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• W1976981908 abstract "Fortschritte der PhysikVolume 22, Issue 7 p. 407-429 Article Theoretical Aspects of e+e−-annihilation into Hadrons Harald Fritzsch, Harald Fritzsch California Institute of Technologie, Pasadena, California 91109Search for more papers by this author Harald Fritzsch, Harald Fritzsch California Institute of Technologie, Pasadena, California 91109Search for more papers by this author First published: 1974 https://doi.org/10.1002/prop.19740220703Citations: 1AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL References and Footnotes 1 J. D. Bjorken, Phys. Rev. 148, 1467 (1966). 2 V. N. Gribov, B. L. Ioffe, I. Pomeranchuk, Yadern. Fiz. 6, 586 (1967). 3 K. G. Wilson, Phys. Rev. 179, 1499 (1969). 4 R. P. Feynman, Photon-Hadron Interactions, W. A. Benjamin, Inc. 1972. 5 S. D. Drell, D. J. Levy, T. M. Yan, Phys. Rev. D1, 1617 (1970). 6 H. Fritzsch, M. Gell-Mann, Proceedings of the International Conference on Duality and Symmetry in Hadron Physics, Weizmann Science Press, Jerusalem 1971. 7 H. Leutwyler, Superlocal Sources, in Magic, without Magic, J. A. Wheeler, Freeman Co., San Francisco (1972). 8 W. A. Bardeen, H. Fritzsch, M. Gell-Mann, CERN-preprint TH-1538, printed in: Scale and Conformal Symmetry in Hadron Physics, John Wiley & Sons, Inc., p. 139 (1973). 9 R. J. Crewther, Phys. Rev. Letters 28, 1421 (1972). see also: E. J. Schreier, Phys. Rev. D3, 982 (1971). 10 Strictly speaking, this is not an extra assumption, since conformal invariance follows from scale invariance. On the scale invariance limit the trace of the stress tensor vanishes, which leads automatically to conformal invariance. 11 P. R. Feynman, M. Gell-Mann, G. Zweig, Phys. Rev. Letters 13, 678 (1964). 12 S. L. Adler, Phys. Rev. 177, 2426 (1969). J. S. Bell, R. Jackiw, Nuovo Cimento 60 A, 47 (1969). 13 S. L. Adler, 1970 Brandeis University Summer Institute, MIT Press, Cambridge, Mass. 1971. 14 I would like to thank R. Crewther for discussions about this point. 15 See for example: S. Wojcicki, Proceedings of the XVI International Conference on High Energy Physics, Chicago 1972. 16 J. D. Bjorken, Phys. Rev. 148, 1467 (1966). 17 R. Brandt, G. Preparata, Ann. Phys. 61, 119 (1970). S. Drell, SLAC preprint 1973. 18 H. Fritzsch, M. Gell-Mann, H. Leutwyler, to be published. 19 O. W. Greenberg, Phys. Rev. Letters 13, 598 (1964). 20 H. Fritzsch, M. Gell-Mann, Proceedings of the XVI International Conference on High Energy Physics, Chicago 1972, Volume 2, p. 135. H. Fritzsch, M. Gell-Mann, H. Leutwyler, Caltech preprint 1973. 21 The infrared divergences in this model cannot be overcome by a similar procedure as in electro dynamics because of the non-abelian character of the gauge group (the emission of a soft gauge boson can change the discrete color quantum number). It is possible that an S-matrix can be defined only for uncolored states and that uncolored in-states lead with probability one to uncolored out-states. 22 M. Han, Y. Nambu, Phys. Rev. 139, 1006 (1965). 23 S. L. Glashow, J. Iliopoulos, L. Maiani, Phys. Rev. D2, 1285 (1970). 24 M. Gell-Mann, Phys. Rev. 125, 1067 (1962). M. Gell-Mann, R. J. Oakes, B. Renner, Phys. Rev. 175, 2195 (1968). S. Glashow, S. Weinberg, Phys. Rev. Letters 20, 224 (1968). 25 H. Fritzsch, Thesis, Technical University Munich, 1971. See also: R. L. Jaffe, C. H. Llewellyn Smith, MIT preprint 1973. 26 H. Fritzsch, H. Leutwyler, to be published. 27 S. Weinberg, Phys. Rev. Letters 18, 507 (1967). 28 See for example: V. Silvestrini, Proceedings of the XVI Int. Conference on High Energy Physics, Volume 4. 29 This generalized form of duality is due to: J. Jersak, H. Leutwyler, J. Stern, to be published in Nuclear Physics. See also: J. J. Sakurai, UCLA preprint 73/TEP/76, M. Bühm, H. Joos, M. Krammer, DESY preprint 73/20 (1973), C. J. Gounaris, CERN-preprint TH-1734. 30 D. Gross, F. Wilczek, Phys. Rev. Letters 26, 1343 (1973). H. D. Politzer, Phys. Rev. Letters 26, 1346 (1973). 31 A. Zee, Rockefeller preprint COO-2232B-30. 32 J. Ellis, Phys. Letters 35B, 537 (1971). 33 J. D. Stack, Phys. Rev. Letters 28, 57 (1972). 34 O. Nachtmann, Phys. Rev. D6, 1718 (1972). 35 H. Fritzsch, P. Minkowski, Nuclear Physics B55, 363 (1973). 36 J. Ellis, Y. Frishman, Caltech preprint 1973. 37 R. Brandt, Wing-Chin Ng, NYU-preprint 1973. 38 Feynman's overlap mechanism to avoid quark quantum numbers does presumably not work if one has only short range forces (J. Kogut, D. K. Sinclair, L. Susskind, to be published). 39 This seems to happen in two-dimensional vector gluon theory, see: A. Casher, J. Kogut, L. Susskind, Tel Aviv University preprint 1973. 40 See e.g. S. J. Brodsky, Proceedings of the XVI International Conference on High Energy Physics, Chicago 1972, Vol. 2. 41 D. J. Gross, S. B. Treimann, Phys. Rev. D4, 2105 (1971). 42 We use the normalization 0|δμF|δ0 = mμ2Fμ, <0|F3μ|δ0 = δμmηFσ etc. States are normalized to p′ | p = (2)32p0δ3(p′ – p). Citing Literature Volume22, Issue71974Pages 407-429 ReferencesRelatedInformation" @default.
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