We present a comparison of different definitions of the topological charge on the lattice, using a small-volume ensemble with 2 flavours of dynamical twisted mass fermions. The investigated definitions are: index of the overlap Dirac operator, spectral projectors, spectral flow of the Hermitian Wilson-Dirac operator and field theoretic with different kinds of smoothing of gauge fields (HYP and APE smearings, gradient flow, cooling). We also show some results on the topological susceptibility.
@article{arxiv.1411.1205,
title = {Comparison of different lattice definitions of the topological charge},
author = {Krzysztof Cichy and Arthur Dromard and Elena Garcia-Ramos and Konstantin Ottnad and Carsten Urbach and Marc Wagner and Urs Wenger and Falk Zimmermann},
journal= {arXiv preprint arXiv:1411.1205},
year = {2014}
}
Comments
7 pages, 2 figures, presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA