On the infrared divergence and global colour in N=4 Yang-Mills theory
arXiv:2003.11114 · doi:10.1007/JHEP07(2020)228
Abstract
The 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.
arXiv comment28 pages, 2 figures, typos fixed and some clarification added
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