Is Quantization of QCD Unique at the Non-Perturbative Level ?
High Energy Physics - Theory
2009-10-30 v2
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.
Keywords
Cite
@article{arxiv.hep-th/9709125,
title = {Is Quantization of QCD Unique at the Non-Perturbative Level ?},
author = {Hidenaga Yamagishi and Ismail Zahed},
journal= {arXiv preprint arXiv:hep-th/9709125},
year = {2009}
}
Comments
5 pages, Previous version updated and an example in 1+1 dimensions supplied