Coleman and Coleman-Okubo Theorems in Relativistic Quantum Field Theory
1974; Wiley; Volume: 22; Issue: 8 Linguagem: Inglês
10.1002/prop.19740220804
ISSN1521-3978
Autores Tópico(s)Particle physics theoretical and experimental studies
ResumoFortschritte der PhysikVolume 22, Issue 8 p. 481-497 Article Coleman and Coleman-Okubo Theorems in Relativistic Quantum Field Theory Eldad Gal-Ezer, Eldad Gal-Ezer Department of Physics and Astronomy, Tel-Aviv University, IsraelSearch for more papers by this authorHelmut Reeh, Helmut Reeh Institut für Theoretische Physik, Universität Göttingen, BRDSearch for more papers by this author Eldad Gal-Ezer, Eldad Gal-Ezer Department of Physics and Astronomy, Tel-Aviv University, IsraelSearch for more papers by this authorHelmut Reeh, Helmut Reeh Institut für Theoretische Physik, Universität Göttingen, BRDSearch for more papers by this author First published: 1974 https://doi.org/10.1002/prop.19740220804Citations: 7AboutPDF 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 Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Footnotes and References 1 S. Coleman, J. Math. Phys. 7, 787 (1966). 2 S. Okubo, Nuovo Cimento 42A, 1029 (1966) and Nuovo Cimento 44 A, 1015 (1966). 3 B. Schroer and P. Stichel, Comm. Math. Phys. 2, 108 (1966). 4 A comprehensive review article is: G. A. Orzalesi, Rev. Mod. Phys. 42, 381 (1970). 5 G. F. Dell'Antonio, Nuovo Cimento 47A, 1 (1967). 6 E. Fabri and L. E. Picasso, Phys. Rev. Letters 16, 408 (1966). 7 A. Epstein, K. Hepp and J. Nuyts, “ Quantum Field Theory Seminar Notes”, Princeton 1966 (unpublished). 8 J. A. Swieca, Phys. Rev. Letters 17, 974 (1966). 9 H. Genz, Phys. Letters 31B, 146 (1970). 10 J. Katz, Nuovo Cimento 3A, 263 (1971) and Phys. Rev. D4, 1885 (1971). 11 S. K. Bose and W. D. McGlinn, Phys. Rev. D 4, 342 (1971). 12 G. Mack and A. Salam, Ann. Phys. (N.Y.) 53, 174 (1969). 13 H. Reeh, Nuovo Cimento 4A, 566 (1971) and Statistical Mechanics and Field Theory, R. N. Sen and C. Weil (eds.), Halsted Press and Israel Universitics Press, 1972. 14 E. Gal-Ezer, Nuovo Cimento 10 A, 682 (1972). 15 H. Reeh, “ Coleman's Theorem”, unpublished seminar talk, 1972. 16 E. Gal-Ezer, Comm. Math. Phys. 30, 1 (1973). 17 E. Gal-Ezer and Y. Dothan, Nuovo Cimento 12 A, 465 (1972). 18 R. F. Streater and A. S. Wightman, PCT, Spin and Statistics and All That, Benjamin, 1964. 19 This follows e.g. by using the spectral resolution of the translations, together with the temperedness of Wightman fields. 20 This is a consequence of Theorem 4–3 of ref. [18]. 21 K. Pohlmeyer, Comm. Math. Phys. 12, 204 (1969). 22 H. Reeh, Fortschr. Phys. 16, 687 (1968). 23 D. Maison and H. Reeh, Comm. Math. Phys. 24, 67 (1971). 24 J. M. Jauch and F. Rohrlich, “ The Theory of Photons and Electrons”, Addison-Wesley Pub. Co. 1159, page 48. 25 Several results for the general case can be found in ref. [17] and ref. [27]. As a mass gap is assumed in the relevant theorems in ref. [17], the present results are stronger in the common domain of application. 26 C. G. Callan, Jr., S. Coleman and R. Jackiw, Ann. Phys. (N.Y.) 59, 42 (1970). 27 R. Ferrari, “On Goldstone's Theorem for a Class of Currents Not Covariant under Translations”, Preprint, Pisa May 1972. 28 A. Katz and Y. Frishman, Nuovo Cimento Suppl. 5, 149 (1967). 29 R. Dashen and M. Gell-Mann, Phys. Letters 17, 142 and 145 (1965). Citing Literature Volume22, Issue81974Pages 481-497 ReferencesRelatedInformation
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