Momentum Space Topology and Non-Dissipative Currents

Abstract

Relativistic heavy ion collisions represent an arena for the probe of various anomalous transport effects. Those effects, in turn, reveal the correspondence between the solid state physics and the high energy physics, which share the common formalism of quantum field theory. It may be shown that for the wide range of {field-theoretic} models, the response of various nondissipative currents to the external gauge fields is determined by the momentum space topological invariants. Thus, the anomalous transport appears to be related to the investigation of momentum space topology -- the approach developed earlier mainly in the condensed matter theory. Within this methodology we analyse systematically the anomalous transport phenomena, which include, in particular, the anomalous quantum Hall effect, the chiral separation effect, the chiral magnetic effect, the chiral vortical effect and the rotational Hall effect.

This paper is based on the talk at the 7th International Conference on New Frontiers in Physics (ICNFP~2018), Crete, Greece, 4--12 July 2018

References in corpus (12)

• Topological Field Theory of Time-Reversal Invariant Insulators
• The Chiral Magnetic Effect
• Topological response in Weyl semimetals and the chiral anomaly
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Magnetic conductivity
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Notes on chiral hydrodynamics within effective theory approach
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Quark number susceptibilities from resummed perturbation theory
• Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance

Cited by in corpus (6)

• Influence of interactions on the anomalous quantum Hall effect
• Topological invariant in terms of the Green functions for the Quantum Hall Effect in the presence of varying magnetic field
• Chiral magnetic response to arbitrary axial imbalance
• A Note on Bloch theorem
• Feynman Rules in terms of the Wigner transformed Green functions
• The layered phase of anisotropic gauge theories: A model for topological insulators