Strongly Coupled QCD at Finite Baryon Density

Finite Density QCD is affected by the well known sign problem that has prevented, in most cases, any success in simulate this theory and, until now, no solution is at sight. The only exceptions in this scenario are strong coupling simulations performed with the Monomer Dimer Polymer (MDP) algorithm [1]. This algorithm is able to provide results not affected by early onset and in partial agreement with the Mean Field (MF) prediction. More recently another theoretical advance has been achieved solving exactly the β = 0 QCD in the limit of infinite mass and chemical potential [2]. In the next section we discuss the compatibility of MDP results with the infinite mass SU(3) solution; indeed we have found difficult to conciliate the numerical and analytical predictions. This leds us to reconsider the MDP algorithm more carefully and we have found evidences of convergence problems. We have also considered the SU(2) case where the sign problem is not present. Results obtained using the Gran Canonical Partition Function (GCPF) formalism turn out to be in very good agreement with the Hybrid Montecarlo (HMC) calculations [3] while, once again, MDP results [4] are inaccurate in the critical region.