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

Transcript of Simulations with Improved Staggered Fermions Carleton DeTar Brookhaven National Laboratory SciDAC...

Page 1: Simulations with Improved Staggered Fermions Carleton DeTar Brookhaven National Laboratory SciDAC All Hands Meeting March 26, 2004.

Simulations with Improved Staggered Fermions

Carleton DeTar

Brookhaven National Laboratory

SciDAC All Hands Meeting

March 26, 2004

Page 2: Simulations with Improved Staggered Fermions Carleton DeTar Brookhaven National Laboratory SciDAC All Hands Meeting March 26, 2004.

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