Low Energy Aspects of Broken Scale Invariance

  • H. Kleinert
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 9/1972)


The observation of the scaling properties of the structure functions W1 and vW2 of deep inelastic electron nucleon scattering [1]+ has been taken by many people as an indication for an approximate scale invariance of the world.It was pointed out by Wilson [2], that in many field theories it is possible to assign a dimension d to every fundamental field, which proves to be a conserved quantum number as far as the most singular term of an operator product expansion at small distances ((x−y)μ →o) is concerned++. Later it was shown, at the canonical level, that in many field theories the dimension of a field seems to be a good quantum number even in the terms less singular at small (x−y)μ, as long as they all belong to the strongest light cone singularity (i.e. (x−y)2→o) [3].


Scale Invariance Ward Identity Energy Momentum Tensor Current Algebra Pion Mass 
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Copyright information

© Springer-Verlag Wien 1972

Authors and Affiliations

  • H. Kleinert
    • 1
  1. 1.Institut für Theoretische PhysikFreie Universität BerlinGermany

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