't Hooft operator

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In theoretical physics, a 't Hooft operator is a complete counterpart of the Wilson loop in which the electromagnetic potential A is replaced by its electromagnetic dual Amag where the exterior derivative of A is equal to the Hodge dual of the exterior derivative of Amag.

While the Wilson loop is an order operator, 't Hooft operator is an example of a disorder operator because it creates a singularity or a discontinuity in the fundamental fields such as the electromagnetic potential A.

 

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