General effective actions

Journal Article · Mon Nov 14 19:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.R6050· OSTI ID:6837682

D'Hoker, E ^[1]; Weinberg, S ^[2]

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1. Department of Physics, University of California at Los Angeles, Los Angeles, California 90024 (United States)
2. Theory Group, Department of Physics, University of Texas, Austin, Texas 78712 (United States)

We investigate the structure of the most general actions with the symmetry group [ital G], spontaneously broken down to a subgroup [ital H]. We show that the only possible terms in the Lagrangian density that, although not [ital G] invariant, yield [ital 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 [ital G]=SU([ital N])[sub [ital L]][times]SU([ital N])[sub [ital R]] broken down to the diagonal subgroup [ital H]=SU([ital N])[sub [ital V]], there is just one such term for [ital N][ge]3, which for [ital N]=3 is the original Wess-Zumino-Witten term.

• OSTI ID: 6837682
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
DENSITY
FUNCTIONS
INTEGRALS
LAGRANGIAN FUNCTION
LIE GROUPS
PHYSICAL PROPERTIES
SU GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS