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arXiv · 1904.07241

Entanglement Renormalization for Interacting Field Theories

Jose J. Fernandez-Melgarejo·Javier Molina-Vilaplana·Emilio Torrente-Lujan
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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 $λ\, ϕ^4$ 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.

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Jose J. Fernandez-Melgarejo, Javier Molina-Vilaplana, Emilio Torrente-Lujan. 2019-09-30. Entanglement Renormalization for Interacting Field Theories. https://doi.org/10.1103/physrevd.100.065025

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