A Gaussian Variational Approach to cMERA for Interacting Fields

Abstract

We use the Gaussian variational principle to apply cMERA to interacting quantum field theories in arbitrary spacetime dimensions. By establishing a correspondence between the first two terms in the variational expansion and the Gaussian Effective Potential, we can exactly solve for a variational approximation to the cMERA entangler. As examples, we treat scalar ${\phi }^4$ theory and the Gross-Neveu model and extract non-perturbative behavior. We also comment on the connection between generalized squeezed coherent states and more generic entanglers.

v3: 13 pages, errors and typos fixed, references added

References in corpus (2)

• Entanglement Growth after a Global Quench in Free Scalar Field Theory
• Spacetime symmetries and conformal data in the continuous multi-scale entanglement renormalization ansatz

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