Momentum space entanglement from the Wilsonian effective action

Author(s)

Costa, Matheus H. Martins ; van den Brink, Jeroen ; Nogueira, Flavio S. ; Krein, Gastao I.

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 106, n. 6, p. 18-pg., 2022-09-30.

Abstract

The entanglement between momentum modes of a quantum field theory at different scales is not as well studied as its counterpart in real space, despite the natural connection with the Wilsonian idea of integrating out the high-momentum degrees of freedom. Here, we push such a connection further by developing a novel method to calculate the Re ' nyi and entanglement entropies between slow and fast modes, which is based on the Wilsonian effective action at a given scale. This procedure is applied to the perturbative regime of some scalar theories, comparing the lowest-order results with those from the literature and interpreting them in terms of Feynman diagrams. This method is easily generalized to higher-order or nonperturbative calculations. It has the advantage of avoiding matrix diagonalizations of other techniques. (AU)

• FAPESP's process: 18/25225-9 - São Paulo Research and Analysis Center
• Grantee: Sergio Ferraz Novaes
• Support Opportunities: Special Projects