Zero mode topology with dynamical overlap fermions
نویسندگان
چکیده
We investigate the correlation between the topological charge density and the small eigenvectors of the overlap Dirac operator on ensembles generated at four different quark masses using dynamical overlap fermions. We identify topological structures in the QCD vacuum, and by investigating their size, shape and topological charge, we determine that the small eigenvalues of the Dirac operator are dominated by approximately hyper-spherical objects with integer topological charge.
منابع مشابه
Unquenching the Topological Susceptibility with an Overlap Action
We estimate the quark-mass dependence of the topological susceptibility with dynamical overlap and clover fermions. Unquenching effects on the susceptibility turn out to be well approximated by a reweighting of a quenched ensemble with a low-eigenmode truncation of the fermionic determinant. We find that it is most likely due to the explicit chiral symmetry breaking of the fermion action that p...
متن کاملTopology with Dynamical Overlap Fermions
We perform dynamical QCD simulations with nf = 2 overlap fermions by hybrid Monte-Carlo method on 64 to 83 × 16 lattices. We study the problem of topological sector changing. A new method is proposed which works without topological sector changes. We use this new method to determine the topological susceptibility at various quark masses.
متن کاملStaggered eigenvalue mimicry
We study the infrared part of the spectrum for UV-filtered staggered Dirac operators and compare them to the overlap counterpart. With sufficient filtering and at small enough lattice spacing the staggered spectra manage to “mimic” the overlap version. They show a 4-fold near-degeneracy, and a clear separation between would-be zero modes and non-zero modes. This suggests an approximate index th...
متن کاملSuper Yang-Mills on the lattice with domain wall fermions
The dynamical N = 1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral properties and can produce topological zero-mode phenomena. Numerical simulations of the full theory on lattices with the topology of a torus indicate the form...
متن کاملDynamical overlap fermions: simulation and physics results
We summarize our recent investigations of lattice QCD with dynamical overlap fermions. We sketch algorithmic issues and our approach to solving them. We show our measurement of the topological susceptibility. We describe a computation of the chiral condensate using an analysis of the distribution of eigenmodes of the Dirac operator and Random Matrix Theory.
متن کامل