期刊
ANNALS OF PHYSICS
卷 321, 期 1, 页码 197-224出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2005.11.001
关键词
degenerate Fermi gas; superfluidity; effective field theory; Galilean invariance; conformal symmetry
We show that the Lagrangian for interacting non relativistic 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. (c) 2005 Elsevier Inc. All rights reserved.
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