Exact TT̅-Like Flows in Nonlinear Electrodynamics
Abstract
We derive an exact nonperturbative TT̅-like flow for the class of one-scale, self-dual nonlinear electrodynamics theories admitting a Courant--Hilbert representation. The flow has a universal parametric form in terms of the defining Courant--Hilbert function and, on any physical branch where the relevant invariant map is invertible, becomes an autonomous function of the two quadratic stress-tensor invariants, ∂λℒ=X ℱ(Y/X). The function ℱ is model dependent, and global autonomy is assumed when the invariant map is one-to-one. Born--Infeld theory yields a quadratic stress-tensor flow, whereas the causal Russo--Townsend logarithmic model gives an exact nonlinear expression involving the Lambert W function whose weak-field expansion reproduces the known perturbative result. We also establish the equivalence with the Russo--Townsend auxiliary-field formulation. These results provide an exact construction of autonomous irrelevant flows for a broad, explicitly specified class of self-dual nonlinear electrodynamics theories.
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BibTeX
@misc{pezhman2026exact,
title = {{Exact $T\barT$-Like Flows in Nonlinear Electrodynamics}},
author = {Zahra Pezhman and H. Babaei-Aghbolagh and Komeil Babaei Velni},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23281},
eprint = {2610.23281},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23281},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Exact TT̅-Like Flows in Nonlinear Electrodynamics
AU - Zahra Pezhman
AU - H. Babaei-Aghbolagh
AU - Komeil Babaei Velni
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23281
UR - https://arxiv.org/abs/2610.23281
AB - We derive an exact nonperturbative TT̅-like flow for the class of one-scale, self-dual nonlinear electrodynamics theories admitting a Courant--Hilbert representation. The flow has a universal parametric form in terms of the defining Courant--Hilbert function and, on any physical branch where the relevant invariant map is invertible, becomes an autonomous function of the two quadratic stress-tensor invariants, ∂_λℒ=X ℱ(Y/X). The function ℱ is model dependent, and global autonomy is assumed when the invariant map is one-to-one. Born--Infeld theory yields a quadratic stress-tensor flow, whereas the causal Russo--Townsend logarithmic model gives an exact nonlinear expression involving the Lambert W function whose weak-field expansion reproduces the known perturbative result. We also establish the equivalence with the Russo--Townsend auxiliary-field formulation. These results provide an exact construction of autonomous irrelevant flows for a broad, explicitly specified class of self-dual nonlinear electrodynamics theories.
ER -