Thermal effects on $\rho$ meson properties in an external magnetic field

Abstract

A detailed study of the analytic structure of 1-loop self energy graphs for neutral and charged $\rho$ mesons is presented at finite temperature and arbitrary magnetic field using the real time formalism of thermal field theory. The imaginary part of the self energy is obtained from the discontinuities of these graphs across the Unitary and Landau cuts, which is seen to be different for ${\rho }^0$ and ${\rho }^{\pm }$. The magnetic field dependent vacuum contribution to the real part of the self energy, which is usually ignored, is found to be appreciable. A significant effect of temperature and magnetic field is seen in the self energy, spectral function, effective mass and dispersion relation of ${\rho }^0$ as well as of ${\rho }^{\pm }$ relative to its trivial Landau shift. However, for charged $\rho$ mesons, on account of the dominance of the Landau term, the effective mass appears to be independent of temperature. The trivial coupling of magnetic moment of ${\rho }^{\pm }$ with external magnetic field, when incorporated in the calculation, makes the ${\rho }^{\pm }$ to condense at high magnetic field.

References in corpus (12)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Superconductivity of QCD vacuum in strong magnetic field
• 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
• Spectral properties of $\rho$ meson in a magnetic field
• Existence and stability of multiple solutions to the gap equation
• Vafa-Witten theorem, vector meson condensates and magnetic-field-induced electromagnetic superconductivity of vacuum
• Symmetry restoration at finite temperature with weak magnetic fields
• Amending the Vafa-Witten Theorem

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