Mass modification of hot pions in magnetized dense medium
arXiv:1708.02385 · doi:10.1103/PhysRevD.96.016024
Abstract
A phenomenological pion-nucleon interaction is used to obtain pionic mass modification in presence of constant homogeneous magnetic field background at finite temperature and chemical potential in the real time formalism of thermal field theory. The magnetically modified propagator in its complete form is used to obtain the one loop self-energy for pions. For charged pions we find that the effective mass increases with the magnetic field at given temperature and chemical potential. Since the transverse momentum of charged pion is quantized and its contribution to Dyson-Schwinger Equation is large compared to the loop correction, the charged pion mass remains constant with both temperature and chemical potential for a given landau level. In order to unveil the role of the real part of the self-energy, we also calculate the effective mass neglecting the trivial shift. The effective mass for charged pions shows an oscillatory behavior which is attributed to the thermal contribution of the self-energy. It is argued that the magnetic field dependent vacuum contribution to the self-energy influences the behavior of the effective mass both qualitatively and quantitatively. We also find that very large field is necessary for neutral pions to condense.
16 pages, 6 figures
References in corpus (16)
- Neutron Star Observations: Prognosis for Equation of State Constraints
- QCD Phase Transition in a Strong Magnetic Background
- The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
- Chiral Properties of Strong Interactions in a Magnetic Background
- Color-flavor locked superconductor in a magnetic field
- Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
- Color-Superconducting Gap in the Presence of a Magnetic Field
- Color superconducting matter in a magnetic field
- Magnetic Phases in Three-Flavor Color Superconductivity
- Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
- Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
- The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
- Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
- Spectral properties of meson in a magnetic field
- Existence and stability of multiple solutions to the gap equation
- Quark matter under strong magnetic field in chiral models