Entanglement renormalization for interacting field theories
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Knowledge AreaFísica Aplicada
SponsorsJ.J.F.M. acknowledges A. Bhattacharyya and T. Takayanagi for useful discussions and comments. J.M.V. thanks J. Cotler and M. Muller for many fruitful discussions. The work of J.J.F. M. is supported by Universidad de Murcia. J.M.V. is supported by Ministerio de Economia y Competitividad FIS2015-69512-R and Programa de Excelencia de la Fundacion Seneca 19882/GERM/15. J.J.F. M. and E.T.L. acknowledge the financial support of Spanish Ministerio de Economia y Competitividad and CARM Fundacion Seneca under Grants No. FIS2015-28521 and No. 21257/PI/19.
Realizado en/conUniversidad Politécnica de Cartagena; Universidad de Murcia
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 wave functionals 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 phi(4) and the sine-Gordon scalar theories are used to illustrate how nonperturbative effects far beyond the Gaussian approximation are obtained by considering the energy functional and the correlation functions of the theory.
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