Normalizing flow importance sampling is demonstrated for the nuclear matter grand potential and density-density response function, with order-of-magnitude uncertainty reduction over VEGAS and transferability across phase space and kinematic variables.
Thermal Effects in Dense Matter Beyond Mean Field Theory
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abstract
The formalism of next-to-leading order Fermi Liquid Theory is employed to calculate the thermal properties of symmetric nuclear and pure neutron matter in a relativistic many-body theory beyond the mean field level which includes two-loop effects. For all thermal variables, the semi-analytical next-to-leading order corrections reproduce results of the exact numerical calculations for entropies per baryon up to 2. This corresponds to excellent agreement down to sub-nuclear densities for temperatures up to $20$ MeV. In addition to providing physical insights, a rapid evaluation of the equation of state in the homogeneous phase of hot and dense matter is achieved through the use of the zero-temperature Landau effective mass function and its derivatives.
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Application of normalizing flows to nuclear many-body perturbation theory
Normalizing flow importance sampling is demonstrated for the nuclear matter grand potential and density-density response function, with order-of-magnitude uncertainty reduction over VEGAS and transferability across phase space and kinematic variables.