Momentum space entanglement of four fermion field theory

Abstract

Momentum space entanglement of four fermion field theory is calculated from the Wilsonian effective action pertubatively using replica trick, local terms in low energy effective action are proved to be non-relevant pertubatively and nonlocal terms are the only source of entanglement between different momentum modes. The final result again can be represented by a set of basketball feynmann diagrams with new feynmann rules proposed to inteprete them.