Entanglement Renormalization for Interacting Field Theories

Abstract

A general method to build the entanglement renormalization (cMERA) for interacting quantum field theories is presented. We improve upon the well-known Gaussian formalism used in free theories through a class of variational non-Gaussian wavefunctionals for which expectation values of local operators can be efficiently calculated analytically and in a closed form. The method consists of a series of scale-dependent nonlinear canonical transformations on the fields of the theory under consideration. Here, the $\lambda {\varphi }^4$ and the sine-Gordon scalar theories are used to illustrate how non-perturbative effects far beyond the Gaussian approximation are obtained by considering the energy functional and the correlation functions of the theory.

6 + 5 pages, 1 figure; v2: minor clarifications added, published version

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• Entanglement Entropy: Non-Gaussian States and Strong Coupling
• Entanglement renormalization for gauge invariant quantum fields
• A post-Gaussian approach to dipole symmetries and interacting fractons
• The Large $N$ Limit of icMERA and Holography
• Exact renormalization group for wave functionals
• Exact Renormalization of Wave Functionals yields Continuous MERA
• On the Entanglement Entropy in Gaussian cMERA
• Entanglement Renormalization of a $T\bar{T}$-deformed CFT
• Non-Gaussian Variational Wavefunctions for Interacting Bosons on the Lattice
• Entanglement renormalization for quantum fields with boundaries and defects