标题： 有限张力的 $φ^4_4$ 域墙 显示英文标题

标题： A Finite Tension for the $φ^4_4$ Domain Wall

摘要： 在一维空间加一维时间的维度下，众所周知，对应孤子的量子态可以用相干态很好地描述。在1975年的埃里切讲座上，科尔曼观察到这种构造不能推广到更高维度，因为相干态具有无限的能量密度。他向学生们挑战，要求他们在更高维度中构建对应孤子的量子态，这个问题至今仍未解决。然而，即使在一维空间加一维时间的维度下，正确的量子态实际上是由相干态的变形给出的。在三维空间加一维时间的 $\phi^4$ 双井模型中，我们证明了主要的变形，即单纯的压缩，已经消除了域墙孤子能量密度的一阶发散。 显示英文摘要

摘要： In 1+1 dimensions, it is well known that the quantum states corresponding to solitons are well described by coherent states. In his 1975 Erice lectures, Coleman observed that this construction does not extend to higher dimensions, as the coherent states have infinite energy density. He challenged the students to construct the quantum states corresponding to solitons in higher dimensions, a problem which remains unsolved today. However, even in 1+1 dimensions, the correct quantum states are actually given by deformations of coherent states. In the 3+1 dimensional $\phi^4$ double-well model, we show that the leading deformation, which is just a squeeze, already cancels the one-loop divergence in the energy density of the domain wall soliton.