7 research outputs found
Proposal for Topologically Unquenched QCD
A proposal is presented for simulating an improvement on quenched QCD with
dynamical fermions which interact with the gluon configuration only via the
topological index of the latter. Strengths and shortcomings of the method are
discussed and it is argued that the approximation - though being crude - shares
some qualitative aspects of full QCD which relate to the issue of chiral
symmetry breaking.Comment: latex, 13pp, material rearranged and better focused, final version to
appear in Phys. Rev.
Temperature dependence of instantons in QCD
We investigate the temperature dependence of the instanton contents of gluon
fields, using unquenched lattice QCD and the cooling method. The instanton size
parameter deduced from the correlation function decreases from 0.44fm below the
phase-transition temperature (MeV) to 0.33fm at 1.3 .
The instanton charge distribution is Poissonian above , but it deviates
from the convoluted Poisson at low temperature. The topological susceptibility
decreases rapidly below , showing the apparent restoration of the
symmetry already at .Comment: 8 pages TEX, 3 Postscript figures available at
http://www.krl.caltech.edu/preprints/MAP.htm
Numerical study of lattice index theorem usingimproved cooling and overlap fermions
We investigate topological charge and the index theorem on finite lattices
numerically. Using mean field improved gauge field configurations we calculate
the topological charge Q using the gluon field definition with -improved cooling and an -improved field strength tensor
. We also calculate the index of the massless overlap fermion
operator by directly measuring the differences of the numbers of zero modes
with left- and right--handed chiralities. For sufficiently smooth field
configurations we find that the gluon field definition of the topological
charge is integer to better than 1% and furthermore that this agrees with the
index of the overlap Dirac operator, i.e., the Atiyah-Singer index theorem is
satisfied. This establishes a benchmark for reliability when calculating
lattice quantities which are very sensitive to topology.Comment: 15 pages, 1 figure
Reply to Isgur's Comments on Valence QCD
We reply to Nathan Isgur's critique that is directed at some of the
conclusions drawn from the lattice simulation of valence QCD, regarding the
valence quark model and effective chiral theories.Comment: 12 pages, 6 figure