Exact power-law family of duality-preserving nonlinear electrodynamics constructed via stress-tensor flows, with a causality no-go result showing only the undeformed Maxwell seed is causal in the relevant regime.
Causal self-dual nonlinear electrodynamics from the Born-Infeld theory
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
Recently we have proposed a new auxiliary-field formulation for self-dual nonlinear electrodynamics (NLED) which makes use of two building blocks: (i) a seed self-dual theory $L(F_{\mu\nu};g)$, where $F_{\mu \nu}$ is the electromagnetic field strength and $g$ a duality-invariant coupling constant; and (ii) a scalar potential $W(\psi)$. Our formulation is based on the Lagrangian $ \mathfrak{L}(F_{\mu\nu};\psi) = L(F_{\mu\nu};\psi) + W(\psi)$, where $\psi$ is an auxiliary scalar field. Integrating out $\psi$, using its equation of motion, one obtains a $\mathsf{U}(1)$ duality-invariant NLED. Different self-dual NLEDs are derived by choosing different potentials $W(\psi)$. In the case that the seed Lagrangian defines the Born-Infeld theory, in this paper we demonstrate that the resulting models for self-dual NLED are causal and provide a general solution of the self-duality equation. We also elaborate on the procedure to relate our formulation to that developed by Russo and Townsend.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A one-parameter flow ∂_λ ℒ = ℛ_λ^{1/α} yields closed-form solutions in duality-invariant 4D electrodynamics and 2D integrable sigma models, with α=1 recovering root-TTbar and other values producing irrelevant (α<1) or relevant (α>1) deformations.
citing papers explorer
-
Exact Relevant Stress-Tensor Flows and a Causality No-Go in Self-Dual Electrodynamics
Exact power-law family of duality-preserving nonlinear electrodynamics constructed via stress-tensor flows, with a causality no-go result showing only the undeformed Maxwell seed is causal in the relevant regime.
-
The Triple $T\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant
A one-parameter flow ∂_λ ℒ = ℛ_λ^{1/α} yields closed-form solutions in duality-invariant 4D electrodynamics and 2D integrable sigma models, with α=1 recovering root-TTbar and other values producing irrelevant (α<1) or relevant (α>1) deformations.