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Journal Article

Two Loop Ghost free Quantisation of Wilson Loops in N=4 supersymmetric Yang-Mills


Malcha,  Hannes
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Malcha, H. (2022). Two Loop Ghost free Quantisation of Wilson Loops in N=4 supersymmetric Yang-Mills. Physics Letters B, 833: 137377. doi:10.1016/j.physletb.2022.137377.

Cite as: https://hdl.handle.net/21.11116/0000-000A-97F8-4
We report a perturbative calculation of the expectation value of the infinite
straight line Maldacena-Wilson loop in $\mathcal{N}=4$ supersymmetric
Yang-Mills theory to order $g^6$. Thus, we extend the previous perturbative
result by one order. The vacuum expectation value is reformulated in terms of a
non-linear and non-local transformation, the Nicolai map, mapping the full
functional measure of the interacting theory to that of a free bosonic theory.
The results are twofold. The perturbative cancellations of the different
contributions to the Maldacena-Wilson loop are by no means trivial and seem to
resemble those of the circular Maldacena-Wilson loop at order $g^4$.
Furthermore, we argue that our approach to computing quantum correlation
functions is competitive with more standard diagrammatic techniques.