Constitutive relations of a chiral hadronic fluid

Abstract

We study the role of non-abelian anomalies in relativistic fluids. To this end, we compute the local functional that solves the anomaly equations, and obtain analytical expressions for the covariant currents and the Bardeen-Zumino terms. We particularize these results to a background with two flavors, and consider the cases of unbroken and broken chiral symmetry. Finally, we provide explicit results for the constitutive relations of chiral nuclear matter interacting with external electromagnetic fields and in presence of chiral imbalance. We emphasize the non-dissipative nature of the chiral electric effect.

15 pages. Talk given by E.Megias at the 9th International Conference on New Frontiers in Physics (ICNFP 2020), 4 Sep - 2 Oct 2020, Kolymbari, Crete, Greece

References in corpus (9)

• The Chiral Magnetic Effect
• Nonlinear Fluid Dynamics from Gravity
• Gravitational Anomaly and Transport
• Chiral Magnetic conductivity
• Axial anomaly and magnetism of nuclear and quark matter
• Anomalous electrodynamics of neutral pion matter in strong magnetic fields
• Second-order partition function of a non-interacting chiral fluid in 3+1 dimensions
• Odd Parity Transport In Non-Abelian Superfluids From Symmetry Locking
• Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid