Introduction to Classical and Quantum Lagrangian Field Theory

  • R. P. Saxena
Part of the Fundamental Theories of Physics book series (FTPH, volume 29)


Classical field theory may be regarded as a generalization of Lagrangian mechanics in the sense that generalized coordinates which are functions of a parameter (time) get replaced by fields which are functions of local parameters in a four-dimensional continuum, viz. spacetime coordinates. These local functions or local fields, being the generalized coordinates of the classical field theory, satisfy Euler—Lagrange equations of motion which are called field equations. The field equations result from an appropriate action principle, just as in classical mechanics.


Lagrangian Density Dimensional Regularization Lamb Shift Canonical Quantization Classical Field Theory 
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Further Reading

  1. 1.
    C. Itzykson and J. B. Zuber, Quantum Field Theory, McGraw-Hill 1985.Google Scholar
  2. 2.
    L. H. Ryder, Quantum Field Theory, Cambridge Univ. Press, 1985.zbMATHGoogle Scholar
  3. 3.
    J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields, McGraw-Hill, 1965.zbMATHGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • R. P. Saxena
    • 1
  1. 1.Department of Physics and AstrophysicsDelhi UniversityNew DelhiIndia

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