Diagrammatic perturbation approach to finite-size and surface critical behavior for Dirichlet boundary conditions
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A recent field-theoretic treatment of finite-size effects in the presence of Dirichlet boundary conditions is developed further. A simplified perturbation approach is introduced that makes higher orders amenable to diagrammatic evaluation. As an illustration the surface energy and surface specific heat are calculated up to two-loop order. Further suggestions of future research are discussed.
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