Anomalous-magnetic-moment-enhanced Casimir effect

Abstract

We theoretically investigate the impact of the anomalous magnetic moment (AMM) of Dirac fermions on the fermionic Casimir effect under magnetic fields. We formulate it as an extension of the well-known Lifshitz formula. From our formula, we find that the AMM increases the fermionic Casimir energy. In particular, when the AMM is large enough, the Casimir energy is significantly enhanced by the gapless behavior of the lowest Landau level. We also quantitatively estimate the Casimir energy from electron, muon, and constituent quark fields under magnetic fields and propose possible phenomena at finite temperature and fermion density.

13 pages, 10 figures

References in corpus (58)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• New Developments in the Casimir Effect
• Measurement of the Casimir force between parallel metallic surfaces
• The Casimir force between real materials: experiment and theory
• A Materials Perspective on Casimir and van der Waals Interactions
• Chiral magnetic effect in the PNJL model
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Tunable Casimir repulsion with three dimensional topological insulators
• Dressed-quark anomalous magnetic moments
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Bulk Properties of a Fermi Gas in a Magnetic Field
• New look at the QCD ground state in a magnetic field
• Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
• (In-)Significance of the Anomalous Magnetic Moment of Charged Fermions for the Equation of State of a Magnetized and Dense Medium
• Dynamically Induced Zeeman Effect in Massless QED
• Effect of the anomalous magnetic moment of quarks on magnetized QCD matter and meson spectra
• Dynamically Generated Anomalous Magnetic Moment in Massless QED
• The Anomalous Magnetic Moment of Quarks
• NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Casimir effect in Yang-Mills theory
• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• Inverse catalysis effect of quark anomalous magnetic moment to chiral restoration and deconfinement phase transitions
• Effects of anomalous magnetic moment of quarks on the dilepton production from hot and dense magnetized quark matter using the NJL model
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• The Casimir effect in topological matter
• Bosonic Casimir effect in external magnetic field
• Finite temperature Casimir effect for charged massless scalars in a magnetic field
• Boundary states and Non-Abelian Casimir effect in lattice Yang-Mills theory
• The Casimir effect with quantized charged spinor matter in background magnetic field
• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
• Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
• Casimir effect of a Lorentz-violating scalar in magnetic field
• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
• Dynamically generated magnetic moment in the Wigner-function formalism
• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
• Long-range magnetic interaction due to the Casimir effect
• Quark anomalous magnetic moment leads to the inverse magnetic catalysis phenomena of chiral restoration and deconfinement phase transitions in ${\mu }_B-T$ plane
• Dirac/Weyl-node-induced oscillating Casimir effect
• Restriction on the form of quark anomalous magnetic moment from lattice QCD results
• Finite temperature Casimir effect for massive scalars in a magnetic field
• Confined quantum fields under the influence of a uniform magnetic field
• Spin Polarization and Anomalous Magnetic Moment in a (2 + 1)-flavor Nambu-Jona-Lasinio model in a thermomagnetic background
• The Casimir effect with quantized charged scalar matter in background magnetic field
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• The Magnetic Casimir Effect
• Artificial first-order phase transition in a magnetized Nambu--Jona-Lasinio model with a quark anomalous magnetic moment
• Magnetic field corrections to the repulsive Casimir effect at finite temperature
• Pressure from the vacuum of confined spinor matter
• Quark anomalous magnetic moments and neutral pseudoscalar meson dynamics with three-flavor NJL model in magnetized quark matter
• Effect of anomalous magnetic moment on the chiral transition at zero temperature in a strong magnetic field
• Dual chiral density wave induced oscillating Casimir effect
• Revisiting Vacuum Energy in Compact Spacetimes
• Axial inverse magnetic catalysis
• Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
• Lifshitz formulas for finite-density Casimir effect
• Casimir effect in magnetic dual chiral density waves