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arxiv: 0901.1539 · v2 · pith:2MB6PPSNnew · submitted 2009-01-12 · ✦ hep-th

Local Interactions of Higher-Spin Potentials That are Gauge Invariant in Linear Approximation

classification ✦ hep-th
keywords epsilongaugeinvariantlinearlocalanalyticapproximationconnected
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We study connected Wightman functions of $N$ conserved currents, each of which is formed from a scalar field and has even spin $l_{i}$. The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension $D\longrightarrow D-\epsilon$. We evaluate the residue of $\epsilon ^{-1}$ only, which is a local interaction Lagrangian density and gauge invariant in linear

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