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Exact Rolling Tachyon in Noncommutative Field Theory

Yoonbai Kim·O-Kab Kwon
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Abstract

We study the exact rolling tachyon solutions in DBI type noncommutative field theory with a constant open string metric and noncommutative parameter on an unstable D$p$-brane. Functional shapes of the obtained solutions span all possible homogeneous rolling tachyon configurations; that is, they are hyperbolic-cosine, hyperbolic-sine, and exponential under $1/\cosh$ runaway NC tachyon potential. Even if general DBI type NC electric field is turned on, only a constant electric field satisfies the equations of motion, and again, exact rolling tachyon solutions are obtained.

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Yoonbai Kim, O-Kab Kwon. 2005-04-13. Exact Rolling Tachyon in Noncommutative Field Theory. https://doi.org/10.1142/s0217732306019426

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