PIRSA:15050075 Conference Mathematical physics Quantum Foundations Quantum Gravity Quantum Information

DOI10.48660/15050075

Conference/School: Information Theoretic Foundations for Physics

De les Coves, G. (2015). What discrete states have a continuum limit?. Perimeter Institute. https://pirsa.org/15050075

De les Coves, Gemma. What discrete states have a continuum limit?. Perimeter Institute, May. 14, 2015, https://pirsa.org/15050075 

@misc{ pirsa_PIRSA:15050075,
  doi = {10.48660/15050075},
  url = {https://pirsa.org/15050075},
  author = {De les Coves, Gemma},
  keywords = {Mathematical physics, Quantum Foundations, Quantum Gravity, Quantum Information},
  language = {en},
  title = {What discrete states have a continuum limit?},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {may},
  note = {PIRSA:15050075 see, \url{https://pirsa.org}}
}

Abstract

Renormalization to low energies is widely used in condensed matter theory to reveal the low energy degrees of freedom of a system, or in high energy physics to cure divergence problems. Here we ask which states can be seen as the result of such a renormalization procedure, that is, which states can “renormalized to high energies". Intuitively, the continuum limit is the limit of this "renormalization" procedure. We consider three definitions of continuum limit and characterise which states satisfy either one in the context of Matrix Product States. Joint work with N. Schuch, D. Perez-Garcia and I. Cirac.

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