Harmonic analysis and mean field theory
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Publication:2283506
DOI10.1007/JHEP10(2019)217zbMATH Open1427.81137arXiv1809.05111MaRDI QIDQ2283506
Author name not available (Why is that?)
Publication date: 2 January 2020
Published in: (Search for Journal in Brave)
Abstract: We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introduce two efficient methods for computing these quantities: one based on weight-shifting operators, and another based on Fourier space. As an application, we give a general formula for OPE coefficients in Mean Field Theory (MFT) for arbitrary spinning operators. We apply this formula to several examples, including MFT for fermions and "seed" operators in 4d, and MFT for currents and stress-tensors in 3d.
Full work available at URL: https://arxiv.org/abs/1809.05111
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