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Standard Model and Beyond
· Problem 3.24
Gauge Theories
Physics — Particle Physics · sum-invariant-sun-not-un
Problem
Prove that the operator
ϵ
α
1
⋯
α
m
ψ
α
1
⋯
α
m
\epsilon^{\alpha_1 \cdots \alpha_m} \psi_{\alpha_1 \cdots \alpha_m}
ϵ
α
1
⋯
α
m
ψ
α
1
⋯
α
m
in (3.120) is invariant under
S
U
(
m
)
SU(m)
S
U
(
m
)
but not under
U
(
m
)
U(m)
U
(
m
)
.
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