New sum rules for polarized deep inelastic scattering |
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| Institution: | 1. Key Laboratory of Mesoscopic Chemistry of MOE, College of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China;2. Technology Center of Shanghai Tobacco (Group) Company, Shanghai 200082, China;1. Dipartimento di Matematica ed Informatica, Università degli Studi di Firenze, Viale Morgagni 65, 50134, Firenze, Italy;2. CEDRIC, CNAM, 292 rue St-Martin, 75141, Paris cedex 03, France;3. Dipartimento di Ingegneria dell''Informazione e Scienze Matematiche, Università di Siena, Via Roma, 56, 53100 Siena, Italy;1. School of Science, Beijing University of Chemical Technology, Beijing 100029, China;2. Department of Mathematics, College of Science, Swansea University, Swansea SA2 8PP, UK;1. School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei Province, 430072, PR China;2. Department of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom;3. Steklov Mathematical Institute, Division of Algebra and Number Theory, ul. Gubkina, 8, Moscow, 119991, Russia;4. IITP RAS, Bolshoy Karetny per. 19, Moscow, 127994, Russia;1. Faculty of Mathematics and Computer Science, Technische Universität Bergakademie Freiberg, Germany;2. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Viet Nam |
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| Abstract: | Relations between the structure functions g1 and g2 of polarized DIS are derived in the leading perturbative QCD approximation, starting with the sum rules for twist-3 parton correlation functions which follow from gauge invariance and the equation of motion of the quark fields. For the first moments they coincide with the approximate relations proposed earlier by Wandzura and Wilczek as well as Bukhvostov, Kuraev and Lipatov. |
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