A new approach is presented to explore the singularity structure of lattice QCD at imaginary chemical potential. Our method can be seen as a combination of the Taylor expansion and analytic continuation approaches. Its novelty lies in using rational (Pad\'e) approximants for studying Lee Yang edge singularities. The motivation for using rational approximants will be exhibited. We will provide some confidence in our approach based on numerical experiments performed on well-motivated "toy models". Our focus lies in identifying singularities of the net-baryon number density in the complex μB plane. To this end we have found signatures of the Roberge-Weiss critical point(and Chiral singularities -- subject to some caveats). In this contribution we will discuss the setup, simulation parameters and results obtained for 2+1 flavor QCD in the complex μB/T plane.
@article{arxiv.2111.06241,
title = {Lee-Yang edge singularities in lattice QCD : A systematic study of singularities in the complex $\mu_B$ plane using rational approximations},
author = {Simran Singh and Petros Dimopoulos and Lorenzo Dini and Francesco Di Renzo and Jishnu Goswami and Guido Nicotra and Christian Schmidt and Kevin Zambello and Felix Ziesche},
journal= {arXiv preprint arXiv:2111.06241},
year = {2021}
}
Comments
9 pages 6 figures and 2 tables. Talk at 38th international Lattice conference 2021 online Zoom/Gather @ MIT, USA