One-Loop Quantum Energy Densities of Domain Wall Field Configurations

Details One-Loop Quantum Energy Densities of Domain Wall Field Configurations One-Loop Quantum Energy Densities of Domain Wall Field Configurations

2000-05-29

arxiv.org/abs/hep-th/0005269v4

Phys.Rev. D62 (2000) 105034

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 29 pages, 1 figure, minor corrections, references added

Scientific paper

10.1103/PhysRevD.62.105034

We discuss a simple procedure for computing one-loop quantum energies of any static field configuration that depends non-trivially on only a single spatial coordinate. We specifically focus on domain wall-type field configurations that connect two distinct minima of the effective potential, and may or may not be the solutions of classical field equations. We avoid the conventional summation of zero-point energies, and instead exploit the relation between functional determinants and solutions of associated differential equations. This approach allows ultraviolet divergences to be easily isolated and extracted using any convenient regularization scheme. Two examples are considered: two-dimensional $\phi^4$ theory, and three-dimensional scalar electrodynamics with spontaneous symmetry breaking at the one-loop level.

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