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

Abstract

We study connected Wightman functions of N conserved currents, each of which is formed from a scalar field and has even spin li. The UV divergence of this vertex function is regularized by the analytic continuation in the space dimension D D-ε. We evaluate the residue of ε -1 only, which is a local interaction Lagrangian density and gauge invariant in linear

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