Spinors, Proper Time and Higher-Spin Fields

Misuna, N.

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Spinors, Proper Time and Higher-Spin Fields

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Misuna, N.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2301.02207.pdf
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Misuna, N. (in preparation). Spinors, Proper Time and Higher-Spin Fields.

Cite as: https://hdl.handle.net/21.11116/0000-000C-2B0B-9

Abstract

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.