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QCD is a
non-Abelian Gauge Theory.
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The gauge group is SU(3).
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The Quarks carry
the fundamental
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representation
3.
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The Gluons, which transmit the forces between
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quarks, carry
the adjoint representation 8.
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3 has triality, 8
has no triality.
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The theory has
defied analytical results despite
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the best efforts
for more than 25 years.
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It
is an outstanding problem of theoretical
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physics.
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