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Reconstruction of field theory from excitation spectra of defects

2003/09/16 by Tanmay Vachaspati
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph #cond-mat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.69.043510

published as Phys.Rev. D69 (2004) 043510 · 10 pages, 4 figures. Included proof (Appendix B) that wall fluctuation potentials have supersymmetric form. Added references

arxiv created 2003/09/16 · openalex publication_date 2004/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \ensuremathλ\ensuremathφ4 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 inflationary models with flat potentials.

Citations