2000/08/31 by Joseph A. Minahan, Joseph A Minahan, Barton Zwiebach · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/09/029
published as JHEP 0009 (2000) 029 · latex, 21 pages, 3 figures. Added references to reflectionless potentials, minor typos corrected, uniform use of (-, +, +, ..., +) signature
arxiv created 2000/09/13 · openalex publication_date 2000/09/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
In hep-th/0008227, the unstable lump solution of ϕ3 theory was shown to have a spectrum governed by the solvable Schroedinger equation with the ℓ=3 reflectionless potential and was used as a model for tachyon condensation in string theory. In this paper we study in detail an ℓ→ ∞ scalar field theory model whose lump solution mimics remarkably the string theory setup: the original field theory tachyon and the lump tachyon have the same mass, the spectrum of the lump consists of equally spaced infinite levels, there is no continuous spectrum, and nothing survives after tachyon condensation. We also find exact solutions for lumps with codimension ≥ 2, and show that that their tensions satisfy (1/(2π)) (Tp/ Tp+1)=e/(√(2π)) ≈ 1.08. We incorporate gauge fixed couplings to a U(1) gauge field which preserve solvability and result in massless gauge fields on the lump.