论文标题
用电力法的纠结解决方案
Kink Solutions With Power Law Tails
论文作者
论文摘要
我们对扭结解决方案的各个方面进行了全面的评论，并通过电力法尾巴在过去几年中受到了广泛关注。这一研究领域处于早期阶段，尽管到目前为止已经很清楚，但有许多问题仅被部分理解或根本不了解。我们首先讨论相当知名的方面，然后在某些详细地解决这些问题，而这些问题只是部分或根本不了解的问题。我们提出了一类广泛的（比第六个阶的阶段理论模型）承认隐式扭结以及镜子扭结解决方案，其中两个彼此面对的两个尾巴具有权力定律或电力较高的类型，而其他两个尾巴却没有彼此面对，可能具有指数级或权力定律终结。这些模型承认隐式扭结解决方案，其中两端彼此面对面具有指数尾巴，而另外两个末端还讨论了尾巴。此外，我们提出了几种现场理论模型，这些模型接纳了具有权力法的明确扭结解决方案。我们注意到，在所有多项式模型中，虽然潜在的$ V（ϕ）$是连续的，但其导数是不连续的。我们还讨论了最重要的，唯一一部分理解的扭结问题和扭结力量的问题，以防彼此面对的尾巴掉落。最后，我们以有限的速度简要讨论了扭结 - 安提金克碰撞，并提出一些空旷的问题。
We present a comprehensive review about the various facets of kink solutions with a power law tail which have received considerable attention during the last few years. This area of research is in its early stages and while several aspects have become clear by now, there are a number of issues which have only been partially understood or not understood at all. We first discuss the aspects which are reasonably well known and then address in some detail the issues which are only partially or not understood at all. We present a wide class of higher (than sixth) order field theory models admitting implicit kink as well as mirror kink solutions where the two tails facing each other have a power law or a power-tower type fall off while the other two ends not facing each other could have either an exponential or a power law tail. The models admitting implicit kink solutions where the two ends facing each other have an exponential tail while the other two ends have a power law tail are also discussed. Moreover, we present several field theory models which admit explicit kink solutions with a power law fall off. We note that in all the polynomial models while the potential $V(ϕ)$ is continuous, its derivative is discontinuous. We also discuss one of the most important and only partially understood issues of the kink-kink and the kink-antikink forces in case the tails facing each other have a power law fall off. Finally, we briefly discuss the kink-antikink collisions at finite velocity and present some open questions.
