%0 Journal Article %1 PhysRevD.106.065024 %A Martins Costa, Matheus H. %A van den Brink, Jeroen %A Nogueira, Flavio S. %A Krein, Gast\ ao I. %D 2022 %I American Physical Society %J Phys. Rev. D %K a b %N 6 %P 065024 %R 10.1103/PhysRevD.106.065024 %T Momentum space entanglement from the wilsonian effective action %U https://link.aps.org/doi/10.1103/PhysRevD.106.065024 %V 106 %X 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 R´enyi 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.

@article{PhysRevD.106.065024, 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 R´enyi 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.}, added-at = {2023-05-31T15:41:53.000+0200}, author = {Martins Costa, Matheus H. and van den Brink, Jeroen and Nogueira, Flavio S. and Krein, Gast\ ao I.}, biburl = {https://www.bibsonomy.org/bibtex/21acbb69170de70ecfa37ac208c5d9243/ctqmat}, day = 30, description = {Momentum space entanglement from the wilsonian effective action}, doi = {10.1103/PhysRevD.106.065024}, interhash = {92c5c9f2526b3c87a239bc7069d18836}, intrahash = {1acbb69170de70ecfa37ac208c5d9243}, journal = {Phys. Rev. D}, keywords = {a b}, month = {09}, number = 6, numpages = {18}, pages = 065024, publisher = {American Physical Society}, timestamp = {2023-05-31T15:41:53.000+0200}, title = {Momentum space entanglement from the wilsonian effective action}, url = {https://link.aps.org/doi/10.1103/PhysRevD.106.065024}, volume = 106, year = 2022 }