Probing the Region of Massless Quarks in Quenched Lattice QCD using Wilson Fermions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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22 pages, LaTeX file, uses elsart.sty, includes 11 figures A typographical error in one reference has been fixed

Scientific paper

10.1016/S0550-3213(98)00104-7

We study the spectrum of $H(m)=\gamma_5 W(-m)$ with $W(m)$ being the Wilson-Dirac operator on the lattice with bare mass equal to $m$. The background gauge fields are generated using the SU(3) Wilson action at $\beta=5.7$ on an $8^3\times 16$ lattice. We find evidence that the spectrum of $H(m)$ is gapless for $1.02 < m < 2.0$, implying that the physical quark is massless in this whole region.

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