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Phys. Rev. D 77, 041701(R) (2008) [5 pages]

Kinematic constraints on formation of bound states of cosmic strings: Field theoretical approach

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P. Salmi1,*, A. Achúcarro1,2,†, E. J. Copeland3,‡, T. W. B. Kibble4,§, R. de Putter1,5,**, and D. A. Steer6,††
1Lorentz Institute of Theoretical Physics, University of Leiden, The Netherlands
2Department of Theoretical Physics, University of the Basque Country UPV-EHU, 48080 Bilbao, Spain
3School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
4Blackett Laboratory, Imperial College, London SW7 2AZ, United Kingdom
5University of California, Berkeley, California 94720, USA
6APC, Universite de Paris 7, Batiment Condorcet, 10 Rue Alice Domon et Léonie Duquet, 75205 Paris, France

Received 17 December 2007; published 25 February 2008

Superstring theory predicts the potential formation of string networks with bound states ending in junctions. Kinematic constraints for junction formation have been derived within the Nambu-Goto thin string approximation. Here we test these constraints numerically in the framework of the Abelian-Higgs model in the Type-I regime and report on good agreement with the analytical predictions. We also demonstrate that strings can effectively pass through each other when they meet at speeds slightly above the critical velocity permitting bound-state formation. This is due to reconnection effects that are beyond the scope of the Nambu-Goto approximation.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.041701
DOI:
10.1103/PhysRevD.77.041701
PACS:
11.15.−q, 11.27.+d, 98.80.Cq

*salmi@lorentz.leidenuniv.nl

achucar@lorentz.leidenuniv.nl

ed.copeland@nottingham.ac.uk

§t.kibble@imperial.ac.uk

**rdeputter@berkeley.edu

††steer@apc.univ-paris7.fr