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Feynman Graphs and Renormalization in Quantum Diffusion

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2008

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World Scientific Publishing
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Erdos, László, Manfred Salmhofer, and Horng–Tzer Yau. "Feynman graphs and renormalization in quantum diffusion." Quantum field theory and beyond (2008): 167-182.

Abstract

We review our proof that in a scaling limit, the time evolution of a quantum particle in a static random environment leads to a diffusion equation. In particular, we discuss the role of Feynman graph expansions and of renormalization.

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Brownian motion, Anderson model, Quantum diffusion, Feynman graphs, Renormalization

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