论文标题
切断的扭结
Cut-Off Kinks
论文作者
论文摘要
我们回答了一个问题：如果真空部门汉密尔顿人是通过能量截止的正规化的，那么单键部门汉密尔顿人如何正规化？我们发现，它不是通过能量截止的正规化，实际上所有能量的正常模式都存在于扭结的汉密尔顿人中，而是该田地中的分解为正常模式运算符会产生系数，这些系数位于约束表面上，迫使它们变得很小，从而使能量变得很小。这解释了以下古老的观察结果，即扭结汉密尔顿人的能量截止导致单循环质量不正确。为了得出我们的结论，我们强加了正规化的扭结部门汉密尔顿人在单位等同于正规真空部门汉密尔顿。这种情况意味着两个正规化的汉密尔顿人具有相同的频谱，因此可以保证，扭结的汉密尔顿人会产生正确的扭结质量。
We answer the question: If a vacuum sector Hamiltonian is regularized by an energy cutoff, how is the one-kink sector Hamiltonian regularized? We find that it is not regularized by an energy cutoff, indeed normal modes of all energies are present in the kink Hamiltonian, but rather the decomposition of the field into normal mode operators yields coefficients which lie on a constrained surface that forces them to become small for energies above the cutoff. This explains the old observation that an energy cutoff of the kink Hamiltonian leads to an incorrect one-loop kink mass. To arrive at our conclusion, we impose that the regularized kink sector Hamiltonian is unitarily equivalent to the regularized vacuum sector Hamiltonian. This condition implies that the two regularized Hamiltonians have the same spectrum and so guarantees that the kink Hamiltonian yields the correct kink mass.
