Analytic solution for tachyon condensation in open string field theory
Analytic solution for tachyon condensation in open string field theory
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开弦场理论中快子凝聚的解析解
DOI：
10.4310/atmp.2006.v10.n4.a1
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发表时间：
2005
影响因子：
1.5
通讯作者：
M. Schnabl
中科院分区：
文献类型：
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作者：
M. Schnabl
我们在维滕的开弦场理论中提出了一个新的基础，其中明星产品大大简化了。为了方便选择规范，经典弦场运动方程直接产生代表非微扰快子真空的精确解析解。解以伯努利数的形式给出，运动方程可以被视为新颖的欧拉-拉马努金式恒等式。事实证明，该解决方案是具有某些插入的楔形态上的和的欧拉-麦克劳林渐近展开式。从水平截断的角度来看，这种新形式是完全正则的。通过计算微扰和非微扰真空之间的能量差，我们分析证明了森的第一个猜想。
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.