Unitary Fermi gas in the epsilon expansion
| dc.creator | Nishida, Yusuke | |
| dc.date | 2007-03-19 | |
| dc.date | 2008-08-25 | |
| dc.date.accessioned | 2026-07-07T09:58:00Z | |
| dc.date.available | 2026-07-07T09:58:00Z | |
| dc.description | 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 ε=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 \barε=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. | |
| dc.description | 103 pages, 29 figures; PhD thesis, Univ. of Tokyo, 2007 (supervisor: T. Hatsuda and D. T. Son); (v2) Eqs.(6.43)-(6.47) are corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0703465 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0703465 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167559 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Nuclear Theory | |
| dc.title | Unitary Fermi gas in the epsilon expansion | |
| dc.type | text |