Unitary Fermi gas in the epsilon expansion Export

@misc{citeulike:1177162, abstract = {We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly-interacting system of fermionic and bosonic degrees of freedom. To the leading and next-to-leading orders in the expansion over \epsilon=4-d, with d being the dimensionality of space, we determine the thermodynamic functions, the fermion quasiparticle spectrum, the critical polarizations, and the critical temperature as functions of the binding energy of the two-body state. We also show that the unitary Fermi gas near two spatial dimensions reduces to a weakly-interacting Fermi gas and calculate the thermodynamic functions and the fermion quasiparticle spectrum in the expansion over \bar\epsilon=d-2. We discuss the matching of the two systematic expansions around four and two spatial dimensions in order to extract physical observables at d=3. We find good agreement of the results with those from recent Monte Carlo simulations.}, archivePrefix = {arXiv}, author = {Nishida, Yusuke}, citeulike-article-id = {1177162}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0703465}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0703465}, day = {19}, eprint = {cond-mat/0703465}, keywords = {epsilon, expansion, fermi\_gas, unitary}, month = {Mar}, posted-at = {2007-03-20 10:35:40}, priority = {2}, title = {Unitary Fermi gas in the epsilon expansion}, url = {http://arxiv.org/abs/cond-mat/0703465}, year = {2007} }

TY - ELEC ID - citeulike:1177162 L3 - citeulike-article-id:1177162 N2 - We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly-interacting system of fermionic and bosonic degrees of freedom. To the leading and next-to-leading orders in the expansion over \epsilon=4-d, with d being the dimensionality of space, we determine the thermodynamic functions, the fermion quasiparticle spectrum, the critical polarizations, and the critical temperature as functions of the binding energy of the two-body state. We also show that the unitary Fermi gas near two spatial dimensions reduces to a weakly-interacting Fermi gas and calculate the thermodynamic functions and the fermion quasiparticle spectrum in the expansion over \bar\epsilon=d-2. We discuss the matching of the two systematic expansions around four and two spatial dimensions in order to extract physical observables at d=3. We find good agreement of the results with those from recent Monte Carlo simulations. TI - Unitary Fermi gas in the epsilon expansion KW - epsilon KW - expansion KW - fermi_gas KW - unitary AU - Nishida, Yusuke PY - 2007/Mar/19/ UR - http://arxiv.org/abs/cond-mat/0703465 ER -