### Abstract

The anomalous dimensions of single-trace local Wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl (2) Baxter equation. We perform a systematic expansion of this equation at strong coupling in the single-logarithmic limit of large conformal spin to overcome the limitation of the asymptotic nature of the equation. The analysis is reduced to Riemann-Hilbert problems for corresponding resolvents of Bethe roots in each order of the quasiclassical expansion. We explicitly construct the resolvents in the lowest two orders in strong coupling and find all local conserved charges of the underlying long-range spin chain.

Original language | English (US) |
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Pages (from-to) | 732-740 |

Number of pages | 9 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 659 |

Issue number | 3 |

DOIs | |

State | Published - Jan 24 2008 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Strong coupling expansion of Baxter equation in N = 4 SYM.** / Belitsky, Andrei.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Strong coupling expansion of Baxter equation in N = 4 SYM

AU - Belitsky, Andrei

PY - 2008/1/24

Y1 - 2008/1/24

N2 - The anomalous dimensions of single-trace local Wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl (2) Baxter equation. We perform a systematic expansion of this equation at strong coupling in the single-logarithmic limit of large conformal spin to overcome the limitation of the asymptotic nature of the equation. The analysis is reduced to Riemann-Hilbert problems for corresponding resolvents of Bethe roots in each order of the quasiclassical expansion. We explicitly construct the resolvents in the lowest two orders in strong coupling and find all local conserved charges of the underlying long-range spin chain.

AB - The anomalous dimensions of single-trace local Wilson operators with covariant derivatives in maximally supersymmetric gauge theory are believed to be generated from a deformed noncompact sl (2) Baxter equation. We perform a systematic expansion of this equation at strong coupling in the single-logarithmic limit of large conformal spin to overcome the limitation of the asymptotic nature of the equation. The analysis is reduced to Riemann-Hilbert problems for corresponding resolvents of Bethe roots in each order of the quasiclassical expansion. We explicitly construct the resolvents in the lowest two orders in strong coupling and find all local conserved charges of the underlying long-range spin chain.

UR - http://www.scopus.com/inward/record.url?scp=37549017721&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37549017721&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2007.11.023

DO - 10.1016/j.physletb.2007.11.023

M3 - Article

AN - SCOPUS:37549017721

VL - 659

SP - 732

EP - 740

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -