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arXiv · 2003.11114

On the infrared divergence and global colour in N=4 Yang-Mills theory

Su Yu Ding·Joanna Karczmarek·Gordon W. Semenoff
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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.

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Su Yu Ding, Joanna Karczmarek, Gordon W. Semenoff. 2020-03-24. On the infrared divergence and global colour in N=4 Yang-Mills theory. https://doi.org/10.1007/jhep07(2020)228

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