Spectral properties of $\rho$ meson in a magnetic field

Abstract

We calculate the rho meson mass in a weak magnetic field using effective $\rho \pi \pi$ interaction. It is seen that both ${\rho }^0$ and ${\rho }^{\pm }$ masses decrease with the magnetic field in vacuum. $\rho$ meson dispersion relation has been calculated and shown to be different for ${\rho }^0$ and ${\rho }^{\pm }$. We also calculate the $\rho \pi \pi$ decay width and spectral functions of ${\rho }^0$ and ${\rho }^{\pm }$. The width is seen to decrease with $eB$ and the spectral functions become narrower.

References in corpus (10)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Superconductivity of QCD vacuum in strong magnetic field
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Color-Superconducting Gap in the Presence of a Magnetic Field
• Color superconducting matter in a magnetic field
• Magnetic Phases in Three-Flavor Color Superconductivity
• Charged and neutral vector meson under magnetic field
• Vafa-Witten theorem, vector meson condensates and magnetic-field-induced electromagnetic superconductivity of vacuum
• Amending the Vafa-Witten Theorem

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• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory