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arXiv · 2405.03938

The stringy scaling loop expansion and stringy scaling violation

Sheng-Hong Lai·Jen-Chi Lee·Yi Yang
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Abstract

We propose a systematic approximation scheme to calculate general $n$-point $HSSA$ of open bosonic string theory. This stringy scaling loop expansion contains finite number of vacuum diagram terms at each loop order of scattering energy due to a vacuum diagram contraint and a topological graph constraint. In addition, we calculate coefficient and give the vacuum diagram representation and its Feynman rules for each term in the expansion of the $HSSA$. As an application to extending our previous calculation of $n$-point leading order stringy scaling behavior of $HSSA$, we explicitly calculate some examples of $4$-point next to leading order stringy scaling violation terms.

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Sheng-Hong Lai, Jen-Chi Lee, Yi Yang. 2025-09-18. The stringy scaling loop expansion and stringy scaling violation. https://doi.org/10.1093/ptep%2Fptaf122

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