The Stability of Noncommutative Scalar Solitons
نویسنده
چکیده
We determine the stability conditions for a radially symmetric noncommutative scalar soliton at finite noncommutivity parameter θ. We find an intriguing relationship between the stability and existence conditions for all level-1 solutions, in that they all have nearly-vanishing stability eigenvalues at critical θm2. The stability or non-stability of the system may then be determined entirely by the φ3 coefficient in the potential. For higher-level solutions we find an ambiguity in extrapolating solutions to finite θ which prevents us from making any general statements. For these stability may be determined by comparing the fluctuation eigenvalues to critical values which we calculate. 1 E-mail: [email protected]
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