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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Quantum Field Theory II
MP 8.9: Talk
Wednesday, March 20, 2024, 12:40–13:00, HL 001
Wilsonian Renormalization as a Quantum Channel — •Matheus Henrique Martins Costa1, Jeroen van den Brink1,2, Flávio de Souza Nogueira1, and Gastao Inácio Krein3 — 1IFW Dresden, Dresden, Germany — 2Würzburg-Dresden Cluster of Excellence, Dresden, Germany — 3Instituto de Física Teórica - UNESP, Sao Paulo, Brazil
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.
With this result we also begin an investigation of behavior of momentum-space entanglement across the phase transition in the Sine-Gordon model and, more generally, we derive constraints on the form of the ground state of fixed-point theories, possibly being useful for the development of numerical techniques.
Keywords: Renormalization Group; Entanglement in Field Theory; Phase Transitions; Quantum Channels