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Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields

2003/09/30 by Leszek Hadasz, Ulf Lindström, Ulf Lindstrom +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.69.105020

published as Phys.Rev. D69 (2004) 105020 · 22 pages, 2 figures, JHEP3 style. v2: This paper is a thoroughly revised version. We thank P.A. Horvathy, L. Martina and P.C. Stichel for illuminating comments that led us to reconsider some of our previously reported results; see note added at the end of the paper. v3: Acknowledgements added

arxiv created 2003/12/22 · openalex publication_date 2004/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study one- and two-soliton solutions of noncommutative Chern-Simons theory coupled to a nonrelativistic or a relativistic scalar field. In the nonrelativistic case, we find a tower of new stationary time-dependent solutions, all with the same charge density, but with increasing energies. The dynamics of these solitons cannot be studied using traditional moduli space techniques, but we do find a nontrivial symplectic form on the phase space indicating that the moduli space is not flat. In the relativistic case we find the metric on the two soliton moduli space.

Citations