论文标题
封闭的骨弦理论的非依赖主义近似
Nonrelativistic Approximations of Closed Bosonic String Theory
论文作者
论文摘要
我们进一步开发了$ 1/c^2 $的封闭玻色弦理论的扩展，其中$ c $是光的速度。该扩展将在近代到领先顺序（NNLO）之前进行。我们表明，如果目标空间几何形状允许一定类别的Co-Dimension-2叶叶，那么次接头的秩序（NLO）理论等于Gomis-Ooguri字符串，被推广到弯曲的目标空间。我们将弦的能量计算为nnlo的平坦目标空间，其圆圈必须被弦缠绕，并且我们表明它与相对论能量的$ 1/c^2 $扩展一致。我们还计算了平面目标空间的Noether电荷的代数，并表明这与Poincaré代数的适当扩展相匹配，NLO在NLO中给出了Bargmann代数。最后，我们扩展了相位空间动作，这使我们能够执行狄拉克过程并传递给量子理论。事实证明，泊松支架在每个顺序上都会发生变化，我们表明，相对论理论的正常顺序不取决于$ c $，可以由NLO和NNLO理论复制。
We further develop the string $1/c^2$ expansion of closed bosonic string theory, where $c$ is the speed of light. The expansion will be performed up to and including the next-to-next-to-leading order (NNLO). We show that the next-to-leading order (NLO) theory is equal to the Gomis--Ooguri string, generalised to a curved target space, provided the target space geometry admits a certain class of co-dimension-2 foliations. We compute the energy of the string up to NNLO for a flat target space with a circle that must be wound by the string, and we show that it agrees with the $1/c^2$ expansion of the relativistic energy. We also compute the algebra of Noether charges for a flat target space and show that this matches order-by-order with an appropriate expansion of the Poincaré algebra, which at NLO gives the string Bargmann algebra. Finally, we expand the phase space action, which allows us to perform the Dirac procedure and pass to the quantum theory. It turns out that the Poisson brackets change at each order, and we show that the normal ordering constant of the relativistic theory, which does not depend on $c$, can be reproduced by the NLO and NNLO theories.
