PIRSA:13080057

Wavelets and MERA

White, S. (2013). Wavelets and MERA. Perimeter Institute. https://pirsa.org/13080057

White, Steven. Wavelets and MERA. Perimeter Institute, Aug. 30, 2013, https://pirsa.org/13080057 

          @misc{ pirsa_PIRSA:13080057,
            doi = {10.48660/13080057},
            url = {https://pirsa.org/13080057},
            author = {White, Steven},
            keywords = {Condensed Matter},
            language = {en},
            title = {Wavelets and MERA},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {aug},
            note = {PIRSA:13080057 see, \url{https://pirsa.org}}
          }

Steven White University of California, Irvine

Talk numberPIRSA:13080057
DOI10.48660/13080057
Collection
Talk Type Scientific Series
Subject

Abstract

Some of the key insights that led to the development of DMRG stemmed from studying the behavior of real space RG for single particle wavefunctions, a much simpler context than the many-particle case of main interest.  Similarly, one can gain insight into MERA by studying wavelets.  I will introduce basic wavelet theory and show how one of the most well-known wavelets, a low order orthogonal wavelet of Daubechies, can be realized as the fixed point of a specific MERA (in single-particle direct-sum space).  Higher order wavelets and the conflict between compactness in real and Fourier space may provide insight into generalized MERAs for many particle systems.