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arXiv 1912.00523hep-th
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$(2+1)$ -D中超对称情形下的洛伦兹对称性破坏物理

Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D

L. D. Bernal, Patricio Gaete, Y. P. M. Gomes, José A. Helayël-Neto

摘要:

研究了超对称情形下$(3+1)$维Lorentz Violating Lagrangian在物质和规范扇区中的降维问题。因此,我们得到了一个有效的模型,在我们的框架与洛伦兹对称性破坏的超对称性的影响所诱导的光子。这个模型进行了讨论与带电粒子之间的静电势的实现。我们的计算是在规范不变,但路径依赖变量形式主义的框架内进行的。因此,我们发现,相互作用能显示出一个屏蔽部分,编码的贝塞尔函数,和一个线性的限制势。

英文摘要:

We study the dimensional reduction for a $(3+1)$-dimensional Lorentz Violating Lagrangian in the matter and gauge sectors in a Supersymmetric scenario. We thus obtain an effective model for photons induced by the effects of supersymmetry in our framework with Lorentz-symmetry violating. This model is discussed in connection with the attainment of a static potential between charged particles. Our calculation is done within the framework of the gauge-invariant, but path-dependent variable formalism. We thus find that the interaction energy displays a screening part, encoded by Bessel functions, and a linear confining potential.

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