Hydrodynamics of topological Dirac semi-metals with chiral and ℤ2 anomalies

• Published in: The journal of high energy physics Vol. 2018; no. 9; pp. 1 - 17
• Main Authors: Rogatko, Marek, Wysokinski, Karol I.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-09-2018; Springer Nature B.V; SpringerOpen
• Subjects: Anomalies in Field and String Theories; Classical and Quantum Gravitation; Computational fluid dynamics; Elementary Particles; Fluid flow; High energy physics; Holography and condensed matter physics (AdS/CMT); Holography and quark-gluon plasmas; Hydrodynamic equations; Hydrodynamics; Kinetic coefficients; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Vorticity; Holography and condensed matter physics (AdS/CMT); Anomalies in Field and String Theories; Holography and quark-gluon plasmas
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2018)136

A
bstract
We consider the hydrodynamical model of topological Dirac semi-metal possessing two Dirac nodes separated in momentum space along a rotation axis. It has been argued that the system in question, except the chiral anomaly, is endowed with the other one ℤ
2
. In order to model such a system we introduce two U(1)-gauge fields. The presence of the additional ℤ
2
anomaly leads to the non-trivial modifications of hydrodynamical equations and to the appearance of new kinetic coefficients bounded with the vorticity and the magnetic parts of Maxwell and auxiliary U(1)-gauge fields.