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

Physics – High Energy Physics – High Energy Physics - Theory

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Talk given at Group XXVII Yerevan, Armenia, August 13-29, 2008, v.2 published in Yadernaya Fizika 73 (2010) 518-523

Scientific paper

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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