Measurability of Wilson loop operators

Details Measurability of Wilson loop operators Measurability of Wilson loop operators

2001-10-22

arxiv.org/abs/hep-th/0110205v1

Phys.Rev. D65 (2002) 065022

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 7 figures, REVTeX

Scientific paper

10.1103/PhysRevD.65.065022

We show that the nondemolition measurement of a spacelike Wilson loop operator W(C) is impossible in a relativistic non-Abelian gauge theory. In particular, if two spacelike-separated magnetic flux tubes both link with the loop C, then a nondemolition measurement of W(C) would cause electric charge to be transferred from one flux tube to the other, a violation of relativistic causality. A destructive measurement of W(C) is possible in a non-Abelian gauge theory with suitable matter content. In an Abelian gauge theory, many cooperating parties distributed along the loop C can perform a nondemolition measurement of the Wilson loop operator if they are equipped with a shared entangled ancilla that has been prepared in advance. We also note that Abelian electric charge (but not non-Abelian charge) can be transported superluminally, without any accompanying transmission of information.

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