Physics NotePublished
Finite Size Effects in Thermal Field Theory
N.F. Svaiter
2004
Publication details
- Authors
- N.F. Svaiter
- Type
- Physics Note
- Status
- Published
- Publication date
- 2004
- Description
- We consider a neutral self-interacting massive scalar field defined in a d-dimensional Euclidean space. Assuming that the system is in thermal equilibrium with a reservoir, we are discussing the perturbative renormalization in the one-loop level of this field theory in the presence of rigid boundary surfaces (two parallel hyperplanes), which break translation symmetry. In order to identify the singular part 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 the regularized one-loop two-point and also four-point Schwinger functions fall into two distinct classes: local divergences that are renormalized by the introduction of the usual bulk counterterms, and surface divergences that demand countertems concentrated on the boundaries. We present the detailed form of the surface divergences. We discuss different strategies that we can assume to solve the problem of the surface divergences. We also briefly discuss how to overcome in the case of Neumann-Neumann boundary conditions the difficulties generated by infrared divergences.
- Year
- 2004
- Number
- CBPF-NF-009/04
- Linked to a thesis
- No
- Linked to a grant
- No