Casimir Energies in the Light of Renormalizable Quantum Field Theories

Details Casimir Energies in the Light of Renormalizable Quantum Field Theories Casimir Energies in the Light of Renormalizable Quantum Field Theories

2002-12-09

arxiv.org/abs/hep-th/0212086v1

AIP Conf.Proc. 660 (2003) 88-101

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX. Talk presented at the at the second intl. workshop ``Effective Theories of Low Energy QCD'', Coimbra, Sept. 2

Scientific paper

10.1063/1.1570563

Effective hadron models commonly require the computation of functional determinants. In the static case these are one--loop vacuum polarization energies, known as Casimir energies. In this talk I will present general methods to efficiently compute renormalized one--loop vacuum polarization energies and energy densities and apply these methods to construct soliton solutions within a variational approach. This calculational method is particularly useful to study singular limits that emerge in the discussion of the {\it classical} Casimir problem which is usually posed as the response of a fluctuating quantum field to externally imposed boundary conditions.

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