论文标题
关于在非关键维度中折叠字符串的量化
On the quantization of folded strings in non-critical dimensions
论文作者
论文摘要
经典的旋转闭合字符串是折叠的字符串。在折叠点，标量曲率与诱导的度量分解相关。因此，由于没有可正常化的本征模，因此无法正确量化经典解决方案周围的波动。此外，在Polchinski和Strominger的非临界有效弦乐作用中，折叠存在差异。我们通过将一个巨大的粒子放在每个折叠点上，可以用作调节器，从而克服了这一障碍。使用此方法，我们计算旋转弦周围的量子波动频谱和领先的Regge轨迹的截距。我们发现的结果是，截距为$ a = 1 $和$ a = 2 $，分别与目标空间维度无关。我们认为，在具有有效的字符串描述的通用理论中，人们可以期望从与打开字符串的端点或封闭字符串上的折叠点相关的有限质量中进行更正。我们在存在这些质量的情况下明确计算校正。
Classical rotating closed string are folded strings. At the folding points the scalar curvature associated with the induced metric diverges. As a consequence one cannot properly quantize the fluctuations around the classical solution since there is no complete set of normalizable eigenmodes. Furthermore in the non-critical effective string action of Polchinski and Strominger, there is a divergence associated with the folds. We overcome this obstacle by putting a massive particle at each folding point which can be used as a regulator. Using this method we compute the spectrum of quantum fluctuations around the rotating string and the intercept of the leading Regge trajectory. The results we find are that the intercepts are $a=1$ and $a=2$ for the open and closed string respectively, independent of the target space dimension. We argue that in generic theories with an effective string description, one can expect corrections from finite masses associated with either the endpoints of an open string or the folding points on a closed string. We compute explicitly the corrections in the presence of these masses.
