Fermions at Finite Density in Dimensions with Sign-Optimized Manifolds
Andrei Alexandru (Department of Physics, University of Maryland, College Park, Maryland 20742, USA, Department of Physics, The George Washington University, Washington, D.C. 20052, USA); Paulo F. Bedaque (Department of Physics, University of Maryland, College Park, Maryland 20742, USA); Henry Lamm (Department of Physics, University of Maryland, College Park, Maryland 20742, USA); Scott Lawrence (Department of Physics, University of Maryland, College Park, Maryland 20742, USA); Neill C. Warrington (Department of Physics, University of Maryland, College Park, Maryland 20742, USA)
We present Monte Carlo calculations of the thermodynamics of the ()-dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as to maximize the average sign within a parameterized family of manifolds. We present results for lattice sizes up to and we find that at high densities and/or temperatures the chiral condensate is abruptly reduced.