Nonrelativistic conformal field theories

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.086004· OSTI ID:21032512

Nishida, Yusuke; Son, Dam T ^[1]

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1. Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550 (United States)

We study representations of the Schroedinger algebra in terms of operators in nonrelativistic conformal field theories. We prove a correspondence between primary operators and eigenstates of few-body systems in a harmonic potential. Using the correspondence we compute analytically the energy of fermions at unitarity in a harmonic potential near two and four spatial dimensions. We also compute the energy of anyons in a harmonic potential near the bosonic and fermionic limits.

• OSTI ID: 21032512
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANYONS
BOSONS
CONFORMAL INVARIANCE
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
FERMIONS
HARMONIC POTENTIAL
QUANTUM FIELD THEORY
SCHROEDINGER EQUATION
UNITARITY