Landau levels in QCD
arXiv:1705.10210 · doi:10.1103/PhysRevD.96.074506
Abstract
We present first evidence for the Landau level structure of Dirac eigenmodes in full QCD for nonzero background magnetic fields, based on first principles lattice simulations using staggered quarks. Our approach involves the identification of the lowest Landau level modes in two dimensions, where topological arguments ensure a clear separation of these modes from energetically higher states, and an expansion of the full four-dimensional modes in the basis of these two-dimensional states. We evaluate various fermionic observables including the quark condensate and the spin polarization in this basis to find how much the lowest Landau level contributes to them. The results allow for a deeper insight into the dynamics of quarks and gluons in background magnetic fields and may be directly compared to low-energy models of QCD employing the lowest Landau level approximation.
21 pages, 19 figures
References in corpus (35)
- The Chiral Magnetic Effect
- Exactly massless quarks on the lattice
- The QCD equation of state with dynamical quarks
- Properties and uses of the Wilson flow in lattice QCD
- The QCD phase diagram for external magnetic fields
- More about exactly massless quarks on the lattice
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- QCD quark condensate in external magnetic fields
- Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
- "Strongly interacting matter in magnetic fields": an overview
- Inverse magnetic catalysis and the Polyakov loop
- Superconductivity of QCD vacuum in strong magnetic field
- Inverse magnetic catalysis in dense holographic matter
- Chiral symmetry and the Yang--Mills gradient flow
- Chiral Properties of Strong Interactions in a Magnetic Background
- Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
- Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
- Discrete Accidental Symmetry for a Particle in a Constant Magnetic Field on a Torus
- Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow
- Catalysis of Dynamical Flavor Symmetry Breaking by a Magnetic Field in Dimensions
- Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
- New look at the QCD ground state in a magnetic field
- Phase diagram of hot magnetized two-flavor color superconducting quark matter
- The Magnetic Structure of Light Nuclei from Lattice QCD
- Magnetic susceptibility of QCD at zero and at finite temperature from the lattice
- Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
- Dynamical quark mass generation in a strong external magnetic field
- Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields
- Magnetic-field Induced Screening Effect and Collective Excitations
- A renormalization group approach for QCD in a strong magnetic field
- Thermal chiral and deconfining transitions in the presence of a magnetic background
- Local CP-violation and electric charge separation by magnetic fields from lattice QCD
- Effect of quark masses on the QCD presssure in a strong magnetic background
- Drag suppression in anomalous chiral media
- Gauge Independence and Chiral Symmetry Breaking in a Strong Magnetic Field
Cited by in corpus (36)
- Meson masses in electromagnetic fields with Wilson fermions
- Magnetic catalysis and inverse catalysis for heavy pions
- Effective description of hot QCD medium in strong magnetic field and longitudinal conductivity
- Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
- Magnetized baryons and the QCD phase diagram: NJL model meets the lattice
- Magnetic susceptibility of QCD matter and its decomposition from the lattice
- Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
- Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
- Weak decay of magnetized pions
- Pion magnetic polarisability using the background field method
- Magnetic polarisability of the nucleon using a Laplacian mode projection
- Confining and chiral properties of QCD in extremely strong magnetic fields
- Thermodynamic Behaviour of Magnetized QGP within the Self-Consistent Quasiparticle Model
- Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter
- Seebeck effect in a thermal QCD medium in the presence of strong magnetic field
- Momentum and its affiliated transport coefficients for a hot QCD matter in a strong magnetic field
- Neutron magnetic polarisability with Landau mode operators
- Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field
- Thermomagnetic properties and Debye Screening for magnetized quark-gluon Plasma using the extended self-consistent quasiparticle model
- Pion in a uniform background magnetic field with clover fermions
- Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
- Heavy quark potential and LQCD based quark condensate at finite magnetic field
- Towards charged hadron polarizabilities from four-point functions in lattice QCD
- Viscous properties of hot and dense QCD matter in the presence of a magnetic field
- Thermal QCD in a non-uniform magnetic background
- Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization
- The Chiral Separation Effect from lattice QCD at the physical point
- Charged pion electric polarizability from four-point functions in lattice QCD
- On the absence of the Chiral Magnetic Effect in equilibrium QCD
- Thermoelectric response of a weakly magnetized thermal QCD medium
- Charged pion electric polarizability from lattice QCD
- Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
- Magnetic Polarisability of Octet Baryons via Lattice QCD
- Method to preserve the chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice
- The Yukawa potential under weak magnetic field
- Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime