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arXiv · 1305.3908

Quantum Renormalization Group and Holography

Sung-Sik Lee
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Abstract

Quantum renormalization group scheme provides a microscopic understanding of holography through a general mapping between the beta functions of underlying quantum field theories and the holographic actions in the bulk. We show that the Einstein gravity emerges as a long wavelength holographic description for a matrix field theory which has no other operator with finite scaling dimension except for the energy-momentum tensor. We also point out that holographic actions for general large N matrix field theories respect the inversion symmetry along the radial direction in the bulk if the beta functions of single-trace operators are gradient flows with respect to the target space metric set by the beta functions of double-trace operators.

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Sung-Sik Lee. 2013-05-16. Quantum Renormalization Group and Holography. https://doi.org/10.1007/jhep01(2014)076

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