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A Solvable Toy Model for Tachyon Condensation in String Field Theory
High Energy Physics - Theory · Submitted 29 Aug 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular we find an interpretation for the puzzling finite domain of definition of string field marginal parameters.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The lump solution of \phi^3 field theory provides a toy model for unstable D-branes of bosonic string theory. The field theory living on this lump is itself a cubic field theory involving a tachyon, two additional scalar fields, and a scalar field continuum. Its action can be written explicitly because the fluctuation spectrum of the lump turns out to be governed by a solvable Schroedinger equation; the \ell=3 case of a series of reflectionless potentials. We study the multiscalar tachyon potential both exactly and in the level expansion, obtaining insight into issues of convergence, branches of the solution space, and the mechanism for removal of states after condensation. In particular we find an interpretation for the puzzling finite domain of definition of string field marginal parameters.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The lump solution of \phi^3 field theory provides a toy model for unstable D-branes of bosonic string theory. | background 0.94 | 0.11 | 0.08 | asserted 1.00 |
| s1 | The field theory living on this lump is itself a cubic field theory involving a tachyon, two additional scalar fields, and a scalar field continuum. | background 0.62 | 0.31 | 0.05 | asserted 1.00 |
| s2 | Its action can be written explicitly because the fluctuation spectrum of the lump turns out to be governed by a solvable Schroedinger equation; the \ell=3 case of a series of reflectionless potentials. | method 0.87 | 0.69 | 0.09 | asserted 1.00 |
| s3 | We study the multiscalar tachyon potential both exactly and in the level expansion, obtaining insight into issues of convergence, branches of the solution space, and the mechanism for removal of states after condensation. | contribution 0.94 | 0.96 | 0.20 | asserted 0.97 |
| s4 | In particular we find an interpretation for the puzzling finite domain of definition of string field marginal parameters. | interpretation 0.80 | 0.95 | 0.29 | asserted 1.00 |
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The paper
Original abstract
The lump solution of \phi^3 field theory provides a toy model for unstable D-branes of bosonic string theory. The field theory living on this lump is itself a cubic field theory involving a tachyon, two additional scalar fields, and a scalar field continuum. Its action can be written explicitly because the fluctuation spectrum of the lump turns out to be governed by a solvable Schroedinger equation; the \ell=3 case of a series of reflectionless potentials. We study the multiscalar tachyon potential both exactly and in the level expansion, obtaining insight into issues of convergence, branches of the solution space, and the mechanism for removal of states after condensation. In particular we find an interpretation for the puzzling finite domain of definition of string field marginal parameters.
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References
How the literature uses it
5 arXiv papers cite this in 7 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 1 paper
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We can write the equation ([ref]) in the form [equation] where we have used the following relations [equation] [equation] The Schroedinger problem ([ref]) can be obtained by following the same method of Ref. [ref] .
Multi-scalar tachyon potential on non-BPS domain walls · The model · 0.88
Cites it as background 3 papers
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Phase transitions to bubbles of nothing in 5 which are driven by winding tachyons were discussed in [ref] .] Bulk tachyons, on the other hand, are much harder to understand, and their condensation is expected to reduce the number of space time dimensions [ref] , as a consequence of the Zamolodchikov c-theorem [ref] .
Thermal AdS(3), BTZ and competing winding modes condensation · Introduction and summary of results · 0.89
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The both periodic and non-periodic finite-gap quantum systems, being related to nonlinear integrable systems [ref] , find many important applications in diverse areas of physics, ranging from condensed matter physics, QCD and cosmology, to the string theory [ref] .
Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry · Introduction · 0.92
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The exact solvability of the local limit of the cubic potential was noticed long ago in the context of lump solutions [ref] .
Initial value problem in string-inspired nonlocal field theory · Rolling tachyon perturbatively in $ξ^2$ · 0.84
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