Massless Wigner particles in conformal field theory are free

Abstract

We show that in a four dimensional conformal Haag-Kastler net, its massless particle spectrum is generated by a free field subnet. If the massless particle spectrum is scalar, then the free field subnet decouples as a tensor product component.

25 pages, 3 Tikz figures. The final version is available under Open Access

References in corpus (4)

• On Scale and Conformal Invariance in Four Dimensions
• Constraining conformal field theory with higher spin symmetry in four dimensions
• Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields
• Scale Invariance plus Unitarity Implies Conformal Invariance in Four Dimensions

Cited by in corpus (1)

• Compton scattering in the Buchholz-Roberts framework of relativistic QED