Simplified self-dual electrodynamics

2025/05/13 by Jorge G. Russo, Russo, Jorge G., Paul Townsend +1 · 4 citations
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2505.08869

openalex publication_date 2025/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new formulation of self-dual nonlinear electrodynamics in which interactions are determined by an auxiliary-field potential, with causality ensuring a unique solution to the auxiliary-field equation. The long-standing problem of an explicit Lagrangian for the generic `analytic' theory is simply solved by restriction to potentials that are even functions of the auxiliary field. In this case the Lagrangian can be linearised in quadratic field-strength scalars by the introduction of an additional pseudoscalar auxiliary field; this generalises, to all analytic self-dual theories, a well-known construction of the Born-Infeld theory.

Cited by

• Relating auxiliary field formulations of 4d duality-invariant and 2d integrable field theories
• Generalisations of the Russo-Townsend formulation
• Integrable Sigma Models and Universal Root TT Deformation via Courant-Hilbert Approach
• On non-linear chiral 4-form theories in D=10

Related

• New representation for Lagrangians of self-dual nonlinear electrodynamics
• Invariance of interaction terms in new representation of self-dual electrodynamics
• Causal Self-Dual Electrodynamics
• Root-TT Deformations on Causal Self-Dual Electrodynamic Theories
• Generalisations of the Russo-Townsend formulation