论文标题
通过多体相关探索异常
Exploring anomalies by many-body correlations
论文作者
论文摘要
量子异常可以替代地写入一种违反保护法的形式，也可以是在手性异常的例子中明确看出的非规范电流。通过重新诠释多体平均，建立了与Pauli-Villars正则化的连接，从而使异常术语通过短距离的多体相关性引起的量子波动产生了新的解释。通过使用有效的多体量子电位，通过经典计算实现量子式量子总和来说明这一点。结果表明，这些量子电位避免了量子异常，但由于多体相关而接近相同的异常结果。建议对量子电位的质量进行衡量，以描述平均能量中的这些量子波动。因此，量子异常可能是单粒子场理论来解释多体效应的短期方法。由于手性异常可以通过完全保存的量子动力学理论得出，因此也支持了这种猜想。
The quantum anomaly can be written alternatively into a form violating conservation laws or as non-gauge invariant currents seen explicitly on the example of chiral anomaly. By reinterpreting the many-body averaging, the connection to Pauli-Villars regularization is established which gives the anomalous term a new interpretation as arising from quantum fluctuations by many-body correlations at short distances. This is exemplified by using an effective many-body quantum potential which realizes quantum Slater sums by classical calculations. It is shown that these quantum potentials avoid the quantum anomaly but approaches the same anomalous result by many-body correlations. A measure for the quality of quantum potentials is suggested to describe these quantum fluctuations in the mean energy. Consequently quantum anomalies might be a short-cut way of single-particle field theory to account for many-body effects. This conjecture is also supported since the chiral anomaly can be derived by a completely conserving quantum kinetic theory.
