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Setting Limits on Supersymmetry Using Simplified Models

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Dynamical quark effects on light quark masses

Khan¹, Aoki, Boyd

¹Center for Computational Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan.

Physical Review Letters

|November 18, 2000

Summary

This study calculates light quark masses using lattice quantum chromodynamics (QCD) with dynamical quarks. Including two dynamical quark flavors significantly reduces quark masses compared to quenched approximations.

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Area of Science:

High Energy Physics
Quantum Chromodynamics
Computational Physics

Background:

Accurate determination of light quark masses is crucial for understanding fundamental particle interactions.
Previous lattice QCD calculations often employed quenched approximations, neglecting dynamical quark effects.

Purpose of the Study:

To calculate light quark masses in lattice QCD incorporating two degenerate flavors of dynamical quarks.
To compare results with quenched approximations and quantify the impact of dynamical quarks.

Main Methods:

Utilized lattice quantum chromodynamics (QCD) with improved actions.
Performed calculations with varying lattice spacings (a = 0.22-0.11 fm) to extrapolate to the continuum limit.
Employed pi, rho, K, and phi meson masses as physical input for mass determination.

Main Results:

Determined the up-down quark mass at 2 GeV to be m(M&Smacr;)(ud) = 3.44(+0.14)(-0.22) MeV.
Calculated the strange quark mass at 2 GeV as m(M&Smacr;)(s) = 88(+4)(-6) MeV or 90(+5)(-11) MeV.
Observed a reduction of approximately 25% in quark masses due to the inclusion of two dynamical quark flavors compared to quenched results.

Conclusions:

The inclusion of dynamical quarks in lattice QCD provides a more realistic calculation of light quark masses.
Results highlight the significant quantitative difference between dynamical and quenched lattice QCD calculations.