Is Quantization of QCD Unique at the Non-Perturbative Level ?

Details Is Quantization of QCD Unique at the Non-Perturbative Level ? Is Quantization of QCD Unique at the Non-Perturbative Level ?

1997-09-17

arxiv.org/abs/hep-th/9709125v2

Phys.Rept. 398 (2004) 245-252

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Previous version updated and an example in 1+1 dimensions supplied

Scientific paper

10.1016/j.physrep.2004.05.003

We find that QCD in covariant gauge yields zero for the topological susceptibility, even at the nonperturbative level. The result is derived in two ways, one using translational invariance, and the other using the BRST Hamiltonian. Comparison with the canonical formalism suggests that QCD is not uniquely defined at the nonperturbative level. Supporting evidence is also provided in 1+1 dimensions. Our results imply that the strong CP problem admits a trivial resolution in covariant gauge, but obstacles remain for the U(1) problem.

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