Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion

Journal Article · Fri May 23 04:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.205301· OSTI ID:21132454

Braaten, Eric; Platter, Lucas ^[1]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k{sup 4} 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 expectation value of a local operator that measures the density of pairs.

• OSTI ID: 21132454
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 100; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EXPECTATION VALUE
FERMI GAS
INTEGRALS
OPERATOR PRODUCT EXPANSION
SCATTERING LENGTHS
SPIN