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On Exact Tachyon Potential in Open String Field Theory
High Energy Physics - Theory · Submitted 13 Sep 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We claim that the tree level lagrangian (up to second order in derivatives and modulo some class of field redefinitions) is given by $L = e^{-T} (\partial T)^2 + (1+T)e^{-T}$.
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In these notes we revisit the tachyon lagrangian in the open string field theory using background independent approach of Witten from 1992. We claim that the tree level lagrangian (up to second order in derivatives and modulo some class of field redefinitions) is given by $L = e^{-T} (\partial T)^2 + (1+T)e^{-T}$. Upon obvious change of variables this leads to the potential energy $-\phi^2 \log {\phi^2 \over e}$ with canonical kinetic term. This lagrangian may be also obtained from the effective tachyon lagrangian of the p-adic strings in the limit $p\to 1$. Applications to the problem of tachyon condensation are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In these notes we revisit the tachyon lagrangian in the open string field theory using background independent approach of Witten from 1992. | background 0.48 | 0.65 | 0.03 | unclear 0.66 |
| s1 | We claim that the tree level lagrangian (up to second order in derivatives and modulo some class of field redefinitions) is given by $L = e^{-T} (\partial T)^2 + (1+T)e^{-T}$. | result 0.97 | 0.84 | 0.84 | asserted 0.91 |
| s2 | Upon obvious change of variables this leads to the potential energy $-\phi^2 \log {\phi^2 \over e}$ with canonical kinetic term. | result 1.00 | 0.81 | 0.24 | asserted 0.99 |
| s3 | This lagrangian may be also obtained from the effective tachyon lagrangian of the p-adic strings in the limit $p\to 1$. | result 0.75 | 0.58 | 0.05 | hedged possibility 1.00 |
| s4 | Applications to the problem of tachyon condensation are discussed. | contribution 0.85 | 0.60 | 0.04 | unclear 0.59 |
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Original abstract
In these notes we revisit the tachyon lagrangian in the open string field theory using background independent approach of Witten from 1992. We claim that the tree level lagrangian (up to second order in derivatives and modulo some class of field redefinitions) is given by $L = e^{-T} (\partial T)^2 + (1+T)e^{-T}$. Upon obvious change of variables this leads to the potential energy $-\phi^2 \log {\phi^2 \over e}$ with canonical kinetic term. This lagrangian may be also obtained from the effective tachyon lagrangian of the p-adic strings in the limit $p\to 1$. Applications to the problem of tachyon condensation are discussed.
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References
How the literature uses it
27 arXiv papers cite this in 33 sentences
Papers citing it · 24 sentences without a confident label
Uses its data or values 1 paper
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We will present some details in Appendix [ref], and the result for bosonic string theory is [ref] : V(T) = (T+1) e^-T .
Dark Solitons, D-branes and Noncommutative Tachyon Field Theory · Noncommutative Tachyon Field Theory · 0.90
Compares with it 1 paper
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It will also be interesting to compare our potential with those derived from BSFT [ref] or S-matrix method [ref] .
Tachyon potential in KBc subalgebra · Discussion · 0.94
Cites it as support 1 paper
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This projection is also corroborated in superstring theories [ref] and evident in the first [ref] and second [ref] quantizations in string theories [ref] .
Phenomenology of Strong Interactions -- Towards an Effective Theory for Low Energy QCD · Introduction · 0.97
Cites it as background 5 papers
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In relation to the static tachyon configuration, exact tachyon potential and tension of the lower-dimensional D-brane were obtained from the disk partition function in BSFT [ref] .
Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal Field Theory · Exponential Type Tachyon Vertex Operator in BCFT for Superstrings · 0.84
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Differential equations with infinitely many derivatives which arise frequently in the literature include the dynamical equation of $p$-adic string theory [ref] [equation] where $p$ is a prime number (though it appears that the theory can be sensibly continued to other values of $p$ also [ref] ) and we have set $m_s ≡1$.
Dynamics with Infinitely Many Derivatives: The Initial Value Problem · Differential Equations of Infinite Order in Theoretical Physics · 0.92
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Indeed, DBI action arises in the context of D-branes in string theory [ref] (see e.g., [ref] for the derivation for some D-brane systems).
New DBI Inflation model with Kinetic Coupling to Einstein Gravity · Introduction · 0.84
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