simulations with improved staggered fermions carleton detar brookhaven national laboratory scidac...
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Simulations with Improved Staggered Fermions
Carleton DeTar
Brookhaven National Laboratory
SciDAC All Hands Meeting
March 26, 2004
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MILC Collaboration
• C. Aubin (Wash U)• C. Bernard (Wash U)• T. Burch (Regensberg)• C. DeTar (U Utah)• S. Gottlieb (Indiana U)• E. Gregory (U Arizona)• U. Heller (APS)• J. Hetrick (U Pacific)• J. Osborn (U Utah)• R. Sugar (UCSB)• D. Toussaint (U Arizona)
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fm)3)(7(317.01 r
coarse
fine
Dataset
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Tests of Simulation Parameters
• Precision (double/single)
• RMD step size
• Finite volume
• MD autocorrelation
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Precision
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MD Step Size
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Finite Volume
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Setting the Scale
• Y(2S) – Y(1S) or Y(2P) – Y(1S)
• Continuum, physical:
:1r 00.1)( 12
1 rFrQQ
)/10,,(/ 21 gamamfar sud
fm)3)(7(317.01 r
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Staggered Chiral Perturbation Theory
• Taste splittings
• and
• Strange quark mass
• Topological susceptibility
• Nucleon mass
f)/( 212 mmmPS
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Taste splitting
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Scaling of splittings
• Chiral perturbation theory prediction:
for
• Observed: 0.35
)( 222 aOm si 398.0324.0)/()( coarse
22fine
22 aa ss
aaq /2/*
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Preliminary HPQCD/MILC/UKQCD
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Strange quark mass HPQCD/MILC/UKQCD
• Errors: statistical, simulation systematics, perturbation theory, e.m. effects
• Improvement helps convergence in
)11)(0)(3)(1(3.26/
)1)(2)(1)(0(9.2)2(
)0)(6)(3)(0(76)2(
,
dus
MSud
MSs
mm
MeVGeVm
MeVGeVm
mZ
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Topological Susceptibility
• Staggered chiral perturbation theory
22
22
2/1
8/
ssII
I
mm
mf
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Uncorrected
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Corrected
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Excited States and Decays
• K
•
•
• Overview
0a
1b
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Thermodynamics
• vs. T
• vs. T
• Quark number susceptibility
• Strangeness susceptibility
tot
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Future
• D, B decays (leptonic, semileptonic)
• correlator (tests of )
• Quark plasma Equation of State
• Hybrid exotics and decays
' 4/1det