• Open Access

Momentum space entanglement from the Wilsonian effective action

Matheus H. Martins Costa, Jeroen van den Brink, Flavio S. Nogueira, and Gastão I. Krein
Phys. Rev. D 106, 065024 – Published 30 September 2022

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 Rényi 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.

  • Received 29 July 2022
  • Accepted 16 September 2022

DOI:https://doi.org/10.1103/PhysRevD.106.065024

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsQuantum Information, Science & Technology

Authors & Affiliations

Matheus H. Martins Costa1,2, Jeroen van den Brink1,3, Flavio S. Nogueira1, and Gastão I. Krein2

  • 1Institute for Theoretical Solid State Physics, IFW Dresden, Helmholtzstr. 20, 01069 Dresden, Germany
  • 2Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271-Bloco II, 01140-070 São Paulo, Brazil
  • 3Institute for Theoretical Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, TU Dresden, 01069 Dresden, Germany

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Issue

Vol. 106, Iss. 6 — 15 September 2022

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