General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas

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dc.creatorSon, D. T.
dc.creatorWingate, M.
dc.date2005-09-29
dc.date2006-01-14
dc.date.accessioned2026-07-07T06:41:54Z
dc.date.available2026-07-07T06:41:54Z
dc.descriptionWe show that the Lagrangian for interacting nonrelativistic particles can be coupled to an external gauge field and metric tensor in a way that exhibits a nonrelativistic version of general coordinate invariance. We explore the consequences of this invariance on the example of the degenerate Fermi gas at infinite scattering length, where conformal invariance also plays an important role. We find the most general effective Lagrangian consistent with both general coordinate and conformal invariance to leading and next-to-leading orders in the momentum expansion. At the leading order the Lagrangian contains one phenomenological constant and reproduces the results of the Thomas-Fermi theory and superfluid hydrodynamics. At the next-to-leading order there are two additional constants. We express various physical quantities through these constants.
dc.description33 pages, 2 figures; v2: small typos fixed, references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0509786
dc.identifierhttp://arxiv.org/abs/cond-mat/0509786
dc.identifierAnnals Phys. 321 (2006) 197-224
dc.identifierdoi:10.1016/j.aop.2005.11.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101841
dc.subjectOther Condensed Matter
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleGeneral coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
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