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Disordered systems are interesting for many physical reasons. In thisarticle, we study the renormalization group property of quenched disordersystems in the presence of a boundary. We construct examples of scalar fieldtheories in various dimensions with both classical and quantum disorderlocalized at the boundary. We study these theories in $\e$-expansion anddiscuss properties of fixed points of the renormalization group flow.

Quench Disorder and Scalar Field Theory in the Presence of Boundary