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

Abstract

The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in $Ad{S}_4$ 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 $CF{T}_3$ that cease to be conserved when the interaction is switched on. In particular it is proportional to $\ell -2$.

26 pages, latex

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Cited by in corpus (39)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
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• Spinning Witten Diagrams
• Spinning AdS Loop Diagrams: Two Point Functions
• Shadows, currents and AdS fields
• Continuous spin gauge field in (A)dS space
• Gauge invariant two-point vertices of shadow fields, AdS/CFT, and conformal fields
• Fermionic continuous spin gauge field in (A)dS space
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• Arbitrary spin conformal fields in (A)dS
• Off-shell construction of some trilinear higher spin gauge field interactions
• On quantum corrections in higher-spin theory in flat space
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
• CFT adapted gauge invariant formulation of arbitrary spin fields in AdS and modified de Donder gauge
• Conformal invariant interaction of a scalar field with the higher spin field in AdS_{D}
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
• 6d conformal gravity
• Higher-spin currents in the Gross-Neveu model at $1/n^2$
• Anomalous conformal currents, shadow fields and massive AdS fields
• Higher spin currents in the critical $O(N)$ vector model at $1/N^2$
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• On Nonlinear Higher Spin Curvature
• Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
• CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• Covariant Graviton Propagator in Anti-de Sitter Spacetime
• Light-cone gauge approach to arbitrary spin fields, currents, and shadows
• On generating functions of Higher Spin cubic interactions
• Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Long, partial-short, and special conformal fields
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• On correlation functions of higher-spin currents in arbitrary dimensions $d>3$
• Anomalous dimensions at small spins