Euler-Heisenberg actions for gauge-axial background vectors: Hessian diagonalization, sector classification, and applications
This paper derives closed-form one-loop Euler-Heisenberg effective actions for Dirac fermions in combined electromagnetic and massive axial vector backgrounds by diagonalizing the functional Hessian to classify stability sectors, revealing novel nonperturbative pair-production rates with vacuum stabilization, dynamical chiral symmetry breaking, and potential applications ranging from baryogenesis to condensed matter physics.