Communications in Mathematical Physics

, Volume 7, Issue 3, pp 190–217 | Cite as

Spectral representations of Lorentz invariant distributions and scale transformation

  • A. Rieckers
  • W. Güttinger


An approach to the theory of Lorentz invariant distributions is developed in terms of covariant spectral representations. The behaviour of singular invariant distributions under a change of scale is analyzed. It is shown that the conventional extension of homogeneous singular functions into distributions inR4, followed by a breakdown of homogeneity, is incomplete. Homogeneous extensions depending on an arbitrary scaling parameter are introduced, calculation techniques are developed and various formulae having applications in quantum field theory are derived.


Neural Network Statistical Physic Field Theory Complex System Quantum Field Theory 
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Copyright information

© Springer-Verlag 1968

Authors and Affiliations

  • A. Rieckers
    • 1
  • W. Güttinger
    • 1
  1. 1.Department of PhysicsUniversity of MunichGermany

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