A lattice theory for low energy fermions at finite chemical potential
Jiunn-Wei Chen, David B. Kaplan
TL;DR
This paper develops a lattice theory for nonrelativistic spin-1/ick fermions at finite chemical potential, avoiding sign problems and applicable to dilute atomic and neutron systems with large scattering lengths.
Contribution
It introduces a sign-problem-free lattice framework for interacting fermions at nonzero chemical potential, suitable for large scattering length regimes.
Findings
Theory applicable to dilute neutron gases
No sign problem in the lattice formulation
Potential for studying thermodynamic properties
Abstract
We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the two-body potential, and does not suffer from a sign problem. In particular, the theory could be useful in studying the thermodynamic limit of fermion systems for which the scattering length is much larger than the interparticle spacing, with applications to realistic atomic systems and dilute neutron gases.
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