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PIRSA:13080057

Wavelets and MERA

APA

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

Steven White University of California, Irvine

Talk numberPIRSA:13080057
Collection

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.