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arXiv 2009.00404hep-thgr-qc
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无势畴壁

Domain walls without a potential

Cédric Deffayet, François Larrouturou

摘要:

我们表明,域墙,或扭结,可以在简单的标量理论中构建标量没有潜在的。这些理论属于一类k-本质的拉格朗日消失相同时,让标量的衍生物消失。我们构造的畴壁具有正能量和稳定的二次扰动。作为特殊情况下,我们发现家庭的理论与域壁和二次扰动相同的规范墨西哥帽或正弦戈登标量理论。我们表明,典型的和非典型的情况下,不过是可区分的,通过高阶扰动或仔细检查的能量。特别是,在通常的情况下,我们的墙壁是局部极小值的能量之间的场配置有一些固定的拓扑电荷,但不是全球最小值。

英文摘要:

We show that domain walls, or kinks, can be constructed in simple scalar theories where the scalar has no potential. These theories belong to a class of k-essence where the Lagrangian vanishes identically when one lets the derivatives of the scalar vanish. The domain walls we construct have positive energy and stable quadratic perturbations. As particular cases, we find families of theories with domain walls and their quadratic perturbations identical to the ones of the canonical Mexican hat or sine-Gordon scalar theories. We show that canonical and non canonical cases are nevertheless distinguishable via higher order perturbations or a careful examination of the energies. In particular, in contrast to the usual case, our walls are local minima of the energy among the field configuration having some fixed topological charge, but not global minima.

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