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Quantum Electrodynamics Mediated by a Photon with Generalized (Continuous) Spin
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abstract
We present rules for computing scattering amplitudes of charged scalar matter and photons, where the photon has non-zero spin Casimir $\rho$, and is therefore a continuous spin particle (CSP). The amplitudes reduce to familiar scalar QED when $\rho\rightarrow 0$. As a concrete example, we compute the pair annihilation and Compton scattering amplitudes in this theory and comment on their physical properties, including unitarity and scaling behavior at small and large $\rho$.
Forward citations
Cited by 2 Pith papers
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BRST-BV approach to fields in Poincare patch of AdS
A universal BRST-BV Lagrangian for free AdS fields is obtained by solving algebraic defining equations for spin operators, with explicit solutions for totally symmetric integer-spin and continuous-spin fields.
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Hydrogen 21 cm Constraints on the Photon's Spin Scale
A continuous-spin photon would suppress the hydrogen 21cm transition rate by 1 minus rho squared alpha squared over 6 omega squared, which turns existing in-beam hyperfine data into the bound rho below 1 meV.
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