Challenges in solving chiral hydrodynamics
Challenges in solving chiral hydrodynamics
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DOI：
10.1103/physrevd.107.054029
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发表时间：
2021-04
影响因子：
5
通讯作者：
E. Speranza;F. S. Bemfica;M. Disconzi;J. Noronha
中科院分区：
文献类型：
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作者：
E. Speranza;F. S. Bemfica;M. Disconzi;J. Noronha
证明了由手征动力学理论导出的理想手征流体力学是因果的，其初值问题是不适定的。因此，这种理论不能用来确定手征异常如何影响水动力演化。我们还证明了粘性手征流体力学的标准一阶理论是因果的。我们表明，这些基本问题可以通过使用不同的定义（框架）的流体动力学领域。
We prove that ideal chiral hydrodynamics, as derived from chiral kinetic theory, is acausal and its initial-value problem is ill-posed. Therefore, such theory cannot be used to determine how the chiral anomaly affects the hydrodynamic evolution. We also prove that the standard first-order theory of viscous chiral hydrodynamics is acausal. We show that these fundamental issues can be cured by using different definitions (frames) for the hydrodynamic fields.