Entanglement entropy: holography and renormalization group

Understand

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle.

• This article provides a review of entanglement entropy from a mixed viewpoint of field theory and holography.
• A set of basic methods for the computation is developed and illustrated with simple examples such as free theories and conformal field theories.
• The structures of the ultraviolet divergences and the universal parts are determined and compared with the holographic descriptions of entanglement entropy.