Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917461046067200 |
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| author | Plácido-Flores, E. Linares, Román López, V. Escobar, C. A. |
| author_facet | Plácido-Flores, E. Linares, Román López, V. Escobar, C. A. |
| contents | We investigate gauge-invariant nonlinear electrodynamics in the Plebański first-order Hamiltonian formulation, taking the single-invariant potential $\hat V(P)$ as the primary object. Our focus is on the existence of stable Lorentz-violating magnetic vacua. For three explicit two-parameter models -- rational asymmetric, logarithmic, and exponential -- we determine the regions of parameter space in which nontrivial constant electromagnetic vacua are compatible with an effective Hamiltonian bounded from below and a positive-semidefinite Hessian. In all three cases, physically admissible Lorentz-violating vacua are realized in the magnetic branch. We further discuss the electric branch and several additional one-parameter models, illustrating that Hamiltonian boundedness by itself does not ensure spontaneous Lorentz symmetry breaking. We also comment on how the symmetry-breaking conditions are related to known strong-field causality criteria. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03341 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics Plácido-Flores, E. Linares, Román López, V. Escobar, C. A. High Energy Physics - Theory We investigate gauge-invariant nonlinear electrodynamics in the Plebański first-order Hamiltonian formulation, taking the single-invariant potential $\hat V(P)$ as the primary object. Our focus is on the existence of stable Lorentz-violating magnetic vacua. For three explicit two-parameter models -- rational asymmetric, logarithmic, and exponential -- we determine the regions of parameter space in which nontrivial constant electromagnetic vacua are compatible with an effective Hamiltonian bounded from below and a positive-semidefinite Hessian. In all three cases, physically admissible Lorentz-violating vacua are realized in the magnetic branch. We further discuss the electric branch and several additional one-parameter models, illustrating that Hamiltonian boundedness by itself does not ensure spontaneous Lorentz symmetry breaking. We also comment on how the symmetry-breaking conditions are related to known strong-field causality criteria. |
| title | Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.03341 |