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Is Quantization of QCD Unique at the Non-Perturbative Level ?
High Energy Physics - Theory · Submitted 17 Sep 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Comparison with the canonical formalism suggests that QCD is not uniquely defined at the nonperturbative level.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We find that QCD in covariant gauge yields zero for the topological susceptibility, even at the nonperturbative level. | result 1.00 | 0.95 | 0.56 | asserted 1.00 |
| s1 | The result is derived in two ways, one using translational invariance, and the other using the BRST Hamiltonian. | method 1.00 | 0.94 | 0.04 | asserted 1.00 |
| s2 | Comparison with the canonical formalism suggests that QCD is not uniquely defined at the nonperturbative level. | interpretation 0.96 | 0.64 | 0.73 | hedged possibility 0.97 |
| s3 | Supporting evidence is also provided in 1+1 dimensions. | result 0.53 | 0.73 | 0.03 | asserted 0.98 |
| s4 | Our results imply that the strong CP problem admits a trivial resolution in covariant gauge, but obstacles remain for the U(1) problem. | interpretation 1.00 | 0.74 | 0.20 | asserted 0.74 |
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Original abstract
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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