Gauge Fixing and Scattering Amplitudes in String Field Theory Expanded around Universal Solutions

Takahashi, Tomohiko; Zeze, Syoji

doi:10.1143/ptp.110.159

Cited by 27 publications

(56 citation statements)

References 18 publications

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“…There was another class of papers [39][40][41], which attempted to find systematic analytic approximations to the exact solutions. Unfortunately, none of the above papers succeeded in proving Sen's conjectures perhaps with the exception of the third conjecture [42][43][44]. It is the goal of the present paper to provide the first nonsingular solution and prove Sen's first conjecture.…”

Section: Introductionmentioning

confidence: 88%

Analytic solution for tachyon condensation in open string field theory

Schnabl¹

2006

Advances in Theoretical and Mathematical Physics

298

864

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We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge, the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler-Ramanujan-type identity. It turns out that the solution is the Euler-Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the point of view of level truncation. By computing the energy difference between the perturbative and nonperturbative vacua, we prove analytically Sen's first conjecture.e-print archive: http://lanl.arXiv.org/abs/hep-th/0511286 MARTIN SCHNABL Contents

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Section: Introductionmentioning

confidence: 88%

Analytic solution for tachyon condensation in open string field theory

Schnabl¹

2006

Advances in Theoretical and Mathematical Physics

298

864

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“…Various other aspects of tachyon condensation in bosonic open string field theory have been discussed in refs. [517,221,113,437,110,473,518,453,105,454,240,147,139,140,366,333,401,511,116,455,167,512,288,513,514,410,489,546,276]. …”

Section: Verification Of the Second And Third Conjecturesmentioning

confidence: 99%

Tachyon Dynamics in Open String Theory

SEN¹

2005

Progress in String Theory

103

193

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In this review we describe our current understanding of the properties of open string tachyons on an unstable D-brane or brane-antibrane system in string theory. The various string theoretic methods used for this study include techniques of two dimensional conformal field theory, open string field theory, boundary string field theory, non-commutative solitons etc. We also describe various attempts to understand these results using field theoretic methods. These field theory models include toy models like singular potential models and p-adic string theory, as well as more realistic version of the tachyon effective action based on Dirac-Born-Infeld type action. Finally we study closed string background produced by the 'decaying' unstable D-branes, both in the critical string theory and in the two dimensional string theory, and describe the open string completeness conjecture that emerges out of this study. According to this conjecture the quantum dynamics of an unstable D-brane system is described by an internally consistent quantum open string field theory without any need to couple the system to closed strings. Each such system can be regarded as a part of the 'hologram' describing the full string theory.

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“…Even if the solution itself is well-defined, we may encounter singularities when we compute Ψ|Q|Ψ and Ψ|Ψ * Ψ to evaluate the energy density of the solution. In fact, various solutions of string field theory based on the identity string field [22,23,24,25,26,27,28,29,30,31,32,33,34] suffer from the notorious singularity coming from the inner product of the identity string field with itself. Furthermore, even if the quantities Ψ|Q|Ψ and Ψ|Ψ * Ψ can be made well-defined, it is still a nontrivial question whether or not the equation of motion is satisfied when it is contracted with the solution itself, namely, whether or not Ψ|Q|Ψ + Ψ|Ψ * Ψ = 0 holds.…”

Section: Introductionmentioning

confidence: 99%

Some exact computations on the twisted butterfly state in string field theory

Okawa

2004

J. High Energy Phys.

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The twisted butterfly state solves the equation of motion of vacuum string field theory in the singular limit. The finiteness of the energy density of the solution is an important issue, but possible conformal anomaly resulting from the twisting has prevented us from addressing this problem. We present a description of the twisted regulated butterfly state in terms of a conformal field theory with a vanishing central charge which consists of the ordinary bc ghosts and a matter system with c = 26. Various quantities relevant to vacuum string field theory are computed exactly using this description. We find that the energy density of the solution can be finite in the limit, but the finiteness depends on the subleading structure of vacuum string field theory. We further argue, contrary to our previous expectation, that contributions from subleading terms in the kinetic term to the energy density can be of the same order as the contribution from the leading term which consists of the midpoint ghost insertion.

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Gauge Fixing and Scattering Amplitudes in String Field Theory Expanded around Universal Solutions

Cited by 27 publications

References 18 publications

Analytic solution for tachyon condensation in open string field theory

Analytic solution for tachyon condensation in open string field theory

Tachyon Dynamics in Open String Theory

Some exact computations on the twisted butterfly state in string field theory

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