Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization

2008/04/08 by Ruben Manvelyan, Karapet Mkrtchyan, Werner Ruehl +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2008.06.008

published as Nucl.Phys.B803:405-427,2008 · 26 pages, latex

arxiv created 2008/04/08 · openalex publication_date 2008/06/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in AdS₄ space is analyzed in details. Possible interactions with the Higgs scalar and the corresponding one loop mass renormalization are studied. This mass renormalization is finite and connected with the anomalous dimensions of those currents in the corresponding boundary CFT₃ that cease to be conserved when the interaction is switched on. In particular it is proportional to ℓ-2.

Citations

• On the proposed AdS dual of the critical O(N) sigma model for any dimension 2<d<4
• The generalized curvature and Christoffel symbols for a higher spin potential in AdSd+1 space
• Generalized curvature and Ricci tensors for a higher spin potential and the trace anomaly in external higher spin fields in AdS4 space
• The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of AdS4
• Nonlinear higher spin theories in various dimensions

Cited by

• CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
• Light-cone gauge approach to arbitrary spin fields, currents and shadows
• On generating functions of higher-spin cubic interactions