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C. G. Callan, S. Coleman, and R. Jackiw, Ann. of Phys. (New York), vol. 59, p. 42, 1970. A generalized version of the identities was given by S. Weinberg, Phys. Rev., ser. D, vol. 8, p. 3497, 1973. The one-loop computation of the f3 function for nonabelian gauge fields is due to D. J. Gross and F. Wilczek, Phys. Rev. Lett., vol. 30, p. 1343, 1973, and H. D. Politzer, Phys. Rev. Lett., vol. 30, p. 1346, 1973. The calculation to second order was carried out by W. E. Caswell, Phys. Rev. Lett., vol. 33, p. 244, 1974, D. R. T. Jones, Nucl. Phys., ser. B, vol. 75, p. 531, 1974, and A. A. Belavin and A. A. Migdal, JETP Lett., vol. 19, p. 181, 1974. G. Parisi, Nuov. Cim. Lett., vol. 7, p. 84, 1973, and C. G. Callan and D. J. Gross, Phys. Rev., ser. D, vol. 8, p. 4383, 1973, have discussed the consequences of positivity properties of the anomalous dimensions. The asymptotic freedom theorem is due to S. Coleman and D. J. Gross, Phys. Rev. Lett., vol. 31, p. 851, 1973. For a review of deep inelastic scattering see, for instance, F. Gilman's report in "Proceedings of the XVII International Conference on High Energy Physics, London 1974," published by the Science Research Council, Rutherford Laboratory, Chilton, Didcot, UK. For parton dynamics in the infinite momentum frame see R. P. Feynman, Phys. Rev. Lett., vol. 23, p. 1415, 1969, J. D. Bjorken and E. A. Paschos, Phys. Rev., vol. 185,p. 1975, 1969,and S. D. Drelland T.M. Yan, Ann. ofPhys. (New York), vol. 66, p. 578, 1971. The relation of the phenomenological model with light-cone expansions is reviewed by Y. Frishman in the "Proceedings of the Sixteenth International Conference on High Energy Physics, Batavia," vol. 4, edited by J. D. Jackson and A. Roberts, National Accelerator Laboratory, Batavia, Ill., 1972. The subject is covered in detail by R. P. Feynman in "Photon-Hadron Interactions," Benjamin, Reading, Mass., 1972. The short-distance expansion was suggested by K. Wilson, Phys. Rev., vol. 179, p. 1499,1969, and Phys. Rev., ser. D, vol. 3, p. 1818, 1971. A detailed investigation was carried out by W. Zimmermann, Ann. of Phys. (New York), vol. 77, pp. 536 and 570, 1973. Applications to selection rules in weak interactions are found in S. Weinberg, Phys. Rev. Lett., vol. 31, p. 494, 1973, Phys. Rev., ser. D, vol. 8, p. 4482, 1974, and Rev. Mod. Phys., vol. 46, p. 255, 1974. For the M = i rule in nonleptonic decays see M. K. Gaillard and B. W. Lee, Phys. Rev. Lett., vol. 33, p. 108, 1974, and G. Altarelli and L. Maiani, Phys. Lett., ser. B, vol. 52, p. 351, 1974. Extension of Wilson's expansion to light-cone infinite summation is due to R. A. Brandt and G. Preparata, Nucl. Phys., ser. B, vol. 27, p. 541, 1971. O. Nachtmann, Nucl. Phys., ser. B, vol. 63, p. 237, 1973, gives a discussion of group theoretic aspects and positivity constraints. Problems of gauge invariance are investigated by J. A. Dixon, Nucl. Phys., ser. B, vol. 99, p. 420,1975, H. KlubergStern and J. B. Zuber, Phys. Rev., ser. D, vol. 12, p. 3159, 1975, and B. W. Lee and S. Joglekar, Ann. of Phys. (New York), vol. 97, p. 160, 1976. Applications of asymptotically free theories to the moments of the deep inelastic structure functions are considered by H. Georgi and H. D. Politzer,
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Phys. Rev., ser. D, vol. 9, p. 416, 1974, and D. J. Gross and F. Wilczek, Phys. Rev., ser. D, vol. 9, p. 920, 1974. To this very incomplete list we should add the following reviews and lecture notes which were most useful in preparing this chapter: S. Coleman in "Properties of the Fundamental Interactions," edited by A. Zichichi, Editrice Compositor~ Bologna, 1973; R. J. Crewther in "Weak and Electromagnetic Interactions at High Energies, Cargese 1975," edited by M. Levy, J. L. Basdevant, D. Speiser, and R. Gastmans, Plenum Press, New York, 1976; C. G. Callan and D. J. Gross, in "Methods in Field Theory," edited by R. Balian and J. Zinn-Justin, North-Holland, Amsterdam, 1976; and H. D. Politzer, Phys. Rep., vol. 14, p. 129, 1974. The relevance and application of the asymptotic field theory to critical phenomena is discussed by E. Brezin, J. C. Le Guillou, and 1. Zinn-Justin, in "Phase Transitions and Critical Phenomena," vol. VI, edited by C. Domb and M. S. Green, Academic Press, New York, 1977, and in the textbook by D. Amit, "Field Theory, the Renormalization Group, and Critical Phenomena," McGrawHill, New York, 1978.
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