A Gaussian Variational Approach to cMERA for Interacting Fields

Understand

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 $\varphi^4$ 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.