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arXiv 1505.02483hep-th
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非常狭义相对论中的玻恩-因费尔德电动力学

Born-Infeld electrodynamics in very special relativity

R. Bufalo

摘要:

本文在非常狭义相对论(VSR)的框架下讨论了修正的玻恩-因费尔德电动力学的性质。这个建议使我们能够在规范不变的非线性电动力学的背景下研究VSR质量效应。详细分析了两种不同情况下的静电解,发现VSR色散关系是具有非线性修正的\emph{massive}粒子的色散关系。然后,计算了场能量和静电势,在静电势中,我们从VSR的贡献中发现了一种新的对库仑势的长程$1/L^3$修正,与通常的Born-Infeld理论的$1/L^5$修正相反.

英文摘要:

In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a \emph{massive} particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range $1/L^3$ correction to the Coulomb potential, in contrast to the $1/L^5$ correction of the usual Born-Infeld theory.

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