Relativistic Invariance and the Spectral Decomposition of \(G^{(2)}\)

  • Henryk Arodź
  • Leszek Hadasz
Part of the Graduate Texts in Physics book series (GTP)


The requirements for a relativistically invariant quantum field theory. Generators of the unitary representations of the universal covering group of the Poincaré group, and their commutation relations. The spectral decomposition of the two-point function \(G^{(2)}\) in the quantum theory of the real scalar field. The contribution of the single particle states. The pole of \(\tilde{G}^{(2)}\) at the physical value of \(p^2\) of the single particle. Finite mass corrections to the renormalized two-point function.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of PhysicsJagiellonian UniversityKrakówPoland

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