Renormalization theory, a short account of results and problems

  • Dieter Maison
Part I: Non-linear Field Transformations in 4 Dimensions
Part of the Lecture Notes in Physics book series (LNP, volume 303)

Keywords

Green Function Ward Identity Power Counting Renormalization Scheme Adiabatic Limit 
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References

  1. [1]
    H. Epstein and V. Glaser, Ann. Inst. Henri Poincaré 29 (1973) 211.Google Scholar
  2. [2]
    R. Jost, The General Theory of Quantized Fields, Amer. Math. Soc., Providence R.I., 1965.Google Scholar
  3. [3]
    N.N. Bogoliubov and D.V. Shirkov, Introduction to the Theory of Quantized Fields, Wiley-Intersience, New York, 1959.Google Scholar
  4. [4]
    H. Epstein, Nuov. Cim. 27 (1963) 886.Google Scholar
  5. [5]
    W. Zimmermann, Ann. Phys. (N.Y.) 77 (1973) 536.CrossRefGoogle Scholar
  6. [6]
    H. Epstein, in Renormalization Theory, G. Velo and A. Wightman eds., Dordrecht, 1976.Google Scholar
  7. [7]
    J.H. Lowenstein and W. Zimmermann, Nucl. Phys. B 86 (1975) 77.CrossRefGoogle Scholar
  8. [8]
    P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 55.CrossRefGoogle Scholar
  9. [9]
    G. Bandelloni, C. Becchi, A. Blasi and R. Collina, Commun. Math. Phys. 67 (1978) 147.CrossRefGoogle Scholar
  10. [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. [11]
    J. Schwinger, Phys. Rev. 82 (1951) 914, Phys. Rev. 91 (1953) 713.CrossRefGoogle Scholar
  12. [12]
    J. Lowenstein, Commun. Math. Phys. 24 (1971) 1.CrossRefGoogle Scholar
  13. [13]
    Yuk-Ming P. Lam, Phys. Rev. D 8 (1973) 2943.Google Scholar
  14. [14]
    C. Becchi, A. Rouet and R. Stora, Ann. Phys. (N.Y.) 98 (1976) 287.CrossRefGoogle Scholar
  15. [15]
    W. Siegel, Phys. Lett. 84 B (1979) 193.Google Scholar
  16. [16]
    L.D. Faddeev and A.A. Slavnov, Gauge Fields, Introduction to Quantum theory, Benjamin, Reading, 1980.Google Scholar
  17. [17]
    R. van Damme, Nucl. Phys. B 227 (1983) 317CrossRefGoogle Scholar
  18. [17a]
    M.E. Machacek and M.T. Vaughn, Nucl. Phys. B 222 (1983) 83CrossRefGoogle Scholar
  19. [17b]
    I. Jack and H. Osborn, preprint DAMTP 84/2.Google Scholar
  20. [17c]
    N.N. Bogoliubov and D.V. Shirkov, Quantum Fields, Benjamin, Cummings, Reading Mass., 1983.Google Scholar
  21. [17d]
    E.R. Speer, Generalized Feynman Amplitudes, Princeton University Press, Princeton, 1969.Google Scholar
  22. [17F]
    K. Hepp, Théorie de la renormalisation, Lecture Notes in Physics Vol. 2, Springer, Berlin, 1969.Google Scholar
  23. [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
  24. [17H]
    G. Velo and A.S. Wightman eds., Renormalization Theory, Reidel, Dordrecht, 1976.Google Scholar
  25. [17I]
    O. Piguet and A. Rouet, Symmetries in perturbative quantum field theory, Phys. Rep. 76 (1981) 1.CrossRefGoogle Scholar
  26. [17J]
    C. Becchi, The renormalization of gauge theories, Les Houches 1983, B.S. deWitt and R. Stora eds., Elsevier, 1984.Google Scholar
  27. [17K]
    O. Piguet and K. Sibold, Renormalized Supersymmetry, Birkhäuser, Boston, 1986.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Dieter Maison
    • 1
  1. 1.Max-Planck-Institut für Physik und AstrophysikWerner-Heisenberg-Institut für PhysikMunichGermany

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