(0)

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