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arXiv 1908.05330hep-th
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Schnabl规范中快子真空的数值解

Numerical solution for tachyon vacuum in the Schnabl gauge

E. Aldo Arroyo, Matěj Kudrna

摘要:

基于能级截断方案,我们发展了一种新的数值方法,计算了Schnabl规范中快子真空解的能级为$L=24$的情况。我们证实了预测,与此数值解相关的能量在$L=12$级具有局部最小值。将$L \leq 24$的能量数据外推到无限能级,我们观察到能量向解析值$-1$移动,但外推的精度比Siegel规范下的要低。此外,我们分析了埃尔伍德不变量并表明其值单调收敛于预期的分析结果。我们还研究了快子真空期望值(vev)和解的其它系数。最后,一些一致性检查的解决方案进行,我们简要地讨论了其他Schnabl规范数值解的搜索。

英文摘要:

Based on the level truncation scheme, we develop a new numerical method to evaluate the tachyon vacuum solution in the Schnabl gauge up to level $L=24$. We confirm the prediction that the energy associated to this numerical solution has a local minimum at level $L=12$. Extrapolating the energy data of $L \leq 24$ to infinite level, we observe that the energy goes towards the analytical value $-1$, nevertheless the precision of the extrapolation is lower than in the Siegel gauge. Furthermore, we analyze the Ellwood invariant and show that its value converges monotonically towards the expected analytical result. We also study the tachyon vacuum expectation value (vev) and some other coefficients of the solution. Finally, some consistency checks of the solution are performed, and we briefly discuss the search for other Schnabl gauge numerical solutions.

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