Spin polarized nonrelativistic fermions in dimensions
Andrei Alexandru (Department of Physics, The George Washington University, Washington, DC 20052, USA, Department of Physics, University of Maryland, College Park, Maryland 20742, USA); Paulo F. Bedaque (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 study by Monte Carlo methods the thermodynamics of a spin polarized gas of nonrelativistic fermions in dimensions. The main result of this work is that our action suffers no significant sign problem for any spin polarization in the region relevant for dilute degenerate Fermi gases. This lack of sign problem allows us to study attractive spin polarized fermions nonperturbatively at spin polarizations not previously explored. For some parameters values we verify results previously obtained by methods which include an uncontrolled step like complex Langevin and/or analytical continuation from imaginary chemical potential. For others, larger values of the polarization, we deviate from these previous results.
