论文标题
大量子数扩展中的选定主题
Selected Topics in the Large Quantum Number Expansion
论文作者
论文摘要
在这篇综述中，我们研究了对称组的某些发电机的量子场理论和保形场理论，具有大电荷的限制。在低能量的情况下，该理论的大电荷扇区用戈德石定理的杂种形式描述，涉及其相对论和非权威主义形式。红外线中相关的有效现场理论允许计算异常尺寸，以及在全球电荷反向逆向方面定义的扩展中的运算符产品扩展系数。即使初始理论没有可靠的半经典近似，这也适用。大量量子数的扩展补充，可以为引导和数值处理提供另一种方法。我们将介绍对称性破坏模式和低能的有效动作的一些一般特征，以及相当多的示例，展示了这种方法的显着特征。
In this review we study quantum field theories and conformal field theories with global symmetries in the limit of large charge for some of the generators of the symmetry group. At low energy the sectors of the theory with large charge are described by a hybrid form of Goldstone's theorem, involving its relativistic and non-relativistic forms. The associated effective field theory in the infrared allows the computation of anomalous dimensions, and operator product expansion coefficients in a well defined expansion in inverse powers of the global charge. This applies even when the initial theory does not have a reliable semiclassical approximation. The large quantum number expansion complements, and may provide an alternative approach to the bootstrap and numerical treatments. We will present some general features of the symmetry breaking patterns and the low-energy effective actions, and a fairly large number of examples exhibiting the salient features of this method.
