双环标量扭结

J. Evslin, Hengyuan Guo
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引用次数: 19

摘要

在一个回路中,量子扭结由量子谐振子哈密顿量的总和来描述,基态只是振荡器基态的乘积。双环扭结质量只在可积和超对称情况下已知,双环态从未被发现过。在具有任意非导数势的标量场理论中,我们找到了双环扭结质量,并显式地构造了双环扭结基态。我们使用一个相干状态算子将真空扇区映射到扭曲扇区,允许所有的状态都用一个哈密顿量来处理,这个哈密顿量只需要重新规范化一次,消除了对调节器匹配条件的需要。最近引入的一种替代集体坐标的方法大大简化了我们的计算,其中扭结动量是摄动固定的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two-loop scalar kinks
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.
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