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PIRSA:13040113

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https://pirsa.org/13040113

The continuum limit of tensor networks: a path integral representation

Jennings, D. (2013). The continuum limit of tensor networks: a path integral representation. Perimeter Institute for Theoretical Physics. https://pirsa.org/13040113

David Jennings Imperial College London

Talk numberPIRSA:13040113
DOI10.48660/13040113
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

I will discuss a path-integral representation of continuum tensor networks that extends the continuous MPS class for 1-D quantum fields to arbitrary spatial dimensions while encoding desirable symmetries. The physical states can be interpreted as arising through a continuous measurement process by a lower dimensional virtual field with Lorentz symmetry. The resultant physical states naturally obey entropy area laws, with the expectation values of observables determined by the dissipative dynamics of the boundary field. The class offers the prospect of powerful new analytical and computational tools to describe the physics of strongly interacting field systems.