Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916560683139072 |
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| author | Neves, M. J. |
| author_facet | Neves, M. J. |
| contents | In this paper, the dimensional reduction is applied to the Lee-Wick electrodynamics in which the classical sources are confined on a spatial plane. As result, the Lee-Wick pseudo-electrodynamics is achieved as a non-local electromagnetism defined in $1+2$ dimensions. The abelian Anderson-Higgs mechanism is so introduced in the Lee-Wick pseudo-electrodynamics through a complex scalar sector in $1+2$ dimensions, breaking spontaneously the $U(1)$-gauge symmetry of the non-local theory. As consequence, the pseudo-Lee-Wick field acquires a light mass, beyond the usual heavy Lee-Wick mass, that is a natural mass parameter of the theory. After the spontaneous symmetry breaking takes place, classical features of the theory are discussed, as the Proca-Lee-Wick pseudo-electrodynamics, with the field equations and conservation laws. The introduction of Lee-Wick fermions also is proposed, in which it opens the discussion of a viable Proca-Lee-Wick pseudo-quantum electrodynamics in $1+2$ dimensions. The unitarity at the tree level of the Lee-Wick pseudo-electrodynamics is discussed through the Optical theorem. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_00314 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics Neves, M. J. High Energy Physics - Theory In this paper, the dimensional reduction is applied to the Lee-Wick electrodynamics in which the classical sources are confined on a spatial plane. As result, the Lee-Wick pseudo-electrodynamics is achieved as a non-local electromagnetism defined in $1+2$ dimensions. The abelian Anderson-Higgs mechanism is so introduced in the Lee-Wick pseudo-electrodynamics through a complex scalar sector in $1+2$ dimensions, breaking spontaneously the $U(1)$-gauge symmetry of the non-local theory. As consequence, the pseudo-Lee-Wick field acquires a light mass, beyond the usual heavy Lee-Wick mass, that is a natural mass parameter of the theory. After the spontaneous symmetry breaking takes place, classical features of the theory are discussed, as the Proca-Lee-Wick pseudo-electrodynamics, with the field equations and conservation laws. The introduction of Lee-Wick fermions also is proposed, in which it opens the discussion of a viable Proca-Lee-Wick pseudo-quantum electrodynamics in $1+2$ dimensions. The unitarity at the tree level of the Lee-Wick pseudo-electrodynamics is discussed through the Optical theorem. |
| title | Classical features, Anderson-Higgs mechanism, and unitarity in Lee-Wick pseudo-electrodynamics |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.00314 |