A note on the decay of noncommutative solitons

TL;DR

This paper introduces an ansatz for noncommutative tachyonic scalar fields interacting with gauge fields, enabling the discovery of time-dependent solutions that model the decay of branes in string theory.

Contribution

It proposes a novel ansatz for equations of motion in noncommutative models, facilitating the analysis of decaying solitons and brane collapse.

Findings

Derived time-dependent solutions for decaying noncommutative solitons.

Connected soliton decay to tachyon condensation in string theory.

Provided a framework for modeling brane decay processes.

Abstract

We propose an ansatz for the equations of motion of the noncommutative model of a tachyonic scalar field interacting with a gauge field, which allows one to find time-dependent solutions describing decaying solitons. These correspond to the collapse of lower dimensional branes obtained through tachyon condensation of unstable brane systems in string theory.