2009/01/31 by I. Ya. Aref'eva, I. Ya. Aref’eva, R. V. Gorbachev +6
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Equations of motion #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Physics #Quantum mechanics #Subspace topology #Tachyon #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/05/050
published as JHEP 0905:050,2009 · 30 pages, 9 figures, references added and conclusion extended
arxiv created 2009/03/04 · openalex publication_date 2009/05/14 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In constructions of analytical solutions to open string field theories pure gauge configurations parameterized by wedge states play an essential role. These pure gauge configurations are constructed as perturbation expansions and to guaranty that these configurations are asymptotical solutions to equations of motions one needs to study convergence of the perturbation expansions. We demonstrate that for the large parameter of the perturbation expansion these pure gauge truncated configurations give divergent contributions to the equation of motion on the subspace of the wedge states. We perform this demonstration numerically for the pure gauge configurations related to tachyon solutions for the bosonic and the NS fermionic SFT. By the numerical calculations we also show that the perturbation expansions are cured by adding extra terms. These terms are nothing but the terms necessary to make valued the Sen conjectures.