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Chiral Symmetry Breaking and Pion Decay in a Magnetic Field
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The pattern of chiral symmetry breaking is exploited to compute vector and axial-vector pion matrix elements in a uniform magnetic field. Our results are model independent, and thereby constitute low-energy theorems that must be obeyed by QCD in external magnetic fields. Chiral perturbation theory and lattice QCD results are compared, for which there is some tension. As an application, the matrix elements are utilized to compute pion decay rates in a magnetic field.
Forward citations
Cited by 1 Pith paper
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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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