Momentum space entanglement from the Wilsonian effective action
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Contributors
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.
Details
Original language | English |
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Article number | 065024 |
Journal | Physical review d |
Volume | 106 |
Issue number | 6 |
Publication status | Published - 15 Sept 2022 |
Peer-reviewed | Yes |