Critical temperature for fermion pairing using lattice field theory

TL;DR

This paper uses lattice field theory and Monte Carlo simulations to study the critical temperature for fermion pairing and the superfluid-normal phase transition in strongly interacting two-component fermion gases.

Contribution

It presents the first results for the critical temperature of fermion pairing using lattice field theory and explores the phase transition in strongly interacting fermionic systems.

Findings

Initial estimates of the critical temperature T_c for fermion pairing.

Identification of the superfluid to normal phase transition.

Framework for future detailed studies of T_c as a function of interaction strength.

Abstract

Dilute gases of 2-component fermions are of great interest in atomic and nuclear physics. When interactions are strong enough so that a bound state is at threshold, universal behavior is expected. Lattice field theory provides a first principles approach to the study of strongly interacting systems such as this through Monte Carlo simulation. Results of exploratory simulations are presented here. In particular, the finite temperature phase transition between superfluid and normal states is studied. We present first results for the critical temperature T_c and describe the future work necessary to determine T_c as a function of interaction strength.