Effective Lagrangians for Scalar Fields and Finite Size Effects in Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

10.1063/1.1629138

We discuss the approach of effective field theory on a d-dimensional Euclidean space in a scalar theory with two different mass scales in the presence of flat surfaces. Then considering Dirichlet and Neumann boundary conditions, we implement the renormalization program in the lambda phi^{4} theory in a region bounded by two parallel hyperplanes in the one-loop approximation.

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