Exact relations for a strongly interacting fermi gas from the operator product expansion.

@article{Braaten2008ExactRF,
title={Exact relations for a strongly interacting fermi gas from the operator product expansion.},
author={E. Braaten and L. Platter},
journal={Physical review letters},
year={2008},
volume={100 20},
pages={
205301
}
}

The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k4 at large momentum k, as pointed out by Tan. He used novel methods to derive exact relations between the coefficient of the tail in the momentum distribution and various other properties of the system. We present simple derivations of these relations using the operator product expansion for quantum fields. We identify the coefficient as the integral over space of the… CONTINUE READING

) . [ 9 ] We denote the product of local operators O A ( r ) and O B ( r ) at the same point in space by O A O B ( r ) . [ 10 ] J . E . Thomas , J . Kinast , and A . Turlapov