Abstract
The \( \mathcal{N} \) = 4 superconformal Yang-Mills theory on flat four-dimensional Minkowski space is a de-confined gauge theory in the sense that the string tension for fundamental representation coloured quarks vanishes. In fact, static fundamental representation quarks which lie in certain half-BPS super-multiplets do not interact at all. An interesting question asks whether such quarks would carry a well-defined global colour charge which, when the gauge is fixed, should have the status of an internal symmetry. We shall present a simple paradigmatic model which suggests that the answer to this question lies in the way in which infrared divergences are dealt with.
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Ding, S.Y., Karczmarek, J. & Semenoff, G.W. On the infrared divergence and global colour in \( \mathcal{N} \) = 4 Yang-Mills theory. J. High Energ. Phys. 2020, 228 (2020). https://doi.org/10.1007/JHEP07(2020)228
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DOI: https://doi.org/10.1007/JHEP07(2020)228