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arxiv: hep-th/0601122 · v1 · submitted 2006-01-18 · ✦ hep-th · cond-mat.stat-mech

Quantum field theory with an interaction on the boundary

classification ✦ hep-th cond-mat.stat-mech
keywords interactionquantumtheorybranebulkdimensionalfieldfields
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We consider quantum theory of fields \phi defined on a D dimensional manifold (bulk) with an interaction V(\phi) concentrated on a d<D dimensional surface (brane). Such a quantum field theory can be less singular than the one in d dimensions with the interaction $V(\phi)$. It is shown that scaling properties of fields on the brane are different from the ones in the bulk.

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