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

2021/11/11 by Simran Singh, Singh, Simran, P. Dimopoulos +15
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2111.06241

openalex publication_date 2021/11/11 · openalex created_date 2022/07/25 · openalex updated_date 2026/08/03

Abstract

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 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.

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