2003/02/24 by Itzhak Bars, I. Bars, Isao Kishimoto +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Exact solutions in general relativity #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Midpoint #Noncommutative and Quantum Gravity Theories #Nonlinear system #Perturbation theory (quantum mechanics) #Physics #Quantum gravity #Quantum many-body systems #Quantum mechanics #Relationship between string theory and quantum field theory #String (physics) #String cosmology #String field theory #Zeroth law of thermodynamics #hep-th
paper · pdf · doi:10.1103/physrevd.67.126007
published as Phys.Rev. D67 (2003) 126007 · 29 pages
arxiv created 2003/02/24 · openalex publication_date 2003/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an analytic framework to study the nonperturbative solutions of Witten's open string field theory. The method is based on the Moyal star formulation where the kinetic term can be split into two parts. The first one describes the spectrum of two identical half strings which are independent from each other. The second one, which we call midpoint correction, shifts the half string spectrum to that of the standard open string. We show that the nonlinear equation of motion of string field theory is exactly solvable at zeroth order in the midpoint correction. An infinite number of solutions are classified in terms of projection operators. Among them, there exists only one stable solution which is identical to the standard butterfly state. We include the effect of the midpoint correction around each exact zeroth order solution as a perturbation expansion which can be formally summed to the complete exact solution.