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arXiv 1506.07232hep-th
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大黄蜂电动力学中的辐射修正

Radiative corrections in bumblebee electrodynamics

R. V. Maluf, J. E. G. Silva, C. A. S. Almeida

摘要:

我们研究了平坦时空中大黄蜂电动力学的一些量子特性。大黄蜂场是一个导致自发洛伦兹对称破缺的矢量场。对于光滑的二次势,无质量激发(南武-戈德斯通玻色子)可以被认为是光子,横截于大黄蜂场的真空期望值。此外,存在与纵模相关的大量激发,其存在导致理论谱的不稳定性。通过使用主值处方,我们表明,没有单圈辐射修正的质量项产生。此外,熊蜂自能不是横向的,这表明纵向模式的传播不能从有效理论中排除。

英文摘要:

We investigate some quantum features of the bumblebee electrodynamics in flat spacetimes. The bumblebee field is a vector field that leads to a spontaneous Lorentz symmetry breaking. For a smooth quadratic potential, the massless excitation (Nambu-Goldstone boson) can be identified as the photon, transversal to the vacuum expectation value of the bumblebee field. Besides, there is a massive excitation associated with the longitudinal mode and whose presence leads to instability in the spectrum of the theory. By using the principal-value prescription, we show that no one-loop radiative corrections to the mass term is generated. Moreover, the bumblebee self-energy is not transverse, showing that the propagation of the longitudinal mode can not be excluded from the effective theory.

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