Journal of High Energy Physics

, 2014:119 | Cite as

Topological susceptibility from the twisted mass Dirac operator spectrum

  • The ETM collaboration
  • Krzysztof Cichy
  • Elena Garcia-Ramos
  • Karl Jansen
Open Access
Article

Abstract

We present results of our computation of the topological susceptibility with N f = 2 and N f = 2 + 1 + 1 flavours of maximally twisted mass fermions, using the method of spectral projectors. We perform a detailed study of the quark mass dependence and discretization effects. We make an attempt to confront our data with chiral perturbation theory and extract the chiral condensate from the quark mass dependence of the topological susceptibility. We compare the value with the results of our direct computation from the slope of the mode number. We emphasize the role of autocorrelations and the necessity of long Monte Carlo runs to obtain results with good precision. We also show our results for the spectral projector computation of the ratio of renormalization constants Z P /Z S .

Keywords

Lattice QCD Lattice Gauge Field Theories Lattice Quantum Field Theory 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • The ETM collaboration
  • Krzysztof Cichy
    • 1
    • 2
  • Elena Garcia-Ramos
    • 1
    • 3
  • Karl Jansen
    • 1
    • 4
  1. 1.NIC, DESYZeuthenGermany
  2. 2.Adam Mickiewicz University, Faculty of PhysicsPoznanPoland
  3. 3.Humboldt Universität zu BerlinBerlinGermany
  4. 4.Department of PhysicsUniversity of CyprusNicosiaCyprus

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