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Phys. Rev. D 69, 043510 (2004) [9 pages]

Reconstruction of field theory from excitation spectra of defects

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Tanmay Vachaspati
CERCA, Physics Department, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106-7079, USA

Received 9 September 2003; published 26 February 2004

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 λφ4 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.043510
DOI:
10.1103/PhysRevD.69.043510
PACS:
98.80.Cq