Planar N = 4 gauge theory and the Hubbard model

Adam Rej; Didina Serban; Matthias Staudacher

doi:10.1088/1126-6708/2006/03/018

Planar N = 4 gauge theory and the Hubbard model

Adam Rej
, Didina Serban
, Matthias Staudacher

Research output: Contribution to journal › Article › peer-review

Abstract

Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of = 4 gauge theory in the (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.

Original language	English
Article number	018
Journal	Journal of High Energy Physics
Issue number	3
DOIs	https://doi.org/10.1088/1126-6708/2006/03/018
Publication status	Published - 1 Mar 2006
Externally published	Yes

Keywords

AdS-CFT Correspondence
Bethe Ansatz
Lattice Integrable Models
Supersymmetric gauge theory

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10.1088/1126-6708/2006/03/018

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title = "Planar N = 4 gauge theory and the Hubbard model",

abstract = "Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of = 4 gauge theory in the (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.",

keywords = "AdS-CFT Correspondence, Bethe Ansatz, Lattice Integrable Models, Supersymmetric gauge theory",

author = "Adam Rej and Didina Serban and Matthias Staudacher",

year = "2006",

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AU - Rej, Adam

AU - Serban, Didina

AU - Staudacher, Matthias

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N2 - Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of = 4 gauge theory in the (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.

AB - Recently it was established that a certain integrable long-range spin chain describes the dilatation operator of = 4 gauge theory in the (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.

KW - AdS-CFT Correspondence

KW - Bethe Ansatz

KW - Lattice Integrable Models

KW - Supersymmetric gauge theory

UR - https://www.scopus.com/pages/publications/33645652808

U2 - 10.1088/1126-6708/2006/03/018

DO - 10.1088/1126-6708/2006/03/018

M3 - Article

AN - SCOPUS:33645652808

SN - 1126-6708

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 018

ER -

Planar N = 4 gauge theory and the Hubbard model

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Keywords

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