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Analyticity in $θ$ on the lattice and the large volume limit of the topological susceptibility

B. Allés¹, M. D'Elia², and A. Di Giacomo³

¹INFN, Sezione di Pisa, Pisa, Italy
²Dipartimento di Fisica, Università di Genova and INFN, Genova, Italy
³Dipartimento di Fisica, Università di Pisa and INFN, Pisa, Italy

Phys. Rev. D 71, 034503 – Published 8 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034503

Abstract

Nonanalyticity of QCD with a $θ$ term at $θ = 0$ may signal a spontaneous breaking of both parity and time reversal invariance. We address this issue by investigating the large volume limit of the topological susceptibility $χ$ in pure SU(3) gauge theory. We obtain an upper bound for the symmetry breaking order parameter $⟨ Q ⟩$ and, as a by-product, the value $χ = [173.4 (\pm 0.5) (\pm 1.2) (_{- 0.2}^{+ 1.1}) M e V]^{4}$ at $β = 6$ ( $a \approx 0.1$ Fermi). The errors are the statistical error from our data, the one derived from the value used for $Λ_{L}$ and an estimate of the systematic error, respectively.

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Analyticity in $θ$ on the lattice and the large volume limit of the topological susceptibility

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Analyticity in θ on the lattice and the large volume limit of the topological susceptibility

Abstract

Article Text

References (29)

Analyticity in $θ$ on the lattice and the large volume limit of the topological susceptibility