### Abstract

We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N = 4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only over a single string worldsheet but also over the moduli space of classical solutions corresponding to the heavy states. This reflects the fact that we are primarily interested in energy eigenstates and not coherent states. We tested our prescription for the BMN vacuum correlator, for folded strings on S^{5} and for two-particle states. Our prescription for two-particle states with the dilaton leads to a volume dependence which matches exactly to the structure of finite volume diagonal formfactors. As the volume depence does not rely on the particular light operator we conjecture that symmetric OPE coefficients can be described for any coupling by finite volume diagonal form factors.

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

Article number | 50 |

Journal | Journal of High Energy Physics |

Volume | 2014 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2014 |

### Fingerprint

### 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*,

*2014*(9), [50]. https://doi.org/10.1007/JHEP09(2014)050

**HHL correlators, orbit averaging and form factors.** / Bajnok, Z.; Janik, Romuald A.; Wereszczynski, Andrzej.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2014, no. 9, 50. https://doi.org/10.1007/JHEP09(2014)050

}

TY - JOUR

T1 - HHL correlators, orbit averaging and form factors

AU - Bajnok, Z.

AU - Janik, Romuald A.

AU - Wereszczynski, Andrzej

PY - 2014

Y1 - 2014

N2 - We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N = 4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only over a single string worldsheet but also over the moduli space of classical solutions corresponding to the heavy states. This reflects the fact that we are primarily interested in energy eigenstates and not coherent states. We tested our prescription for the BMN vacuum correlator, for folded strings on S5 and for two-particle states. Our prescription for two-particle states with the dilaton leads to a volume dependence which matches exactly to the structure of finite volume diagonal formfactors. As the volume depence does not rely on the particular light operator we conjecture that symmetric OPE coefficients can be described for any coupling by finite volume diagonal form factors.

AB - We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N = 4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only over a single string worldsheet but also over the moduli space of classical solutions corresponding to the heavy states. This reflects the fact that we are primarily interested in energy eigenstates and not coherent states. We tested our prescription for the BMN vacuum correlator, for folded strings on S5 and for two-particle states. Our prescription for two-particle states with the dilaton leads to a volume dependence which matches exactly to the structure of finite volume diagonal formfactors. As the volume depence does not rely on the particular light operator we conjecture that symmetric OPE coefficients can be described for any coupling by finite volume diagonal form factors.

KW - AdS-CFT Correspondence

KW - Integrable Field Theories

KW - Supersymmetric gauge theory

UR - http://www.scopus.com/inward/record.url?scp=84919933430&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84919933430&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2014)050

DO - 10.1007/JHEP09(2014)050

M3 - Article

AN - SCOPUS:84919933430

VL - 2014

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

M1 - 50

ER -