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

A. V. Belitsky; E. A. Kuraev

doi:10.1016/S0550-3213(97)00306-4

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

A. V. Belitsky, E. A. Kuraev

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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
DOIs	https://doi.org/10.1016/S0550-3213(97)00306-4
State	Published - Aug 18 1997
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(97)00306-4

Cite this

@article{86e0dc05c4984d5d850c4b3a8db0285b,

title = "Evolution of chiral-odd spin-independent fracture functions in quantum chromodynamics",

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 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.",

keywords = "Cut vertex, Evolution, Factorization, Fragmentation function, Light-cone gauge, Renormalization group",

author = "Belitsky, {A. V.} and Kuraev, {E. A.}",

note = "Funding Information: to him during his visit where this work has been finished. He benefited from useful discussions with V.M. Braun, D. Miiller and M.A. Shifman. This work was supported by Russian Foundation for Fundamental Research, grant N 96-02-17631.",

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doi = "10.1016/S0550-3213(97)00306-4",

language = "English (US)",

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

AU - Belitsky, A. V.

AU - Kuraev, E. A.

N1 - Funding Information: to him during his visit where this work has been finished. He benefited from useful discussions with V.M. Braun, D. Miiller and M.A. Shifman. This work was supported by Russian Foundation for Fundamental Research, grant N 96-02-17631.

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

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U2 - 10.1016/S0550-3213(97)00306-4

DO - 10.1016/S0550-3213(97)00306-4

M3 - Article

AN - SCOPUS:0031577396

SN - 0550-3213

VL - 499

SP - 301

EP - 318

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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