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- W2091804474 abstract "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." @default.
- W2091804474 created "2016-06-24" @default.
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- W2091804474 date "2003-06-01" @default.
- W2091804474 modified "2023-10-06" @default.
- W2091804474 title "The Decay of Unstable Noncommutative Solitons" @default.
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- W2091804474 doi "https://doi.org/10.1007/s00220-003-0863-z" @default.
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