Beyond-Constant-Mass-Approximation Magnetic Catalysis in the Gauge Higgs-Yukawa Model

Abstract

Beyond-constant-mass approximation solutions for magnetically catalyzed fermion and scalar masses are found in a gauge Higgs-Yukawa theory in the presence of a constant magnetic field. The obtained fermion masses are several orders of magnitude larger than those found in the absence of Yukawa interactions. The masses obtained within the beyond-constant-mass approximation exactly reduce to the results within the constant-mass approach when the condition $\nu \ln (\frac{1}{{\hat{m}}^2})\ll 1$ is satisfied. Possible applications to early universe physics and condensed matter are discussed.

Revised numerical results. New figures. Several sections rewritten

References in corpus (7)

• Magnetic field driven metal-insulator phase transition in planar systems
• Magnetic catalysis and anisotropic confinement in QCD
• The Influence of an External Chromomagnetic Field on Color Superconductivity
• Thermal Conductivity in 3D NJL Model Under External Magnetic Field
• Magnetic catalysis of parity breaking in a massive Gross-Neveu model and high-temperature superconductivity
• Magnetic Field Induced Gap and Kink Behavior of Thermal Conductivity
• Large N dynamics in QED in a magnetic field

Cited by in corpus (23)

• Equation of State of a Dense and Magnetized Fermion System
• Color-Superconducting Gap in the Presence of a Magnetic Field
• Magnetic Catalysis: A Review
• New look at the QCD ground state in a magnetic field
• Magnetic Phases in Three-Flavor Color Superconductivity
• (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
• Gauge independent approach to chiral symmetry breaking in a strong magnetic field
• Neutrino Propagation in a Strongly Magnetized Medium
• Dynamically Generated Anomalous Magnetic Moment in Massless QED
• A new look at the modified Coulomb potential in a strong magnetic field
• Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic field
• Mass modification of hot pions in magnetized dense medium
• Quark and pion condensation in a chromomagnetic background field
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED
• Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields
• Magnetic Field Effect in the Fine-Structure Constant and Electron Dynamical Mass
• Axion-Polaritons in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Lack of Debye and Meissner screening in strongly magnetized quark matter at intermediate densities
• Vacuum stabilized by anomalous magnetic moment
• Everlasting interaction: polarization summation without a Landau pole
• No Net Charge Separation in Hot QCD in a Magnetic Field