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(1995)
Our formula for ln W 1,1 is slightly different from
(1977)
Phys. Rev. D17 Phys. Lett. 69B
(1988)
Proc. Suppl.) 4 199
(1992)
The gauge-field configurations were provided by the HEMCGC collaboration
(1994)
Phys. Rev. D
The b-quark mass is from
The n f = 0 Monte Carlo results are from the Fermilab study discussed in Ref
(1995)
Another determination based upon an n f = 2 simulation and a perturbative correction for n f is given in S
(1995)
Phys. Rev
These gauge-field configurations were provided by the UKQCD collaboration . There were 200 configurations on 12 3 × 24 lattices for β = 5.7, and 216 configurations on 24 3 × 48 lattices for β = 6
The staggered quark action was used for the light quarks, and the Hybrid Molecular Dynamics algorithm for the dynamical configurations
Monte Carlo results are from the Fermilab study discussed in Ref
(1992)
There were 299 configurations at am = .0125 on 16 3 × 32 lattices. The staggered quark action was used for the light quarks
These gauge-field configurations were provided by G. Kilcup and collaborators . There were 105 configurations on 16 3 × 24 lattices
(1994)
Phys. Rev. Lett
(1997)
Nucl. Phys. B (Proc
(1994)
Nucl. Phys. B452
(1995)
Phys. Lett. B361
(1981)
Third-order coefficients are from Monte Carlo simulations
(1996)
Nucl
These gauge-field configurations were provided by J. Kogut and collaborators
These gauge-field configurations were provided by the UKQCD collaboration
(1992)
There were 399 configurations at am = .01 and 199 at am =
C. Lang (1994)
The theory of quark and gluon interactionsFew-Body Systems, 16
The n f = 0
These gauge-field configurations were provided by J. Kogut and collaborators . There were 149 configurations on 16 3 × 32 lattices
(1996)
The gauge-field configurations were provided by the MILC collaboration
These gauge-field configurations were provided by G. Kilcup and collaborators
(1995)
Another determination based upon an n f = 2 simulation and a perturbative correction for n f is given in S Their results agree with ours, within larger errors
(1994)
Phys
(1996)
An independent analysis of this effect that uses preliminary versions of our data is given in B. Grinstein and I
(1995)
Our formula for ln W 1,1 is slightly different from that in our earlier paper because we have shifted the α P scale from 3
(1992)
Proc. Suppl.) 34
(1996)
Los Alamos preprint LA- UR-96-1840
(1985)
The second-order coefficients were obtained by extrapolating to infinite volume those found in U. Heller and F. Karsch
This coefficient is obtained by combining the definition of α (n f ) P (see [2]) with results in B
hep-lat/9605039
(1993)
For a useful discussion of this procedure
(1993)
For a useful discussion of this procedure, see G. Rodrigo and A. Santamaria
(1993)
There were 399 configurations at am = .01 and 199 at am = .025, all on 16 3 × 32 lattices. The staggered quark action was used for the light quarks
(1996)
Review of αs Measurements, invited talk at the Third International Symposium on Radiative Corrections
(1996)
Simon Fraser preprint SFU-HEP-131-96
(1992)
Proc. Suppl
We present a new determination of the strong coupling constant from lattice QCD simulations. We use four different short-distance quantities to obtain the coupling, three different (infrared) meson splittings to tune the simulation parameters, and a wide range of lattice spacings, quark masses, and lattice volumes to test for systematic errors. Our final result consists of ten different determinations of α P ( 3 ) ( 8.2 GeV ) , which agree well with each other and with our previous results. The most accurate of these, when evolved perturbatively to the Z 0 mass, gives α MS ¯ ( 5 ) ( M Z ) = 0.1174 ( 24 ) . We compare our results with those obtained from other recent lattice simulations.
Physical Review D – American Physical Society (APS)
Published: Sep 1, 1997
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