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arXiv · hep-th/0309086

Reconstruction of field theory from excitation spectra of defects

Tanmay Vachaspati
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Abstract

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 $λϕ^4$ 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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Tanmay Vachaspati. 2003-09-16. Reconstruction of field theory from excitation spectra of defects. https://doi.org/10.1103/physrevd.69.043510

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