Reconstruction of field theory from excitation spectra of defects

Details Reconstruction of field theory from excitation spectra of defects Reconstruction of field theory from excitation spectra of defects

2003-09-08

arxiv.org/abs/hep-th/0309086v2

Phys.Rev. D69 (2004) 043510

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 4 figures. Included proof (Appendix B) that wall fluctuation potentials have supersymmetric form. Added references

Scientific paper

10.1103/PhysRevD.69.043510

We show how to reconstruct a field theory from the spectrum of bound states on a topological defect. We apply our recipe to the case of kinks in 1+1 dimensions with one or two bound states. Our recipe successfully yields the sine-Gordon and $\lambda \phi^4$ field theories when suitable bound state spectra are assumed. The recipe can also be used to globally reconstruct the inflaton potential of inflationary cosmology if the inflaton produces a topological defect. We discuss how defects can provide ``smoking gun'' evidence for a class of inflationary models.

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