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A Quantum Information Geometric Approach to Renormalization

Quantum Physics 2016-09-30 v1

Abstract

This essay constitutes a review of the information geometric approach to renormalization developed in the recent works of B\'eny and Osborne as well as a detailed work-through of some of their contents. A noncommutative generalization of information geometry allows one to treat quantum state distinguishability in geometric terms with an intuitive empirical interpretation, allowing for an information theoretic prescription of renormalization which incorporates both the condensed matter and quantum field theoretic approaches.

Keywords

Cite

@article{arxiv.1609.09440,
  title  = {A Quantum Information Geometric Approach to Renormalization},
  author = {John B. DeBrota},
  journal= {arXiv preprint arXiv:1609.09440},
  year   = {2016}
}

Comments

23 pages

R2 v1 2026-06-22T16:05:41.465Z