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Phys. Rev. Lett. 77, 3078–3081 (1996)

Q2 Evolution of Chiral-Odd Twist-3 Distributions hL(x,Q2) and e(x,Q2) in Large- Nc QCD

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I. I. Balitsky1, V. M. Braun2, Y. Koike3, and K. Tanaka4
1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
2NORDITA, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
3Department of Physics, Niigata University, Niigata, 950-21 Japan
4Department of Physics, Juntendo University, Inba-gun, Chiba 270-16, Japan

Received 29 May 1996; published in the issue dated 7 October 1996

We prove that the twist-3 chiral-odd parton distributions obey simple Gribov-Lipatov-Altarelli-Parisi evolution equations in the limit Nc and give analytic results for the corresponding anomalous dimensions. To this end we introduce an evolution equation for the corresponding three-particle twist-3 parton correlation functions and find an exact analytic solution. For large values of n (operator dimension) we are further able to collect all corrections subleading in Nc, so our final results are valid to O((1/Nc2)ln(n)/n) accuracy.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.3078
DOI:
10.1103/PhysRevLett.77.3078
PACS:
11.15.Pg, 11.10.Hi, 12.38.Bx, 13.85.Qk