The 38th International Symposium on Lattice Field Theory

Lee-Yang edge singularities in lattice QCD : A systematic study of singularities in the complex 𝜇B plane using rational approximations.

27 Jul 2021, 06:30

15m

Oral presentation QCD at nonzero Temperature and Density QCD at nonzero Temperature and Density

Speaker

Ms Simran Singh (University of Parma, Italy)

Description

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 (Padé) approximants for studying the analytic continuation. The motivation for using rational approximants will be exhibited. We will also try to 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 ${\mu }_B$ plane. To this end we have found signatures of the Roberge-Weiss critical point and Chiral singularities. In this talk we will discuss the setup, simulation parameters and results obtained for 2+1 QCD at different temperatures and imaginary chemical potential values.

Presentation materials

573_T1Th_Simran_Singh

Lattice_2021.pdf