Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 4 (2008), 019, 6 pages      arXiv:0802.1655      http://dx.doi.org/10.3842/SIGMA.2008.019
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics

Single-Pole Interaction of the Particle with the String

Milovan Vasilic and Marko Vojinovic
Institute of Physics, P.O.Box 57, 11001 Belgrade, Serbia

Received October 24, 2007, in final form January 20, 2008; Published online February 12, 2008

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 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.

Key words: P-branes; classical theory of gravity; Regge trajectories; string theory.

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References

  1. Berezinsky V., Martin X., Vilenkin A., High energy particles from monopoles connected by strings, Phys. Rev. D 56 (1997), 2024-2034, astro-ph/9703077.
  2. Carter B., Mechanics of cosmic rings, Phys. Lett. B 238 (1990), 166-171.
  3. Goto T., Relativistic quantum mechanics of one-dimensional mechanical continuum and subsidiary condition of dual resonance model, Prog. Theoret. Phys. 46 (1971), 1560-1569.
  4. Martin X., Vilenkin A., Gravitational radiation from monopoles connected by strings, Phys. Rev. D 55 (1997), 6054-6060.
  5. Mathisson M., Neue Mechanik materieller Systeme, Acta Phys. Polon. 6 (1937), 163-200.
  6. Nambu Y., Strings, monopoles, and gauge fields, Phys. Rev. D 10 (1974), 4262-4268.
  7. Papapetrou A., Spinning test-particles in general relativity. I, Proc. R. Soc. Lond. Ser. A 209 (1951), 248-258.
  8. Vasilic M., Vojinovic M., Classical string in curved backgrounds, Phys. Rev. D 73 (2006), 124013, 12 pages, gr-qc/0610014.

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