Advertisement

Perturbative Methods in Field Theory

  • Philippe A. Martin
  • François Rothen
Chapter
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

In the preceding chapters, we have described several physical systems, photons, phonons, electron gas, nuclei, which we treated using semi-quantitative methods: orders of magnitude, models, variational methods. The object of Chaps. 9 and 10 is to develop a more systematic method for calculating the effects of the interactions: the perturbation method. One finds that all the perturbative calculations used in field theory and in many-body problems are essentially derived from the same common core,the time-dependent perturbative methods of quantum mechanics. At a strictly formal level, the method offers us a large degree of generality. One must nevertheless take care not to abuse this apparent generality. While the basic formalism is unique, the applications are as diverse as the physical situations being considered. Thus, before beginning any significant perturbative calculation, it is necessary to first consider carefully the physical effects and their orders of magnitude. The art of a perturbative calculation lies in the judicious handling of a well-posed physical question. Before performing any calculations, it is important to first determine the physical relevance of the expected results.

Keywords

Green Function Feynman Diagram Perturbative Expansion Perturbation Series Perturbative Calculation 
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.

Unable to display preview. Download preview PDF.

References

Feynman Diagrams

  1. R. A. Mattuck, A guide to Feynman diagrams in the many-body problem, McGraw-Hill, 1967.Google Scholar
  2. S. M. Bilenky, Introduction to Feynman diagrams, Pergamon, 1974.Google Scholar
  3. M. D. Scadron, Advanced quantum theory and its application through Feynman diagrams, Springer, 1979.Google Scholar

Elementary Particles, Photons and Electrons

  1. W. E. Thirring, Principles of quantum electrodynamics, Academic Press, 1958.Google Scholar
  2. R. P. Feynman, Quantum electrodynamics, Benjamin, 1962.Google Scholar
  3. R. Omnes, Introduction to particle physics, Interscience, 1971.Google Scholar
  4. J. M. Jauch, F. Rohrlich, The theory of photons and electrons (2nd edition), Springer, 1980.Google Scholar
  5. T. D. Lee, Particle physics and introduction to field theory, Harwood Academic Publishers, 1981.Google Scholar
  6. T. P. Cheng, L. F. LI, Gauge theory of elementary particle physics, Clarendon Press, 1984.Google Scholar
  7. B. De Wit, J. Smith, Field theory in particle physics, North-Holland, 1986.Google Scholar
  8. B. R. Martin, G. Shaw, Particle physics, Wiley, 1992.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Philippe A. Martin
    • 1
  • François Rothen
    • 2
    • 3
  1. 1.Institute of Theoretical PhysicsSwiss Federal Institute of TechnologyLausanneSwitzerland
  2. 2.University of LausanneLausanneSwitzerland
  3. 3.Institute of Complex Matter PhysicsSwiss Federal Institute of TechnologyLausanneSwitzerland

Personalised recommendations