Renormalization theory, a short account of results and problems
Part I: Non-linear Field Transformations in 4 Dimensions
First Online:
Keywords
Green Function Ward Identity Power Counting Renormalization Scheme Adiabatic Limit
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- [1]H. Epstein and V. Glaser, Ann. Inst. Henri Poincaré 29 (1973) 211.Google Scholar
- [2]R. Jost, The General Theory of Quantized Fields, Amer. Math. Soc., Providence R.I., 1965.Google Scholar
- [3]N.N. Bogoliubov and D.V. Shirkov, Introduction to the Theory of Quantized Fields, Wiley-Intersience, New York, 1959.Google Scholar
- [4]H. Epstein, Nuov. Cim. 27 (1963) 886.Google Scholar
- [5]W. Zimmermann, Ann. Phys. (N.Y.) 77 (1973) 536.CrossRefGoogle Scholar
- [6]H. Epstein, in Renormalization Theory, G. Velo and A. Wightman eds., Dordrecht, 1976.Google Scholar
- [7]J.H. Lowenstein and W. Zimmermann, Nucl. Phys. B 86 (1975) 77.CrossRefGoogle Scholar
- [8]P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 55.CrossRefGoogle Scholar
- [9]G. Bandelloni, C. Becchi, A. Blasi and R. Collina, Commun. Math. Phys. 67 (1978) 147.CrossRefGoogle Scholar
- [10]O. Piguet and K. Sibold, Nucl. Phys. B 247 (1984) 484, Nucl. Phys. B 248 (1984) 336 and Nucl. Phys. B 249 (1984) 396.CrossRefGoogle Scholar
- [11]J. Schwinger, Phys. Rev. 82 (1951) 914, Phys. Rev. 91 (1953) 713.CrossRefGoogle Scholar
- [12]J. Lowenstein, Commun. Math. Phys. 24 (1971) 1.CrossRefGoogle Scholar
- [13]Yuk-Ming P. Lam, Phys. Rev. D 8 (1973) 2943.Google Scholar
- [14]C. Becchi, A. Rouet and R. Stora, Ann. Phys. (N.Y.) 98 (1976) 287.CrossRefGoogle Scholar
- [15]W. Siegel, Phys. Lett. 84 B (1979) 193.Google Scholar
- [16]L.D. Faddeev and A.A. Slavnov, Gauge Fields, Introduction to Quantum theory, Benjamin, Reading, 1980.Google Scholar
- [17]R. van Damme, Nucl. Phys. B 227 (1983) 317CrossRefGoogle Scholar
- [17a]M.E. Machacek and M.T. Vaughn, Nucl. Phys. B 222 (1983) 83CrossRefGoogle Scholar
- [17b]I. Jack and H. Osborn, preprint DAMTP 84/2.Google Scholar
- [17c]N.N. Bogoliubov and D.V. Shirkov, Quantum Fields, Benjamin, Cummings, Reading Mass., 1983.Google Scholar
- [17d]E.R. Speer, Generalized Feynman Amplitudes, Princeton University Press, Princeton, 1969.Google Scholar
- [17F]K. Hepp, Théorie de la renormalisation, Lecture Notes in Physics Vol. 2, Springer, Berlin, 1969.Google Scholar
- [17G]C. de Witt and R. Stora eds., Renormalisation Theory in Statistical Mechanics and Quantum Field Theory, Gordon and Breach, New York, 1970.Google Scholar
- [17H]G. Velo and A.S. Wightman eds., Renormalization Theory, Reidel, Dordrecht, 1976.Google Scholar
- [17I]O. Piguet and A. Rouet, Symmetries in perturbative quantum field theory, Phys. Rep. 76 (1981) 1.CrossRefGoogle Scholar
- [17J]C. Becchi, The renormalization of gauge theories, Les Houches 1983, B.S. deWitt and R. Stora eds., Elsevier, 1984.Google Scholar
- [17K]O. Piguet and K. Sibold, Renormalized Supersymmetry, Birkhäuser, Boston, 1986.Google Scholar
Copyright information
© Springer-Verlag 1988