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Quantum Fields

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

Abstract

In classical physics, a field is described by one or more space—time functions which satisfy certain partial differential equations. Several important examples were already noted in Chap. 1: the vector potential A cl(x, t) of the electromagnetic field and the elastic displacement field u cl(x, t). A classical field can be imagined as an infinite and continuous ensemble of degrees of freedom: a pair of dynamical variables is attached to each point x in space R 3, the amplitude u cl(x, t) of the field at time t and its time derivative (∂/∂t)u cl(x, t). The coupled evolution of this ensemble of degrees of freedom is governed by the differential equation of the field.

Keywords

Electromagnetic Field Scalar Field Coherent State Massive Scalar Gauge Field 
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.

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References

Theory of Radiation

  1. W. Heitler, The quantum theory of radiation, Clarendon, 1954 (3rd edition).Google Scholar
  2. S. M. Kay, A. Maitland, Quantum optics, Academic Press, 1970.Google Scholar
  3. R. Loudon, The quantum theory of light, Clarendon, 1973.Google Scholar
  4. H. Haken, Light (2 vol.), North-Holland, 1981.Google Scholar
  5. W. P. Healy, Non-relativistic quantum electrodynamics, Academic Press, 1982.Google Scholar
  6. C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Photons et atomes, Inter Editions, 1987.Google Scholar

General Field Theory

  1. N. N. Bogoliubov, D. V. Shirkov, Introduction to the theory of quantized fields, Wiley, 1959.Google Scholar
  2. J. D. Bjorken, S. D. Drell, Relativistic quantum mechanics, McGraw-Hill, 1964.Google Scholar
  3. J. D. Bjorken, S. D. Drell, Relativistic quantum fields, McGraw-Hill, 1965.Google Scholar
  4. P. Roman, Introduction to quantum field theory, Wiley, 1969.Google Scholar
  5. E. G. Harris, A pedestrian approach to quantum field theory, Wiley, 1972.Google Scholar
  6. V. B. Berestetski, E. M. Lifchitz, L. P. Pitaevski, Relativistic quantum theory (2 vol.), Pergamon Press, 1977.Google Scholar
  7. C. Itzykson, J. B. Zuber, Quantum field theory, McGraw-Hill, 1980.Google Scholar
  8. J. ZInN-Justin, Quantum field theory and critical phenomena, Clarendon Press, 1989.Google Scholar
  9. M. Le Bellac, Quantum and statistical field theory, Clarendon Press, 1991.Google Scholar
  10. S. Weinberg, The quantum theory of fields (2 vol.), Cambridge University Press, 1995.Google Scholar
  11. M. E. Peskin, D. V. Schroeder, An introduction to quantum field theory, Perseus Books, 1995.Google Scholar

Gauge Theories

  1. A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski, Methods of quantum field theory in statistical physics, Prentice Hall, 1963.Google Scholar
  2. J. Leite Lopez, Gauge field theories: an introduction, Pergamon Press, 1981.Google Scholar
  3. E. Leader, E. Predazzi, An introduction to gauge theories and the new physics, Cambridge University Press, 1982.Google Scholar
  4. K. Moriyasu, An elementary primer for gauge theory, World Scientific, 1983.Google Scholar
  5. M. Guidry, Gauge field theories, Wiley, 1991.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

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