Approach to the continuum limit of the quenched Hermitian Wilson-Dirac operator
- SCRI, Florida State University, Tallahassee, Florida 32306-4130 (United States)
We investigate the approach to the continuum limit of the spectrum of the Hermitian Wilson-Dirac operator in the supercritical mass region for pure gauge SU(2) and SU(3) backgrounds. For this we study the spectral flow of the Hermitian Wilson-Dirac operator in the range 0{le}m{le}2. We find that the spectrum has a gap for 0{lt}m{le}m{sub 1} and that the spectral density at zero, {rho}(0;m), is non-zero for m{sub 1}{le}m{le}2We find that m{sub 1}{r_arrow}0 and, for m{ne}0, {rho}(0;m){r_arrow}0 (exponential in the lattice spacing) as one goes to the continuum limit. We also compute the topological susceptibility and the size distribution of the zero modes. The topological susceptibility scales well in the lattice spacing for both SU(2) and SU(3). The size distribution of the zero modes does not appear to show a peak at a physical scale. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 355483
- Journal Information:
- Physical Review, D, Vol. 60, Issue 3; Other Information: PBD: Aug 1999
- Country of Publication:
- United States
- Language:
- English
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