Topological susceptibility with the asqtad action

A. Bazavov, William D Toussaint, C. Bernard, J. Laiho, B. Billeter, C. Detar, L. Levkova, M. B. Oktay, Steven Gottlieb, U. M. Heller, J. E. Hetrick, J. Osborn, R. L. Sugar, R. S. Van De Water

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

Chiral perturbation theory predicts that in quantum chromodynamics (QCD), light dynamical quarks suppress the gauge-field topological susceptibility of the vacuum. The degree of suppression depends on quark multiplicity and masses. It provides a strong consistency test for fermion formulations in lattice QCD. Such tests are especially important for staggered fermion formulations that lack a full chiral symmetry and use the "fourth-root" procedure to achieve the desired number of sea quarks. Over the past few years we have measured the topological susceptibility on a large database of 18 gauge-field ensembles, generated in the presence of 2+1 flavors of dynamical asqtad quarks with up and down quark masses ranging from 0.05 to 1 in units of the strange quark mass and lattice spacings ranging from 0.045 fm to 0.12 fm. Our study also includes three quenched ensembles with lattice spacings ranging from 0.06 to 0.12 fm. We construct the topological susceptibility from the integrated point-to-point correlator of the discretized topological charge density FF̄. To reduce its variance, we model the asymptotic tail of the correlator. The continuum extrapolation of our results for the topological susceptibility agrees nicely at small quark mass with the predictions of lowest-order SU(3) chiral perturbation theory, thus lending support to the validity of the fourth-root procedure.

Original languageEnglish (US)
Article number114501
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number11
DOIs
StatePublished - Jun 15 2010

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quarks
magnetic permeability
correlators
perturbation theory
quantum chromodynamics
fermions
spacing
formulations
extrapolation
retarding
continuums
vacuum
symmetry
predictions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Bazavov, A., Toussaint, W. D., Bernard, C., Laiho, J., Billeter, B., Detar, C., ... Van De Water, R. S. (2010). Topological susceptibility with the asqtad action. Physical Review D - Particles, Fields, Gravitation and Cosmology, 81(11), [114501]. https://doi.org/10.1103/PhysRevD.81.114501

Topological susceptibility with the asqtad action. / Bazavov, A.; Toussaint, William D; Bernard, C.; Laiho, J.; Billeter, B.; Detar, C.; Levkova, L.; Oktay, M. B.; Gottlieb, Steven; Heller, U. M.; Hetrick, J. E.; Osborn, J.; Sugar, R. L.; Van De Water, R. S.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 11, 114501, 15.06.2010.

Research output: Contribution to journalArticle

Bazavov, A, Toussaint, WD, Bernard, C, Laiho, J, Billeter, B, Detar, C, Levkova, L, Oktay, MB, Gottlieb, S, Heller, UM, Hetrick, JE, Osborn, J, Sugar, RL & Van De Water, RS 2010, 'Topological susceptibility with the asqtad action', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 81, no. 11, 114501. https://doi.org/10.1103/PhysRevD.81.114501
Bazavov, A. ; Toussaint, William D ; Bernard, C. ; Laiho, J. ; Billeter, B. ; Detar, C. ; Levkova, L. ; Oktay, M. B. ; Gottlieb, Steven ; Heller, U. M. ; Hetrick, J. E. ; Osborn, J. ; Sugar, R. L. ; Van De Water, R. S. / Topological susceptibility with the asqtad action. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2010 ; Vol. 81, No. 11.
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