SinglePole Interaction of the Particle with the String
Abstract
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 NambuGotolike 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.
 Publication:

SIGMA
 Pub Date:
 February 2008
 DOI:
 10.3842/SIGMA.2008.019
 arXiv:
 arXiv:0802.1655
 Bibcode:
 2008SIGMA...4..019V
 Keywords:

 Pbranes;
 classical theory of gravity;
 Regge trajectories;
 string theory;
 General Relativity and Quantum Cosmology
 EPrint:
 This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 2430, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/