Entanglement entropy in lattice gauge theories

Details Entanglement entropy in lattice gauge theories Entanglement entropy in lattice gauge theories

2008-11-24

arxiv.org/abs/0811.3824v1

PoS Confinement8:039,2008; J.Phys.A42:304005,2009

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at the Confinement8 conference (Mainz, Germany, September 1 - 6, 2008) and at the conference "Liouville Field T

Scientific paper

10.1088/1751-8113/42/30/304005

We report on the recent progress in theoretical and numerical studies of entanglement entropy in lattice gauge theories. It is shown that the concept of quantum entanglement between gauge fields in two complementary regions of space can only be introduced if the Hilbert space of physical states is extended in a certain way. In the extended Hilbert space, the entanglement entropy can be partially interpreted as the classical Shannon entropy of the flux of the gauge fields through the boundary between the two regions. Such an extension leads to a reduction procedure which can be easily implemented in lattice simulations by constructing lattices with special topology. This enables us to measure the entanglement entropy in lattice Monte-Carlo simulations. On the simplest example of Z2 lattice gauge theory in (2 + 1) dimensions we demonstrate the relation between entanglement entropy and the classical entropy of the field flux. For SU(2) lattice gauge theory in four dimensions, we find a signature of non-analytic dependence of the entanglement entropy on the size of the region. We also comment on the holographic interpretation of the entanglement entropy.

Affiliated with

Also associated with

No associations

Rating

Entanglement entropy in lattice gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Entanglement entropy in lattice gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement entropy in lattice gauge theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644913