Speaker
Description
Because of the sign problem, simulations of lattice QCD at finite density are often carried out using imaginary baryon chemical potentials. This creates the challenge of analytically continuing those results to physically relevant real values.
Our group recently proposed a technique for performing this continuation by employing the Cauchy integral formula to reframe it as an inverse problem: we demonstrate that this approach can be implemented effectively, using the computation of the number density as an example. As a check, we also extract derivatives of the number density, corresponding to higher-order moments, and find them to be in full agreement with values reported in literature.
Moreover, we show that the method is more broadly applicable than it may first appear, offering insight into a wide range of related inverse problems.