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This is a Quantitative Study study.

October 20, 2025Open Access

Interactions of a Continuous-Spin Field with a Spin-1/2 Particle

Key Points

The formalism enables coupling a continuous-spin field to familiar spin-1/2 matter, enhancing theoretical interactions.
As the spin Casimir of the CSP vanishes, interactions shift to familiar QED in one scenario and a Yukawa interaction in another.
The method utilizes the supersymmetric worldline formalism to maintain consistency with conservation conditions.
This approach allows for exploring deviations from traditional QED when the photon is treated as a continuous-spin field.

Abstract

We introduce a formalism for coupling a bosonic Continuous-Spin field to familiar spin-1/2 matter. To do this, we describe the matter using the supersymmetric worldline formalism. We construct currents that are local functions of worldline kinematics, and respect both the worldline supersymmetry and the conservation condition required for consistent couplings to Abelian CSP fields. As the spin Casimir of the CSP vanishes, the interactions reduce to that of familiar QED in one case, and to a Yukawa interaction with a spin-1/2 fermion in another case. Our formalism is applicable to computing deviations from QED if the photon is a CSP, thereby enabling a range of phenomenological studies.

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