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First results from 2+1-Flavor Domain Wall QCD: Mass Spectrum, Topology Change and Chiral Symmetry with $L_s=8$

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arxiv hep-lat/0612005 v3 pith:JPHOX7LT submitted 2006-12-05 hep-lat

classification hep-lat
keywords masseschirallatticelightmassquarkresultsactions
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present results for the static interquark potential, light meson and baryon masses, and light pseudoscalar meson decay constants obtained from simulations of domain wall QCD with one dynamical flavour approximating the $s$ quark, and two degenerate dynamical flavours with input bare masses ranging from $m_s$ to $m_s/4$ approximating the $u$ and $d$ quarks. We compare these quantities obtained using the Iwasaki and DBW2 improved gauge actions, and actions with larger rectangle coefficients, on $16^3\times32$ lattices. We seek parameter values at which both the chiral symmetry breaking residual mass due to the finite lattice extent in the fifth dimension and the Monte Carlo time history for topological charge are acceptable for this set of quark masses at lattice spacings above 0.1 fm. We find that the Iwasaki gauge action is best, demonstrating the feasibility of using QCDOC to generate ensembles which are good representations of the QCD path integral on lattices of up to 3 fm in spatial extent with lattice spacings in the range 0.09-0.13 fm. Despite large residual masses and a limited number of sea quark mass values with which to perform chiral extrapolations, our results for light hadronic physics scale and agree with experimental measurements within our statistical uncertainties.

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    Lattice simulations with Möbius domain-wall fermions find the three-flavor QCD transition at mu_B=0 is a continuous crossover at pseudocritical quark masses of 184(10) MeV (Nt=6), 36-39 MeV (Nt=8), and 3.5-3.7 MeV (Nt...

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