On analytic continuation from imaginary to real chemical potential in Lattice QCD

• DOI: 10.48550/arxiv.2502.03392
• Publication Date: 2025-02-05
• Authors: Francesco Di Renzo; Marco Aliberti; P. Dimopoulos
• Keywords: The Imaginary; Continuation; Lattice (music); Imaginary time

Imaginary baryon number chemical potential simulations are a popular workaround for the (in)famous sign problem plaguing finite density QCD studies on lattice. One is necessarily left with of analytically continuing results to real values $\mu_B$. In framework Bielefeld Parma Collaboration, we have in recent years studied multi-point Pad\'e description net computed as function imaginary potential. While our main emphasis has till now been determination Lee-Yang singularities, method per se natural tool continue results. We report status projects this respect, comparing approach analytic continuation another, new strategy, which an application Cauchy integral formula sense inverse problem.