Planar Script N = 4 gauge theory and the Hubbard model

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Published 2 March 2006 • Published under licence by IOP Publishing Ltd
, , Citation Adam Rej et al JHEP03(2006)018 DOI 10.1088/1126-6708/2006/03/018

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Author affiliations

1 Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Potsdam, Germany

2 Service de Physique Théorique, CNRS-URA 2306, C.E.A.-Saclay, F-91191 Gif-sur-Yvette, France

3 Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106 U.S.A.

Dates

  1. Received 7 February 2006
  2. Accepted 14 February 2006
  3. Published

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1126-6708/2006/03/018

Abstract

Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of Script N = 4 gauge theory in the fraktur sfraktur u(2) sector to at least three-loop order, while exhibiting BMN scaling to all orders in perturbation theory. Here we identify this spin chain as an approximation to an integrable short-ranged model of strongly correlated electrons: The Hubbard model.

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10.1088/1126-6708/2006/03/018