The decay of unstable noncommutative solitons
We study the classical decay of unstable scalar solitons in noncommutative field theory in 2+1 dimensions. This can, but does not have to, be viewed as a toy model for the decay of D-branes in string theory. In the limit that the noncommutativity parameter θ is infinite, the gradient term is absent,...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
7 May 2003
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| In: |
Communications in mathematical physics
Year: 2003, Volume: 237, Issue: 1/2, Pages: 243-269 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-003-0863-z |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1007/s00220-003-0863-z Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/s00220-003-0863-z 
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| Author Notes: | Thomas Chen, Jürg Fröhlich, Johannes Walcher |
| Summary: | We study the classical decay of unstable scalar solitons in noncommutative field theory in 2+1 dimensions. This can, but does not have to, be viewed as a toy model for the decay of D-branes in string theory. In the limit that the noncommutativity parameter θ is infinite, the gradient term is absent, there are no propagating modes and the soliton does not decay at all. If θ is large, but finite, the rotationally symmetric decay channel can be described as a highly excited nonlinear oscillator weakly coupled to a continuum of linear modes. This system is closely akin to those studied in the context of discrete breathers. We here diagonalize the linear problem and compute the decay rate to first order using a version of Fermi's Golden Rule, leaving a more rigorous treatment for future work. |
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| Item Description: | Gesehen am 21.02.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-003-0863-z |