### Abstract

In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Lüscher corrections. We derive analytically the integrand using the worldsheet S-matrix and evaluate the resulting integral and infinite sum using a combination of high precision numerical integration and asymptotic expansion. We use this high precision numerical result to fit the integer coefficients of zeta values in the final analytical answer. The presented six and seven loop results can be used as a cross-check with FiNLIE on the string theory side, or with direct gauge theory computations. The seven loop level is the theoretical limit of this Lüscher approach as at eight loops double-wrapping corrections will appear.

Original language | English |
---|---|

Article number | 002 |

Journal | Journal of High Energy Physics |

Volume | 2012 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2012 |

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### Keywords

- AdS-CFT Correspondence
- Integrable Field Theories
- Supersymmetric gauge theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2012*(11), [002]. https://doi.org/10.1007/JHEP11(2012)002

**Six and seven loop Konishi from Lüscher corrections.** / Bajnok, Zoltán; Janik, Romuald A.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2012, no. 11, 002. https://doi.org/10.1007/JHEP11(2012)002

}

TY - JOUR

T1 - Six and seven loop Konishi from Lüscher corrections

AU - Bajnok, Zoltán

AU - Janik, Romuald A.

PY - 2012

Y1 - 2012

N2 - In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Lüscher corrections. We derive analytically the integrand using the worldsheet S-matrix and evaluate the resulting integral and infinite sum using a combination of high precision numerical integration and asymptotic expansion. We use this high precision numerical result to fit the integer coefficients of zeta values in the final analytical answer. The presented six and seven loop results can be used as a cross-check with FiNLIE on the string theory side, or with direct gauge theory computations. The seven loop level is the theoretical limit of this Lüscher approach as at eight loops double-wrapping corrections will appear.

AB - In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Lüscher corrections. We derive analytically the integrand using the worldsheet S-matrix and evaluate the resulting integral and infinite sum using a combination of high precision numerical integration and asymptotic expansion. We use this high precision numerical result to fit the integer coefficients of zeta values in the final analytical answer. The presented six and seven loop results can be used as a cross-check with FiNLIE on the string theory side, or with direct gauge theory computations. The seven loop level is the theoretical limit of this Lüscher approach as at eight loops double-wrapping corrections will appear.

KW - AdS-CFT Correspondence

KW - Integrable Field Theories

KW - Supersymmetric gauge theory

UR - http://www.scopus.com/inward/record.url?scp=84869073332&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869073332&partnerID=8YFLogxK

U2 - 10.1007/JHEP11(2012)002

DO - 10.1007/JHEP11(2012)002

M3 - Article

AN - SCOPUS:84869073332

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

M1 - 002

ER -