### Abstract

We construct evolution equations for the twist-3 chiral-odd spin-independent fracture functions in QCD. The Gribov-Lipatov reciprocity relation is fulfilled at the one-loop level for the quasipartonic two-particle cut vertices only. It is found that the rank of the anomalous dimension matrix is infinite for any given moment of the three-parton fracture function as distinguished from the case of DIS distributions where the rank of the matrix was finite and increases with the number of the moment. In the multicolour limit N_{c} → ∞ the evolution equation for the quark-gluon-quark correlation function decouples from another equation in the system and becomes homogeneous provided we discard the quark mass effects. This fact provides an opportunity to find its analytic solution explicitly in a non-local form similarly to DIS.

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

Pages (from-to) | 301-318 |

Number of pages | 18 |

Journal | Nuclear Physics B |

Volume | 499 |

Issue number | 1-2 |

State | Published - Aug 18 1997 |

Externally published | Yes |

### Fingerprint

### Keywords

- Cut vertex
- Evolution
- Factorization
- Fragmentation function
- Light-cone gauge
- Renormalization group

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*499*(1-2), 301-318.

**Evolution of chiral-odd spin-independent fracture functions in quantum chromodynamics.** / Belitsky, Andrei; Kuraev, E. A.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 499, no. 1-2, pp. 301-318.

}

TY - JOUR

T1 - Evolution of chiral-odd spin-independent fracture functions in quantum chromodynamics

AU - Belitsky, Andrei

AU - Kuraev, E. A.

PY - 1997/8/18

Y1 - 1997/8/18

N2 - We construct evolution equations for the twist-3 chiral-odd spin-independent fracture functions in QCD. The Gribov-Lipatov reciprocity relation is fulfilled at the one-loop level for the quasipartonic two-particle cut vertices only. It is found that the rank of the anomalous dimension matrix is infinite for any given moment of the three-parton fracture function as distinguished from the case of DIS distributions where the rank of the matrix was finite and increases with the number of the moment. In the multicolour limit Nc → ∞ the evolution equation for the quark-gluon-quark correlation function decouples from another equation in the system and becomes homogeneous provided we discard the quark mass effects. This fact provides an opportunity to find its analytic solution explicitly in a non-local form similarly to DIS.

AB - We construct evolution equations for the twist-3 chiral-odd spin-independent fracture functions in QCD. The Gribov-Lipatov reciprocity relation is fulfilled at the one-loop level for the quasipartonic two-particle cut vertices only. It is found that the rank of the anomalous dimension matrix is infinite for any given moment of the three-parton fracture function as distinguished from the case of DIS distributions where the rank of the matrix was finite and increases with the number of the moment. In the multicolour limit Nc → ∞ the evolution equation for the quark-gluon-quark correlation function decouples from another equation in the system and becomes homogeneous provided we discard the quark mass effects. This fact provides an opportunity to find its analytic solution explicitly in a non-local form similarly to DIS.

KW - Cut vertex

KW - Evolution

KW - Factorization

KW - Fragmentation function

KW - Light-cone gauge

KW - Renormalization group

UR - http://www.scopus.com/inward/record.url?scp=0031577396&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031577396&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031577396

VL - 499

SP - 301

EP - 318

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -