Does the chiral magnetic effect change the dynamic universality class in QCD?

Abstract

In QCD matter under an external magnetic field, the chiral magnetic effect (CME) leads to the collective gapless mode called the chiral magnetic wave (CMW). Since dynamic universality class generally depends on low-energy gapless modes, it is nontrivial whether the CME and the resulting CMW change that of the second-order chiral phase transition in QCD. To address this question, we study the critical dynamics near the chiral phase transition in massless two-flavor QCD under an external magnetic field. By performing the dynamic renormalization-group analysis within the epsilon expansion, we find that the presence of the CME changes the dynamic universality class to that of model A. We also show that the transport coefficient of the CME is not renormalized by the critical fluctuations of the order parameter.

arXiv comment32 pages, 8 figures; v2: title and abstract modified, main results changed, discussions substantially extended, published in JHEP

References in corpus (19)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Hydrodynamics with Triangle Anomalies
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Charge separation induced by P-odd bubbles in QCD matter
• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Gravitational Anomaly and Transport
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Quark condensate in a magnetic field
• Chiral Plasma Instabilities
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Dynamic universality class of the QCD critical point
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model (Addenda)
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• (Non)-Renormalization of the Chiral Vortical Effect Coefficient
• Sigma and hydrodynamic modes along the critical line
• Scalar density fluctuation at critical end point in NJL model
• Anomalous Hydrodynamics
• Anomalous-hydrodynamic analysis of charge-dependent elliptic flow in heavy-ion collisions
• Elliptic flow difference of charged pions in heavy-ion collisions

Cited by in corpus (4)

• Causal hydrodynamic fluctuations in non-static and inhomogeneous backgrounds
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Positive magnetoresistance induced by hydrodynamic fluctuations in chiral media
• Non-static Analysis of the Anomalous Chiral Conductivities