论文标题

NULL尖弦的晶格扰动理论

Lattice perturbation theory for the null cusp string

论文作者

Bliard, Gabriel, Costa, Ilaria, Forini, Valentina, Patella, Agostino

论文摘要

我们重新考虑了在无效的尖端背景上量规固定的绿色 - 奇瓦兹超弦的世界表的问题,并提供了一个完全保留其全局$ u(1)\ times su(4)$对称性的设置。我们通过计算晶格的功率来讨论分歧,并以一个循环的一个循环研究可误算性,以单点函数和一个世界表激励的一个骨气相关器为例。为了在一个循环中删除紫外线差异,有必要在动作中引入两个额外的参数,这些参数需要在树级进行微调或在一环时重新归一化。

We reconsider the problem of discretising the worldsheet for the gauge-fixed Green-Schwarz superstring on a null cusp background, and present a setup which fully preserves its global $U(1)\times SU(4)$ symmetry. We discuss divergences by power counting on the lattice, and study renormalizability at one loop with the example of one-point functions and one bosonic correlator of the worldsheet excitations. In order to remove UV divergences at one loop, it is necessary to introduce two extra parameters in the action, which need to be either fine-tuned at tree level or renormalized at one-loop.

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