Implementing Gauss's law in Yang-Mills theory and QCD

We construct a transformation that transforms perturbative states into states that implement Gauss's law for `pure gluonic' Yang-Mills theory and QCD. The fact that this transformation is not and cannot be unitary has special significance. Previous work has shown that only states that are unitarily equivalent to perturbative states necessarily give the same S-matrix elements as are obtained with Feynman rules.

Yang-Mills
QCD
Quantum Chromodynamics
Non-Abelian
Gauss's law
gauge field theory: Yang-Mills
fermion
quantization: constraint
Hamiltonian formalism
Gauss law

References(8)

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