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arXiv 0901.4533hep-th
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弦场论运动方程的纯规范解和快子解

Pure Gauge Configurations and Tachyon Solutions to String Field Theories Equations of Motion

I. Ya. Aref'eva, R. V. Gorbachev, D. A. Grigoryev, P. N. Khromov, M. V. Maltsev, P. B. Medvedev

摘要:

在构造开弦场论的解析解时,由楔形态参数化的纯规范组态起着至关重要的作用。这些纯规范组态被构造为微扰展开,为了保证这些组态是运动方程的渐近解,需要研究微扰展开的收敛性。我们证明了,对于大参数的微扰展开,这些纯规范截断配置的楔形态的子空间上的运动方程发散的贡献。我们进行这个演示的纯规范配置有关的玻色子和NS费米子SFT快子解决方案的数值。通过数值计算,我们还表明,通过增加额外的项,微扰展开式是可以消除的。这些术语不过是使这些概念具有价值所必需的术语。

英文摘要:

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.

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