The O(3,1) Analysis of Currents and Current Commutators

  • W. Rühl
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 7/1970)


A current density operator jμ (x) between oneparticle states <P2,q2 | jµ (o) | P1q1>is the simplest example of a covariant (in this case: vector) operator connecting two (in this case: reducible unitary) representations of the group SL(2,C). In these lectures we review first the representation theory of the group SL(2,C). This enables us to derive a decomposition theorem for covariant operators with heuristic arguments. By this theorem we can decompose any covariant operator into a direct integral of irreducible covariant operators, which are defined to connect two irreducible representations of SL(2,C). This formalism is then applied to several problems of physical interest.


Matrix Element Asymptotic Expansion Covariant Operator Canonical Basis Vertex Function 
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Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • W. Rühl
    • 1
  1. 1.CERNGenevaSwitzerland

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