Topological susceptibility with the asqtad action

Journal Article · Tue Jun 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.114501· OSTI ID:21407985

Bazavov, A; Toussaint, D ^[1]; Bernard, C; Laiho, J ^[2]; Billeter, B; DeTar, C; Levkova, L; Oktay, M B ^[3]; Gottlieb, Steven ^[4]; Heller, U M ^[5]; Hetrick, J E ^[6]; Osborn, J ^[7]; Sugar, R L ^[8]; Van de Water, R S ^[9]

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1. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
2. Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
3. Physics Department, University of Utah, Salt Lake City, Utah 84112 (United States)
4. Department of Physics, Indiana University, Bloomington, Indiana 47405, USA, NCSA, University of Illinois, Urbana, Illinois 61801 (United States)
5. American Physical Society, One Research Road, Ridge, New York 11961 (United States)
6. Physics Department, University of the Pacific, Stockton, California 95211 (United States)
7. Argonne National Laboratory, Argonne, Illinois 60439 (United States)
8. Department of Physics, University of California, Santa Barbara, California 93106 (United States)
9. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)

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 FF-tilde. 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.

• OSTI ID: 21407985
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 11; Other Information: DOI: 10.1103/PhysRevD.81.114501; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
CHARGE DENSITY
CHIRAL SYMMETRY
CHIRALITY
D QUARKS
FLAVOR MODEL
FORECASTING
MASS
MULTIPLICITY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
S QUARKS
SU-3 GROUPS
TOPOLOGY
U QUARKS
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
MATHEMATICS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
STRANGE PARTICLES
SU GROUPS
SYMMETRY
SYMMETRY GROUPS