Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
Aritra Das, Najmul Haque
Abstract
We calculate the neutral pion mass in the presence of an external magnetic field of arbitrary strength in the framework of the linear sigma model coupled to quarks at zero temperature. We find nonmonotonic behavior of the pion mass as a function of magnetic field. We are also able to reproduce existing results for the weak-field approximation.
Topics & Concepts
PhysicsPionQuarkSigma modelParticle physicsSigmaMagnetic fieldField (mathematics)Quantum electrodynamicsFunction (biology)Nuclear physicsQuantum mechanicsNonlinear systemMathematicsBiologyPure mathematicsEvolutionary biologyHigh-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies