Exact Rolling Tachyon in Noncommutative Field Theory

Details Exact Rolling Tachyon in Noncommutative Field Theory Exact Rolling Tachyon in Noncommutative Field Theory

2005-01-04

arxiv.org/abs/hep-th/0501016v3

Mod.Phys.Lett. A21 (2006) 421-432

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, minor corrections

Scientific paper

10.1142/S0217732306019426

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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