Getting even with CLE

Gert Aarts; Kirill Boguslavski; Manuel Scherzer; Erhard Seiler; Dénes Sexty; Ion-Olimpiu Stamatescu

doi:10.1051/epjconf/201817514007

Proceedings

Open Access

EPJ Web of Conferences 175, 14007 (2018)
https://doi.org/10.1051/epjconf/201817514007

Getting even with CLE

Gert Aarts¹^,*, Kirill Boguslavski²^,**, Manuel Scherzer³^,***, Erhard Seiler⁴^,****, Dénes Sexty⁵^,† and Ion-Olimpiu Stamatescu³^‡

¹ Physics Dept., Swansea Univ., UK,
² Physics Dept., Univ. of Jyväskylä, Finland,
³ Institute for Theoretical Physics, Univ. Heidelberg, Germany,
⁴ Max Plank Institute for Physics, München, Germany,
⁵ Physics Dept., Wuppertal Univ, Germany,

^‡ Speaker, e-mail: stamates@thphys.uni-heidelberg.de, acknowledges financial support from DFG, grant STA 283/16-2.

Published online: 26 March 2018

Abstract

In the landscape of approaches toward the simulation of Lattice Models with complex action the Complex Langevin (CL) appears as a straightforward method with a simple, well defined setup. Its applicability, however, is controlled by certain specific conditions which are not always satisfied. We here discuss the procedures to meet these conditions and the estimation of systematic errors and present some actual achievements.

Acknowledges financial support from STFC, the Royal Society and the Wolfson Foundation.

^**

Acknowledges finacial support from the European Research Council under grant No. ERC-2015-COG-681707.

^***

Acknowledges financial support from DFG under under grant STA 283/16-2.

^****

Acknowledges financial support from DFG under under grant STA 283/16-2.

^‡

Acknowledges financial support from DFG Heisenberg fellowship under grant SE 2466/1-1.

© 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/).