PIRSA: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. https://pirsa.org/13040113

Jennings, David. The continuum limit of tensor networks: a path integral representation. Perimeter Institute, Apr. 22, 2013, https://pirsa.org/13040113 

          @misc{ pirsa_PIRSA:13040113,
            doi = {10.48660/13040113},
            url = {https://pirsa.org/13040113},
            author = {Jennings, David},
            keywords = {Quantum Foundations},
            language = {en},
            title = {The continuum limit of tensor networks: a path integral representation},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {apr},
            note = {PIRSA:13040113 see, \url{https://pirsa.org}}
          }

David Jennings Imperial College London

DOI 10.48660/13040113
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.