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Non-Perturbative Particle Dynamics

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arxiv hep-th/9507076 v1 pith:52NW2TWE submitted 1995-07-13 hep-th

A. Bellini , M. Ciafaloni , P. Valtancoli This is my paper · ORCID
classification hep-th
keywords non-perturbativeparticlessingle-valuedappliedcaseconformalconstructcoordinates
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abstract

We construct a non-perturbative, single-valued solution for the metric and the motion of two interacting particles in ($2+1$)-Gravity, by using a Coulomb gauge of conformal type. The method provides the mapping from multivalued ( minkowskian ) coordinates to single-valued ones, which solves the non-abelian monodromies due to particles's momenta and can be applied also to the general N-body case.

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  1. Mixed Solutions to the Liouville Equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    Explicit mixed-monodromy Liouville solutions are constructed and their large-hyperbolic limits are used to describe time-symmetric slices of 2+1 gravity with particles and black holes.

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