Lattice field theory with torsion

Abstract

Inspired by the duality between gravity and defects in crystals, we study lattice field theory with torsion. The torsion is realized by a line defect of a lattice, namely a dislocation. As the first application, we perform the numerical computation for vector and axial currents induced by a screw dislocation. This current generation is called the chiral torsional effect. We also derive the analytical formula for the chiral torsional effect in the continuum limit.

References in corpus (22)

• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Physical Aspects of the Space-Time Torsion
• Quantum Anomalies in Dense Matter
• Thermal Hall Effect and Geometry with Torsion
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Lattice QCD in rotating frames
• Torsional chiral magnetic effect in Weyl semimetal with topological defect
• Dislocations and torsion in graphene and related systems
• Torsion, Parity-odd Response and Anomalies in Topological States
• Mixed axial-torsional anomaly in Weyl semimetals
• Heat transport as torsional responses and Keldysh formalism in a curved spacetime
• Parallel Transport of Electrons in Graphene Parallels Gravity
• Emergent gravity and chiral anomaly in Dirac semimetals in the presence of dislocations
• Chiral anomaly in Dirac semimetals due to dislocations
• Chiral torsional effect
• Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
• Lattice QCD in curved spacetimes
• Symmetry Breaking and Lattice Kirigami
• Torsional Monopoles and Torqued Geometries in Gravity and Condensed Matter
• Anomaly inflow on QCD axial domain-walls and vortices
• Emergence of F(R) gravity-analogue due to defects in graphene
• Lattice gauge theory and gluon color-confinement in curved spacetime

Cited by in corpus (19)

• Thermal transport, geometry, and anomalies
• Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$ Weyl superfluids and superconductors
• Torsional Landau levels and geometric anomalies in condensed matter Weyl systems
• On thermal Nieh-Yan anomaly in Weyl superfluids
• Topological magnetotorsional effect in Weyl semimetals
• Chiral torsional effect with finite temperature, density and curvature
• On thermal Nieh-Yan anomaly in topological Weyl materials
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• On chiral responses to geometric torsion
• Overview of external electromagnetism and rotation in lattice QCD
• Torsion-induced chiral magnetic current in equilibrium
• Chiral kinetic theory of anomalous transport induced by torsion
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
• A supersymmetric spin current
• Chiral magnetic effect in the hadronic phase
• Interference effects and modified Born rule in the presence of torsion
• Tunable Topological Phases in Quantum Kirigamis
• Thermal response of the Nieh-Yan term