Entanglement entropy in (3 + 1)-d free U(1) gauge theory - INSPIRE

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Entanglement entropy in (3 + 1)-d free U(1) gauge theory

Aug 1, 2016

30 pages

Published in:

JHEP 02 (2017) 101

Published: Feb 21, 2017

e-Print:

1608.00353 [hep-th]

DOI:

10.1007/JHEP02(2017)101

Report number:

TIFR-TH-16-29

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Abstract: (Springer)

We consider the entanglement entropy for a free U(1) theory in 3+1 dimensions in the extended Hilbert space definition. By taking the continuum limit carefully we obtain a replica trick path integral which calculates this entanglement entropy. The path integral is gauge invariant, with a gauge fixing delta function accompanied by a Faddeev -Popov determinant. For a spherical region it follows that the result for the logarithmic term in the entanglement, which is universal, is given by the a anomaly coefficient. We also consider the extractable part of the entanglement, which corresponds to the number of Bell pairs which can be obtained from entanglement distillation or dilution. For a spherical region we show that the coefficient of the logarithmic term for the extractable part is different from the extended Hilbert space result. We argue that the two results will differ in general, and this difference is accounted for by a massless scalar living on the boundary of the region of interest.

Note:

29 pages, 1 appendix

Gauge Symmetry
Lattice Quantum Field Theory
entropy: entanglement
invariance: gauge
path integral
U(1)
gauge field theory
anomaly
density matrix: reduced

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Figures(0)

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