Is quantization of QCD unique at the non-perturbative level?

Hidenaga Yamagishi; Ismail Zahed

doi:10.1016/j.physrep.2004.05.003

Is quantization of QCD unique at the non-perturbative level?

Hidenaga Yamagishi
, Ismail Zahed

Physics and Astronomy

Research output: Contribution to journal › Short survey › peer-review

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.

Original language	English
Pages (from-to)	245-252
Number of pages	8
Journal	Physics Reports
Volume	398
Issue number	4-6
DOIs	https://doi.org/10.1016/j.physrep.2004.05.003
State	Published - Sep 2004

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10.1016/j.physrep.2004.05.003

Cite this

@article{a2b8adb1c1c84065b3a62305e2791924,

title = "Is quantization of QCD unique at the non-perturbative level?",

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.",

author = "Hidenaga Yamagishi and Ismail Zahed",

year = "2004",

month = sep,

doi = "10.1016/j.physrep.2004.05.003",

language = "English",

volume = "398",

pages = "245--252",

journal = "Physics Reports",