https://doi.org/10.1051/epjconf/201817501013
Temperature-dependence of the QCD topological susceptibility
Institute for Nuclear Research of the Hungarian Academy of Sciences, H-4026 Debrecen, Hungary
* Speaker, e-mail: kgt@atomki.mta.hu. Acknowledges financial support under contract number OTKA-K-113034. Thanks Z. Fodor, S.D. Katz and K.K. Szabó for numerous helpful discussions during the preparation of this talk. Most of the computations presented here were performed on JUQUEEN at Forschungszentrum Jülich.
Published online: 26 March 2018
We recently obtained an estimate of the axion mass based on the hypothesis that axions make up most of the dark matter in the universe. A key ingredient for this calculation was the temperature-dependence of the topological susceptibility of full QCD. Here we summarize the calculation of the susceptibility in a range of temperatures from well below the finite temperature cross-over to around 2 GeV. The two main difficulties of the calculation are the unexpectedly slow convergence of the susceptibility to its continuum limit and the poor sampling of nonzero topological sectors at high temperature. We discuss how these problems can be solved by two new techniques, the first one with reweighting using the quark zero modes and the second one with the integration method.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
