Solvable two-particle systems with time-asymmetric interactions in de Sitter space

TL;DR

This paper constructs and analyzes solvable two-particle models with time-asymmetric interactions in de Sitter space, demonstrating their invariance, integrability, and providing explicit solutions.

Contribution

It introduces new covariant two-particle models with retarded-advanced interactions in de Sitter space, showing their invariance and integrability, and derives explicit solutions.

Findings

Models are de Sitter-invariant and integrable

Explicit solutions of equations of motion are obtained

Models include electromagnetic and scalar interactions

Abstract

The two-particle models in de Sitter space-time with time-asymmetric retarded-advanced interactions are constructed. Particular cases of the field-type electromagnetic and scalar interactions are considered. The manifestly covariant descriptions of the models within the Lagrangian and Hamiltonian formalisms with constraints are proposed. It is shown that the models are de Sitter-invariant and integrable. An explicit solution of equations of motion is derived in quadratures by means of projection operator technique.