Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions

Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions

We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations ca...

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Bibliographic Details
Main Authors: Pavlos Kassotakis, Theodoros Kouloukas, Maciej Nieszporski
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Nuclear Physics B
Subjects:
Elastic collisions
Yang-Baxter maps
Non-abelian difference systems
Nonlinear σ-models
Discrete analytic functions
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325000343
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Summary:We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the Z2 graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.
ISSN:0550-3213

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