Ultra-Violet Infinities and Counterterms in Higher Dimensional Yang-Mills
David C. Dunbar, Nicolaus W. P. Turner

TL;DR
This paper examines the ultraviolet divergences and counterterm structures in higher-dimensional Yang-Mills theories, focusing on one-loop gluon amplitudes and their symmetries.
Contribution
It provides new insights into the ultraviolet behavior and counterterm structures of higher-dimensional Yang-Mills theories at one-loop level.
Findings
Identified specific counterterms required for renormalization.
Analyzed symmetry properties of the counterterms.
Characterized divergence structures in higher dimensions.
Abstract
In this letter we investigate the ultra-violet behaviour of four-point one-loop gluon amplitudes in dimensions greater than four coupled to various particles types. We discuss the structure of the counterterms and their inherent symmetries.
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