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Spinors, Proper Time and Higher-Spin Fields

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arxiv 2301.02207 v1 pith:7NCQTTMD submitted 2023-01-05 hep-th

classification hep-th
keywords fieldsequationsfindformulationinteger-spinmotionproperspinors
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We present a Lagrangian formulation for 4d integer-spin relativistic fields in the 5d space spanned by two conjugate Weyl spinors and a Lorentz-invariant proper-time coordinate. We construct a manifestly Poincare-invariant free classical action, find a general solution to equations of motion and a corresponding positive-definite inner product. Our formulation displays a separation of variables: equations of motion represent ODE in a proper time only, while spinor coordinates parameterize the Cauchy hypersurface. We also find momentum eigenstates solutions for massless arbitrary integer-spin fields and a massive scalar field.

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Cited by 1 Pith paper

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  1. On consistency of the interacting (anti)holomorphic higher-spin sector

    hep-th 2025-05 conditional novelty 6.0 of 10

    A. V. Korybut proves that Didenko's generating system for (anti)holomorphic higher-spin vertices is dx-consistent despite the failure of the Leibniz rule, using new star-exchange-like identities for the limiting star product.

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