Abstract
Meson and baryon operators on the light cone are studied which reproduce the well-known parton distribution amplitudes as matrix elements between the vacuum and an one-meson (baryon) state. We extent our previous results to the case of the quark-gluon mixing which is relevan for the description of a flavour-singlet meson. The anomalous dimensions of the considered nonlocal light-cone operators are calculated explicity in the one-loop approximation. We thus recover the evolution kernels for meson and baryon wave functions derived earlier by other authors using different methods.
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References
N.S. Craigie, H. Dorn: Nucl. Phys.B 185, 204 (1981) and references therein
H. Dorn, D. Robaschik, E. Wiecorek: Ann. Phys.40, 166 (1983)
N.S. Craigie, V.K. Dobrev, I.T. Todorov: Ann. Phys.159, 411 (1985)
S.A. Anikin, O.I. Zavialov: Ann. Phys. (N.Y.)116, 135 (1978)
S.J. Brodsky et al.: Phys. Lett.91 B, 239 (1980)
A.V. Efremov, A.V. Radyushkin: Phys. Lett.94 B, 245 (1980); Theoret. Mat. Fiz.42, 147 (1980)
N.S. Craigie, J. Stern: Nucl. Phys.B 216, 209 (1983)
M. Bordag et al.. Yad. Fiz.37, 193 (1983)
Th. Braunschweig, J. Hořejši, D. Robaschik: Z. Phys. C—Particles and Fields23, 19 (1984)
M. Bordag et al.: Z. Phys. C—Particles and Fields26, 591 (1985)
Th. Braunschweig et al.: Proceedings of the XXII. International Conference on High Energy Physics Vol. 1, 91 (1984)
S.J. Brodsky, G.P. Lepage: Phys. Rev.D 22, 254 & 2157 (1980)
G.P. Lepage et al.: Particles and Fields 2 (Proc.Banff Summer Inst. 1981) 83 (1981)
V.N. Baier, A.G. Grozin: Yad. Fiz.35, 1021 (1981); Nucl. Phys.B 192, 477 (1981)
V.L. Chernyak, A.R. Zhitnitskii: Phys. Rep.112, 174 (1984)
B. Geyer: Czech. J. Phys.B 32, 645 (1982)
I.M. Gelfand, G.E. Schilow: Verallgemeinerte Funktionen. Berlin: VEB Verlag der Wissenschaft 1960; V.S. Vladimirov: Equations of mathematical physics (in Russian). Moscow: Nauka 1971
S.V. Mikhailov, A.V. Radyushkin: Nucl. Phys.B 254, 89 (1985); G.R. Katz: Phys. Rev.D 31, 652 (1985)
M.K. Chase: Nucl. Phys.B 174, 109 (1981)
V.L. Chernyak, A.R. Zhitnitskii: Nucl. Phys.B 246, 52 (1984)
E. Reya: Phys. Rep.69, 197 (1981); A. Buras: Rev. Mod. Phys.52, 199 (1980)
M. Peskin: Phys. Lett.88 B, 128 (1979)
Th. Ohrndorf: Nucl. Phys.B 198, 26 (1982)
Yu.L. Dokshitzer, D.I. Dyakonov, S.I. Troyan: Phys. Rep.C 58, 376 (1980)
A.H. Mueller: Phys. Rep.C 73, 237 (1981)
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Braunschweig, T., Geyer, B., Hořejší, J. et al. Hadron operators on the light-cone. Z. Phys. C - Particles and Fields 33, 275–280 (1986). https://doi.org/10.1007/BF01411146
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DOI: https://doi.org/10.1007/BF01411146