Séminaire Amplitudes et Gravitation sur l'Yvette (IHES/IPhT)
In this talk I present a new worldline action in which the worldline spin degrees of freedom are carried by bosonic oscillators. First, we construct a Hamiltonian for the worldline accounting for all spin-multipole moments at linear order in curvature, investigating the constraints on the Hamiltonian from a specific choice for the spin supplementary condition (SSC). Converting to the Lagrangian, we find a simple kinetic term for the spin DoFs in terms of bosonic oscillators, and also break the quadratic-in-spin ceiling of previous WQFT approaches involving Grassmann spinors. Injecting insight from the previously constructed Hamiltonian reveals a new class of operator redundancies in the EFT not related to equations of motion or integration by parts. Finally, a simple on-shell condition neatly ties up considerations related to the SSC, and paves the way for future higher-PM calculations involving spin.
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Julio Parra-Martinez & Alessandro Podo
