A heat kernel technique is developed to compute the one-loop effective action for general nonlinear electrodynamics, yielding a0-a2 coefficients in the weak-field regime and all-order a0 for conformal cases with causality conditions for convergence.
SL(2,R) invariance of non-linear electrodynamics coupled to an axion and a dilaton
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abstract
The most general Lagrangian for non-linear electrodynamics coupled to an axion $a$ and a dilaton $\phi$ with $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion is $$ -\half\left(\nabla\phi\right)^2 - \half e^{2\phi}\left(\nabla a\right)^2 + \fraction{1}{4}aF_{\mu\nu}\star F^{\mu\nu} + L_{\rm inv}(g_{\mu\nu},e^{-\frac{1}{2}\phi}F_{\rho\sigma}) $$ where $L_{\rm inv}(g_{\mu\nu},F_{\rho\sigma})$ is a Lagrangian whose equations of motion are invariant under electric-magnetic duality rotations. In particular there is a unique generalization of Born-Infeld theory admitting $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Auxiliary-field construction from Born-Infeld seed yields causal self-dual nonlinear electrodynamics that generally solve the self-duality equations.
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Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
A heat kernel technique is developed to compute the one-loop effective action for general nonlinear electrodynamics, yielding a0-a2 coefficients in the weak-field regime and all-order a0 for conformal cases with causality conditions for convergence.
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Causal self-dual nonlinear electrodynamics from the Born-Infeld theory
Auxiliary-field construction from Born-Infeld seed yields causal self-dual nonlinear electrodynamics that generally solve the self-duality equations.