The masses of gauge fields in higher spin field theory on the bulk of $Ad{S}_4$

Abstract

A local gauge invariant interaction Lagrangian for two gauge fields of spin $\ell$ and $\ell -2$ $(\ell >2)$ and the scalar field is defined. It gives rise to one-loop corrections to the gauge field propagator. The loop function contains the Goldstone boson propagator for gauge symmetry breaking. The proportionality factor in front of this propagator is the mass squared of the gauge boson.

arXiv comment18 pages, Latex, V.2, minor corrections,V.3 published in Phys. Lett. B, misprints corrected

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Cited by in corpus (18)

• General trilinear interaction for arbitrary even higher spin gauge fields
• Constant Curvature Algebras and Higher Spin Action Generating Functions
• Spinning AdS Loop Diagrams: Two Point Functions
• Direct construction of a cubic selfinteraction for higher spin gauge fields
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• Off-shell construction of some trilinear higher spin gauge field interactions
• Conformal invariant interaction of a scalar field with the higher spin field in AdS_{D}
• Intertwining Operator Realization of anti de Sitter Holography
• Feynman rules for higher-spin gauge fields on AdS${}_{d+1}$
• The off-shell behaviour of propagators and the Goldstone field in higher spin gauge theory on $Ad{S}_{d+1}$ space
• The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of $Ad{S}_4$
• The structure of the trace anomaly of higher spin conformal currents in the bulk of $Ad{S}_4$
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
• Invariant Differential Operators and Characters of the AdS_4 Algebra
• Boundary action of free AdS higher-spin gauge fields and the holographic correspondence
• Gauge invariant Lagrangian for non-Abelian tensor gauge fields of fourth rank
• The Goldstone fields of interacting higher spin field theory on AdS(4)