2011/07/31 by W. Ruehl, Werner Ruehl, Ruehl, Werner · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.1108.0225
Latex, 36 pages, v.2, references added; v.3 the discussion of conformal invariance added
openalex publication_date 2011/07/31 · arxiv created 2012/02/14 · arxiv updated 2012/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider systems of higher spin gauge fields that are described by a free field Lagrangian and one interaction of arbitrary order N that is local and satisfies abelian gauge invariance. Such "solitary" interactions are derived from Noether potentials solving the Noether equations. They are constructed using a free conformal field theory carried by the same flat space as the higher spin fields. In this field theory we consider N-loop functions of conserved, conformally covariant currents, they are UV divergent. The residue of the first order pole in the dimensional regularisation approach to the N-loop function is a local differential operator and is free of anomalies, so that current conservation and conformal covariance is maintained. Applying this operator to the higher spin fields, the Noether potential results. We study the cases N=2, N=3 and N=4. We argue that our N=3 vertex for any number of derivatives Δ is identical with the known cubic interaction.