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- W3102401028 abstract "We consider a neutral self-interacting massive scalar field defined in a d-dimensional Euclidean space. Assuming thermal equilibrium, we discuss the one-loop perturbative renormalization of this theory in the presence of rigid boundary surfaces (two parallel hyperplanes), which break translational symmetry. In order to identify the singular parts of the one-loop two-point and four-point Schwinger functions, we use a combination of dimensional and zeta-function analytic regularization procedures. The infinities which occur in both the regularized one-loop two-point and four-point Schwinger functions fall into two distinct classes: local divergences that could be renormalized with the introduction of the usual bulk counterterms, and surface divergences that demand counterterms concentrated on the boundaries. We present the detailed form of the surface divergences and discuss different strategies that one can assume to solve the problem of the surface divergences. We also briefly mention how to overcome the difficulties generated by infrared divergences in the case of Neumann–Neumann boundary conditions." @default.
- W3102401028 created "2020-11-23" @default.
- W3102401028 creator A5091569622 @default.
- W3102401028 date "2004-11-05" @default.
- W3102401028 modified "2023-10-18" @default.
- W3102401028 title "Finite size effects in thermal field theory" @default.
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- W3102401028 doi "https://doi.org/10.1063/1.1808485" @default.
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