论文标题
双环标量扭结
Two-Loop Scalar Kinks
论文作者
论文摘要
在一个循环中，量子扭结用量子谐波振荡器哈密顿量的总和来描述，基态只是振荡器基态的产物。两环扭结质量仅在可集成的和超对称的情况下才知道，而两环状态从未发现。我们发现两循环的扭结质量，并在具有任意非衍生电位的标量场理论中明确构建了两环的基态。我们使用一个连贯的状态操作员，将真空扇区映射到扭结扇区，从而使所有状态都可以用单个哈密顿量进行处理，该状态只需要重新归一化一次，从而消除了对调节器匹配条件的需求。最近引入的集体坐标的替代方案大大简化了我们的计算，其中扭结动量是触及的。
At one loop, quantum kinks are described by a sum of quantum harmonic oscillator Hamiltonians, and the ground state is just the product of the oscillator ground states. Two-loop kink masses are only known in integrable and supersymmetric cases and two-loop states have never been found. We find the two-loop kink mass and explicitly construct the two-loop kink ground state in a scalar field theory with an arbitrary nonderivative potential. We use a coherent state operator which maps the vacuum sector to the kink sector, allowing all states to be treated with a single Hamiltonian which needs to be renormalized only once, eliminating the need for regulator matching conditions. Our calculation is greatly simplified by a recently introduced alternative to collective coordinates, in which the kink momentum is fixed perturbatively.
