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arXiv 1402.0019hep-th
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Dirac-Born-Infeld action中的BPS孤子

BPS solitons in a Dirac-Born-Infeld action

D. Rubiera-Garcia, C. dos Santos

备注：
13 single-column pages; final version to appear in J. Phys. A: Math. Gen
发表信息：
J. Phys. A: Math. Theor. 47, 105402 (2014)
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摘要：

我们提出了几类孤子的（$1+1$）维模型中的标准正则动力学项被取代的Dirac-Born-Infeld（DBI）之一。这些是具有有限能量和不同性质的静态解，即，根据所选择的势的类型，它们可以具有紧支撑，或者是扭结或块状，这取决于DBI参数$β$。通过数值和解析相结合的方法，将运动方程看作是具有一个新的$β$依赖势和一个$β$变形能量密度的\emph{another}正则模型的运动方程，构造了这样的模型，其中DBI参数和能量密度都是平稳增加的，扭结的厚度和块的宽度得到修改，直到每个孤子达到其标准正则形状$β\rightarrow \infty$。此外，我们提出了规范的对应物是不紧的Sparton解决方案。

英文摘要：

We present several classes of solitons in ($1+1$)-dimensional models where the standard canonical kinetic term is replaced by a Dirac-Born-Infeld (DBI) one. These are static solutions with finite energy and different properties, namely, they can have compact support, or be kink or lump-like, according to the type of potential chosen, which depend on the DBI parameter $β$. Through a combination of numerical and analytical arguments, by which the equation of motion is seen as that corresponding to \emph{another} canonical model with a new $β$-dependent potential and a $β$-deformed energy density, we construct models in which increasing smoothly the DBI parameter both the compacton radius, the thickness of the kink and the width of the lump get modified until each soliton reaches its standard canonical shape as $β\rightarrow \infty$. In addition we present compacton solutions whose canonical counterparts are not compact.

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