Single-Pole Interaction of the Particle with the String

Details Single-Pole Interaction of the Particle with the String Single-Pole Interaction of the Particle with the String

2008-02-12

arxiv.org/abs/0802.1655v1

SIGMA 4:019,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.019

Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached to its ends, along with appropriate boundary conditions. The equations of motion are the usual Nambu-Goto-like equations, while boundary conditions turn out to be equations of motion for the particles at the string ends. Various properties of those equations are discussed, and a simple example is treated in detail, exhibiting the properties of Neumann and Dirichlet boundary conditions and giving a small correction term to the law of Regge trajectories due to the nonzero particle mass.

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