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Spinning bodies in general relativity from bosonic worldline oscillators

2024/11/12 by Kays Haddad, Gustav Uhre Jakobsen, Haddad, Kays +5 · 12 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2411.08176

openalex publication_date 2024/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Worldline quantum field theory (WQFT) has proven itself a powerful tool for classical two-body scattering calculations in general relativity. In this paper we develop a new worldline action involving bosonic oscillators, which enables the use of the WQFT formalism to describe massive compact bodies to all orders in their spins. Inspired by bosonic string theory in the tensionless limit, we augment traditional trajectory variables with bosonic oscillators capturing the spin dependence. We show its equivalence to the covariant phase space description of a spinning body in curved space and clarify the role of the spin-supplementary condition in a Hamiltonian treatment. Higher-spin Hamiltonians are classified to linear and quadratic order in curvature. Finally, perturbative computations at 1PM order for arbitrary powers and orientations of spin and at 2PM up to quartic spin order are performed, recovering results from the literature.

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