Nuclear Transition in the Strong Coupling Limit.

Abstract

Lattice QCD at finite baryon chemical potential has the infamous sign problem which hinders Monte Carlo simulations. This can be remedied by a dual representation that makes the sign problem mild. In the strong coupling limit, the dual formulation with staggered quarks is well established. We have used this formulation to study the quark mass dependence of the baryon mass and the nuclear transition. This allows us to quantify the nuclear interaction. We have also compared our Monte Carlo results with mean field predictions.

QCD thermodynamics: an overview of recent progress

“…[86] reports on an extension to the Hamiltonian formulation of strong coupling lattice QCD from 𝑁 f = 1 to 𝑁 f = 2, aiming at mapping out the enlarged phase diagram in the strong coupling regime in the 𝜇 B -𝜇 I -T-space, as well as on progress on the implementation of the QMC simulations for the 𝑁 f = 2 case, in which simulations are doable both for nonzero baryon and for nonzero isospin chemical potential. In the strong coupling limit and for 𝑁 f = 1, the dual formulation with staggered quarks is well established and has been used [87] to study the quark mass dependence of the baryon mass and the nuclear transition allowing for a quantification of the nuclear interaction that tends to zero when the quark mass is large and is found to be in agreement, at large quark masses, with the 3-dim. Polyakov loop effective theory based on hopping parameter expansion.…”