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Wilsonian renormalization as a quantum channel and the separability of fixed points

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Author(s):
Costa, Matheus H. Martins ; van den Brink, Jeroen ; Nogueira, Flavio S. ; Krein, Gastao I.
Total Authors: 4
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 107, n. 12, p. 7-pg., 2023-06-15.
Abstract

We show that the Wilsonian formulation of the renormalization group (RG) defines a quantum channel acting on the momentum-space density matrices of a quantum field theory. This information theoretical property of the RG allows us to derive a remarkable consequence for the vacuum of theories at a fixed point: they have no entanglement between momentum scales. Our result can be understood as deriving from the scale symmetry of such theories and leads to constraints on the form of the ground state and on expectation values of momentum-space operators. (AU)

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