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Communications in Mathematical Physics

, Volume 54, Issue 3, pp 219–236 | Cite as

On the integrability of the Lie algebra of the conformal group in quantum field theory

  • Szymon Rabsztyn
Article
  • 45 Downloads

Abstract

It is shown that the infinitesimal conformal symmetry implies (in any quantum field theory which satisfies the Wightman axioms without invoking locality and global Poincaré symmetry) that there exists a uniquely defined unitary representation of the universal (∞-sheeted) covering group of the Minkowskian conformal groupSO e (4,2)/2. Proof was obtained using sufficient conditions for the integrability of a representation of a Lie algebra given by [8].

Keywords

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

© Springer-Verlag 1977

Authors and Affiliations

  • Szymon Rabsztyn
    • 1
  1. 1.Institute of Theoretical PhysicsUniversity of WrocławWrocławPoland

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