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QFT entanglement entropy with Wilson loop.

Date:
Location:
BL 339
Speaker(s) / Presenter(s):
Bom Soo Kim (U. Wisconsin)

We analytically compute the quantum field theory entanglement and Renyi entropies of the Dirac fermions on 2 dimensional torus in the presence of background gauge fields. Chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the electromagnetic vertex operators of Zn orbifold conformal field theory. Surprisingly, in infinite space, these entropies become exact and depend only on the Wilson loop. By employing different normalizations for different topological sectors, we manage to get non-singular entanglement entropy. On a circle, we resolve to find the entropies subtly dependent on the chemical potential at zero temperature, which is useful for probing the ground state energy levels of quantum systems.

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