{
  "abstract": "Causal self-dual nonlinear electrodynamics admits a simple auxiliary-field description: the Lagrangian is linear in the two Lorentz invariants of the field strength, and the dynamics is encoded in a potential $W(φ)$ of a single auxiliary variable. We study non-perturbative $T\\bar T$-like flows of these theories in this formalism. The irrelevant (stress-tensor) deformation acts on the potential by a rescaling, while the marginal ModMax-type deformation translates its vacuum. We derive the resulting flow equations exactly, show that the irrelevant exact $T\\bar T$-like flow takes the autonomous form $\\partial_λ\\mathcal L=X\\,F(r)$, where the closed form kernel $F$ depends only on the ratio $r=-T^μ_μ/\\sqrt{4X-Y}$ of stress-tensor invariants. We also give an explicit reconstruction of the auxiliary potential from a given kernel. Causality imposes the differential inequality $D(r)>1/(1-r)$, while a globally single-valued kernel requires the ratio $r$ to be monotonic along the auxiliary branch. We examine the relation between the evenness of the exact $T\\bar T$-like flow , the $φ$-parity of the potential, and the analyticity of the Lagrangian in the electromagnetic invariants, including the effect of a marginal ModMax parameter. We construct the linear auxiliary and Hamiltonian formulations and show that the Hamiltonian flow is governed by the same exact $T\\bar T$-like flow with the opposite sign. We also express Born's Legendre self-duality, the two characteristic cones, and the energy conditions in terms of the kernel. In particular, $r=(\\varepsilon-p_\\perp)/(\\varepsilon+p_\\perp)$ has a direct physical interpretation. Exact $T\\bar T$-like flow s are obtained for generalized Born-Infeld, logarithmic, q-deformed, and no-$τ$-maximum electrodynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35135",
  "author_total": 3,
  "authors": [
    {
      "name": "Zahra Pezhman"
    },
    {
      "name": "H. Babaei-Aghbolagh"
    },
    {
      "name": "Komeil Babaei Velni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ey2x54b10vndy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35135",
  "fulltext_url": null,
  "id": "ey2x54b10vndy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35135",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7223803692",
  "pdf_url": "https://arxiv.org/pdf/2610.35135",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ey2x54b10vndy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35135",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35135"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Exact Stress Tensor Flows in Causal Electrodynamics: Auxiliary Field Formalism",
  "title_text": "Exact Stress Tensor Flows in Causal Electrodynamics: Auxiliary Field Formalism",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/ey2x54b10vndy",
  "venue": "arXiv",
  "versions": []
}