Entanglement Entropy in Scalar Field Theory

Understand

Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition.

• Here we perturbatively calculate the entanglement entropy in interacting scalar field theory, focussing on the dependence on the field's mass.
• We study lambda phi^4 and g phi^3 theories in their ground state.
• By tracing over a half space, using the replica trick and position space Green's functions on the cone, we show that space-time volume divergences cancel and renormalization can be consistently performed in this conical geometry.