In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
Spectral function for pions in magnetic field
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abstract
This study examines the spectral functions of neutral ($\pi_0$) and charged ($\pi_{\pm}$) pions under a uniform magnetic field using the SU(2) Nambu-Jona-Lasinio (NJL) model with the Ritus method. The analysis highlights the complex interplay of magnetic field effects, thermal influences, and chiral symmetry on meson properties in extreme QCD environments. For $\pi_0$, whose properties are governed by the behavior of its constituent quarks, magnetic field-induced Landau levels lead to a multi-peak structure in its spectral function, reflecting stable and resonance solutions that evolve with temperature, showing shifts and critical enhancements near chiral restoration. For $\pi_{\pm}$, cross terms that come from the asymmetry between the constituent quarks introduce Landau cuts alongside Unitary cuts, indicating damping effects, with decay widths narrowing at higher temperatures, suggesting increased stability.
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Next-to-leading order chiral perturbation theory yields renormalized magnetic masses and decay constants for the meson octet, with neutral pion mass decreasing, neutral kaon mass unchanged, charged meson masses modified identically, and all decay constants increasing monotonically.
Neutral mesons conserve continuous transverse momenta in magnetic fields while charged mesons exhibit quantized transverse dynamics, with high-spin charged mesons stabilized by cancellation of internal zero-point energy against orbital Zeeman energy.
citing papers explorer
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Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization
In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
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Meson Octet in a Uniform Magnetic Field
Next-to-leading order chiral perturbation theory yields renormalized magnetic masses and decay constants for the meson octet, with neutral pion mass decreasing, neutral kaon mass unchanged, charged meson masses modified identically, and all decay constants increasing monotonically.
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Delineating neutral and charged mesons in magnetic fields
Neutral mesons conserve continuous transverse momenta in magnetic fields while charged mesons exhibit quantized transverse dynamics, with high-spin charged mesons stabilized by cancellation of internal zero-point energy against orbital Zeeman energy.