Quantum Fields

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


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.


Electromagnetic Field Scalar Field Coherent State Massive Scalar Gauge Field 
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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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