论文标题

红外有限半包含二维类型0b字符串理论

Infrared finite semi-inclusive cross section in two dimensional type 0B string theory

论文作者

Sen, Ashoke

论文摘要

D-Instanton在二维中诱导0B字符串理论中的S-Matrix遭受红外差异的困扰。这可以追溯到以下事实:这些过程产生低能滚动的tachyon状态,这些状态不能被视为有限数量的封闭弦状态的线性组合。我们在该理论中计算了半包含的横截面,在该理论中,我们允许在最终状态下使用固定的封闭字符串,载有能量的固定琴弦和携带其余能量的任何其他封闭的弦态。结果是红外有限的,并且与双基质模型中的结果一致,这是由非相关性费米子在倒谐波振荡器电位中移动的。在矩阵模型中,“许多其他封闭的弦状态”的作用是在潜在屏障的相对侧面的一个费米孔对扮演的。

D-instanton induced S-matrix in type 0B string theory in two dimensions suffers from infrared divergences. This can be traced to the fact that these processes produce low energy rolling tachyon states that cannot be regarded as linear combination of a finite number of closed string states. We compute semi-inclusive cross sections in this theory where we allow in the final state a fixed set of closed strings carrying given energies and any number of other closed string states carrying the rest of the energy. The result is infrared finite and agrees with the results in the dual matrix model, described by non-relativistic fermions moving in an inverted harmonic oscillator potential. In the matrix model the role of `any number of other closed string states' is played by a fermion hole pair on opposite sides of the potential barrier.

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