Maxwell theories along the light track: Null Formalism in extended electrodynamics
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917300268957696 |
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| author | Xiao, Zhi Sun, Bing Zhu, Tao |
| author_facet | Xiao, Zhi Sun, Bing Zhu, Tao |
| contents | We develop a differential-form approach to systematically derive the Newman-Penrose null-tetrad equations for Lorentz-violating extensions of Maxwell electrodynamics. The coordinate-independent nature of differential forms allows the actions and corresponding field equations of the theory to be expressed compactly and enables a systematic and transparent derivation of first-order equations in the Newman-Penrose formalism. Within this formalism, we explicitly present a simple algebraic construction for the gauge invariant extended Maxwell actions that avoids explicit index manipulations up to mass dimension six. The combined scheme of differential-form approach and Newman-Penrose formalism offers an efficient tool for analyzing Lorentz-violating effects on asymptotic photon propagation and polarization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14410 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Maxwell theories along the light track: Null Formalism in extended electrodynamics Xiao, Zhi Sun, Bing Zhu, Tao High Energy Physics - Phenomenology We develop a differential-form approach to systematically derive the Newman-Penrose null-tetrad equations for Lorentz-violating extensions of Maxwell electrodynamics. The coordinate-independent nature of differential forms allows the actions and corresponding field equations of the theory to be expressed compactly and enables a systematic and transparent derivation of first-order equations in the Newman-Penrose formalism. Within this formalism, we explicitly present a simple algebraic construction for the gauge invariant extended Maxwell actions that avoids explicit index manipulations up to mass dimension six. The combined scheme of differential-form approach and Newman-Penrose formalism offers an efficient tool for analyzing Lorentz-violating effects on asymptotic photon propagation and polarization. |
| title | Maxwell theories along the light track: Null Formalism in extended electrodynamics |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.14410 |