A Lie algebraic approach to the Kondo problem

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.01.004· OSTI ID:21336120

Rajeev, S.G. ^[1]

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1. Department of Physics and Astronomy, Department of Mathematics, University of Rochester, Rochester, NY 14627 (United States), E-mail: [e-mail]

The Kondo problem is approached using the unitary Lie algebra of spin-singlet fermion bilinears. In the limit when the number of values of the spin N goes to infinity the theory approaches a classical limit, which still requires a renormalization. We determine the ground state of this renormalized theory. Then we construct a quantum theory around this classical limit, which amounts to recovering the case of finite N.

• OSTI ID: 21336120
• Journal Information: Annals of Physics (New York), Vol. 325, Issue 4; Other Information: DOI: 10.1016/j.aop.2010.01.004; PII: S0003-4916(10)00007-2; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
GROUND STATES
LIE GROUPS
RENORMALIZATION
SPIN