Regensburg 2022 – scientific programme
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QI: Fachverband Quanteninformation
QI 6: Quantum Information: Concepts and Methods
QI 6.9: Talk
Tuesday, September 6, 2022, 12:00–12:15, H9
Momentum-Space Entanlgement and the Wilsonian Effective Action — •Matheus Henrique Martins Costa1,2, Gastao Inacio Krein2, Flavio de Souza Nogueira1, and Jeroen van den Brink1 — 1Institute for Theoretical Solid State Physics - IFW Dresden, Dresden, Germany — 2Instituto de Física Teórica - Universidade Estadual Paulista, Sao Paulo, Brazil
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 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 and apply it to the perturbative regime of some scalar theories, comparing the lowest-order results with those from the literature and giving them an interpretation in terms of Feynman diagrams. Our results open the way for further work in exploring the relation between renormalization and entanglement and the role of the latter in phase transitions.