Establishes edge contraction rules for recursive diagrammatic computation of Murua coefficients in the quantum Magnusian without direct Magnus series manipulation.
Manifest symplecticity in classical scattering
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The Liouville theorem states that classical time evolution is an incompressible flow in phase space. We investigate two formulations of classical mechanics in which this property is manifested. First, the traditional Hamilton-Jacobi theory provides an in-out formalism. Second, a recent idea employing an exponential representation of time evolution provides an in-in formalism. Through concrete examples, it is demonstrated that the on-shell action in the former and the exponential generator in the latter are disparate objects. Still, a concrete relation between the two is identified in terms of a matching calculation. A strictly classical derivation and formulation of classical scattering theory is provided.
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years
2026 4verdicts
UNVERDICTED 4representative citing papers
In the root-Kerr probe model, integrability holds to all spin orders at leading probe charge under Newman-Janis vertices but fails at spin-cubic order at second charge order and cannot be restored by further action deformation.
Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.
Four relativistic spinning particle models (vector oscillator, spinor oscillator, spherical top, massive twistor) describe identical physics in free and interacting theories within the spin-magnitude-preserving sector.
citing papers explorer
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The Diagrammar of Quantum Magnusian
Establishes edge contraction rules for recursive diagrammatic computation of Murua coefficients in the quantum Magnusian without direct Magnus series manipulation.
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On the integrability of root-Kerr probe dynamics
In the root-Kerr probe model, integrability holds to all spin orders at leading probe charge under Newman-Janis vertices but fails at spin-cubic order at second charge order and cannot be restored by further action deformation.
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Black Hole Dynamics at Fifth Post-Newtonian Order
Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.
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Universality in Relativistic Spinning Particle Models
Four relativistic spinning particle models (vector oscillator, spinor oscillator, spherical top, massive twistor) describe identical physics in free and interacting theories within the spin-magnitude-preserving sector.