Entanglement in Quantum Field Theory

by Prof. John Cardy (University of Oxford)

Wednesday 22 May 2013, 14:00 → 15:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

Quantum entanglement is an essential feature of quantum states, but is usually discussed in the context of systems with only a few degrees of freedom. In this talk, by contrast, I will consider the entanglement between the (very large) number of degrees of freedom in different spatial regions in the vacuum state of a quantum field theory. After recalling the various measures of entanglement, I will show how these may be expressed in terms of the path integral. I will show how to derive explicit results in the case of conformal field theories, in two and in higher dimensions.