Continuous-spin field propagator and interaction with matter

Abstract

Action principles for the single and double valued continuous-spin representations of the Poincare group have been recently proposed in a Segal-like formulation. We address three related issues: First, we explain how to obtain these actions directly from the Fronsdal-like and Fang-Fronsdal-like equations by solving the traceless constraints in Fourier space. Second, we introduce a current, similar to the one of Berends, Burgers and Van Dam, which is bilinear in a pair of scalar matter fields, to which the bosonic continuous-spin field can couple minimally. Third, we investigate the current exchange mediated by a continuous-spin particle obtained from this action principle and investigate whether it propagates the right degrees of freedom, and whether it reproduces the known result for massless higher-spin fields in the helicity limit.

31 pages, no figure

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• Current Exchanges and Unconstrained Higher Spins
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Elementary particles with continuous spin
• Higher-Spin Algebras, Holography and Flat Space
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• A CSP Field Theory with Helicity Correspondence
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• Lagrangian formulation for the infinite spin N=1 supermultiplets in d=4
• Superfield continuous spin equations of motion
• Continuous-spin mixed-symmetry fields in AdS(5)
• Unified formulation for helicity and continuous spin fermionic fields
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• Interactions of Particles with "Continuous Spin" Fields
• Supersymmetric Continuous Spin Gauge Theory
• Towards Lagrangian construction for infinite half-integer spin field
• Towards higher-spin AdS${}_2$/CFT${}_1$ holography
• Cubic interactions of arbitrary spin fields in 3d flat space
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields
• A local action for fermionic unconstrained higher spin gauge fields in (A)dS space
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• Positivity and causal localizability in higher spin quantum field theories
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Generalization of the Bargmann-Wigner construction for infinite spin fields
• Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$
• Twistor formulation of massless $6D$ infinite spin fields