论文标题

d-instantons,弦字段理论和二维字符串理论

D-instantons, String Field Theory and Two Dimensional String Theory

论文作者

Sen, Ashoke

论文摘要

在ARXIV中:1907.07688 Balthazar,Rodriguez和Yin(Bry)计算了一个对两个点散射幅度的偶然贡献,以二维字符串理论的贡献,以在字符串耦合中首先转向串联顺序。他们的分析由于在世界表变量上的集成中的差异而剩下的两个常数,但通过将结果与双矩阵模型的结果进行比较来固定。如果我们将N点散射幅度示为相同顺序,那么在世界表格的方法中,实际上有四个不确定的常数。我们表明,使用弦字段理论,我们可以获得所有这些常数的有限明确值,并且我们明确计算了这四个常数中的三个。三个常数中的两个确定的方式与BRY在数值分析的准确性中的数值结果一致,但第三个常数似乎差异为1/2。如果我们假设量子校正后的d-instanton动作和矩阵模型Instanton的作用,我们还讨论了确定第四常数的快捷方式。这也与布莱的数值结果一致。 注意:第三个常数中的明显差异已在ARXIV:2210.11473中解决。

In arXiv:1907.07688 Balthazar, Rodriguez and Yin (BRY) computed the one instanton contribution to the two point scattering amplitude in two dimensional string theory to first subleading order in the string coupling. Their analysis left undetermined two constants due to divergences in the integration over world-sheet variables, but they were fixed by numerically comparing the result with that of the dual matrix model. If we consider n-point scattering amplitudes to the same order, there are actually four undetermined constants in the world-sheet approach. We show that using string field theory we can get finite unambiguous values of all of these constants, and we explicitly compute three of these four constants. Two of the three constants determined this way agree with the numerical result of BRY within the accuracy of numerical analysis, but the third constant seems to differ by 1/2. We also discuss a shortcut to determining the fourth constant if we assume the equality of the quantum corrected D-instanton action and the action of the matrix model instanton. This also agrees with the numerical result of BRY. Note added: The apparent discrepancy in the third constant has been resolved in arXiv:2210.11473.

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