### Abstract

The relation between the dilatation operator of N = 4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX_{1/2} chain.

Original language | English (US) |
---|---|

Pages (from-to) | 719-742 |

Number of pages | 24 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 9 |

State | Published - Sep 1 2004 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*8*(9), 719-742.

}

*Journal of High Energy Physics*, vol. 8, no. 9, pp. 719-742.

**Yang-Mills correlation functions from integrable spin chains.** / Roiban, Radu; Volovich, Anastasia.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Yang-Mills correlation functions from integrable spin chains

AU - Roiban, Radu

AU - Volovich, Anastasia

PY - 2004/9/1

Y1 - 2004/9/1

N2 - The relation between the dilatation operator of N = 4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX1/2 chain.

AB - The relation between the dilatation operator of N = 4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX1/2 chain.

UR - http://www.scopus.com/inward/record.url?scp=23044431614&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044431614&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:23044431614

VL - 8

SP - 719

EP - 742

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

ER -