论文标题
$φ^8 $模型中对唯一的量子校正
Quantum Corrections to Solitons in the $Φ^8$ Model
论文作者
论文摘要
我们在一个空间和一个时间尺寸中计算$ ϕ^{8} $模型中扭结唯一的真空极化能。有三个可能的现场电位具有八个$ ϕ $，并且具有扭结唯一的势力。对于这些不同的田间电位，我们研究了真空极化是否破坏了theSolitons。对于那些具有变质基态的潜力尤其是这种情况，在田间空间中具有不同的曲率，从而产生了不同的阈值，以使有关孤子的量子波动在阴性和正空间无穷大。我们发现在某些情况下会发生不稳定，但这并不是纯粹的领域问题，而是取决于实现的孤子解决方案。可能的场电位之一具有带有不同拓扑电荷的孤子。在这种情况下，经典质量大约像拓扑电荷一样尺度。即使不稳定排除了强大的陈述，也有迹象表明真空极化能不能扩展为拓扑电荷。
We compute the vacuum polarization energy of kink solitons in the $ϕ^{8}$ model in one space and one time dimensions. There are three possible field potentials that have eight powers of $ϕ$ and that possess kink solitons. For these different field potentials we investigate whether the vacuum polarization destabilizes thesolitons. This may particularly be the case for those potentials that have degenerate ground states with different curvatures in field space yielding different thresholds for the quantum fluctuations about the solitons at negative and positive spatial infinity. We find that destabilization occurs in some cases, but this is not purely a matter of the field potential but also depends on the realized soliton solution for that potential. One of the possible field potentials has solitons with different topological charges. In that case the classical mass approximately scales like the topological charge. Even though destabilization precludes robust statements, there are indications that the vacuum polarization energy does not scale as the topological charge.
