International Journal of Theoretical Physics

, Volume 4, Issue 4, pp 305–320 | Cite as

On the geometric structure of a parity-conserving relativistic quantum field theory

  • C. v. Westenholz


Wheeler's conjecture that there might exist a ‘principle’ which rules out parity-non-conserving spaces is analysed. The following result has been obtained: A local relativistic quantum field theory is parity-conserving if the following conditions hold:
  1. (a)

    The fields are derived from geometry, i.e. they are represented by quantised currents (in the sense of de Rham); and

  2. (b)

    The theory may be defined on a connected and, under certain restrictions, on a disconnected orientable space-time continuumM4.



Field Theory Elementary Particle Quantum Field Theory Geometric Structure Relativistic Quantum 


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Copyright information

© Plenum Publishing Company Limited 1971

Authors and Affiliations

  • C. v. Westenholz
    • 1
  1. 1.Department of Applied MathematicsRhodes UniversityGrahamstown/C.P.South Africa

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