Publication: On the anomaly number of the classical groups
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AIP Publishing
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Abstract
The Adler–Bell–Jackiw (ABJ) anomalies for all representations of the classical groups are calculated with the aid of a technique proposed recently for the representation theory of these groups. The method presented here is useful also for the calculations of the eigenvalues of Casimir invariants with rank higher than 3.
Description
Journal or Series
Journal of Mathematical Physics
ISSN
0022-2488
ISBN
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CLOSED
Keywords
Renormalization group methods applied to problems in quantum field theory, anomaly numbers, Lie algebra, Supersymmetric field theories in quantum mechanics, Adler-Bell-Jackiw anomalies, Applications of Lie groups to the sciences, explicit representations, Applications of linear algebraic groups to the sciences, elementary representations