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Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
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We use the linear sigma model with quarks to find the magnetic field-induced modifications to the neutral pion mass at one-loop level. The magnetic field effects are introduced by using charged particle propagators in the presence of a magnetic background in the strong field regime. We show that when accounting for the effects of the magnetic field on the model couplings, the vacuum sigma field and the neutral pion self-energy, the neutral pion mass decreases monotonically as a function of the field strength. We find an excellent qualitative and quantitative agreement with recent lattice QCD calculations, reproducing the monotonically decreasing trend with the field strength as well as the decrease when lattice data approaches the physical vacuum pion mass from larger values.
Forward citations
Cited by 2 Pith papers
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Magnetic field modifications to the pion-quark vertex in the Linear Sigma Model with quarks
The magnetic field modifies the pion-quark vertex in the Linear Sigma Model; a tree-level modification vanishes after summing Landau levels, and the claimed one-loop LLL identity between Ritus and Schwinger methods fa...
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Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme
Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.
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