Quench Disorder and Scalar Field Theory in the Presence of Boundary


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Disordered systems are interesting for many physical reasons. In this article, we study the renormalization group property of quenched disorder systems in the presence of a boundary. We construct examples of scalar field theories in various dimensions with both classical and quantum disorder localized at the boundary. We study these theories in $e$-expansion and discuss properties of fixed points of the renormalization group flow.

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