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arXiv 1011.3528hep-phgr-qchep-th
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量子引力诱导的洛伦兹破坏和动力学质量产生

Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation

Nick E. Mavromatos

备注：
34 pages latex, uses special macros (axodraw), three eps figures incorporated
发表信息：
Phys.Rev.D83:025018,2011
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摘要：

在文献[1]（J. Alexandre）中，提出了（3+1）维量子电动力学的一个最小推广，它包含了规范扇区中的各向同性高阶（空间）导数项形式的洛伦兹破坏（LV），并被质量标度$M$抑制。该模型可以导致带电费米子的动力学质量产生。在这篇文章中，我将进一步阐述这个想法，并试图将它与特定的量子引力模型联系起来，这些模型是从弦/膜理论中得到启发的。具体来说，在本文的第一部分，我简要评论了[1]近似中动态质量生成的规范依赖性，并提出了一种通过捏点技术获得真正的规范参数无关质量值的可能途径。论证。在第二部分的工作中，我嵌入LV QED模型到多膜世界的情况下，以提供一个几何的方式增强动力学质量的唯象现实的价值观，通过批量翘曲度规因素，在（逆）兰德尔Sundrum层次。最后，在本文的第三部分，我证明了这种Lorentz Violating QED模型可以代表在量子D 0粒子随机时空泡沫背景中传播的开弦的低能有效作用量（Finsler-Born-Infeld型）的一部分，它们被视为一致的量子引力配置。

英文摘要：

In Ref. [1] (by J. Alexandre) a minimal extension of (3+1)-dimensional Quantum Electrodynamics has been proposed, which includes Lorentz-Violation (LV) in the form of higher-(spatial)-derivative isotropic terms in the gauge sector, suppressed by a mass scale $M$. The model can lead to dynamical mass generation for charged fermions. In this article I elaborate further on this idea and I attempt to connect it to specific quantum-gravity models, inspired from string/brane theory. Specifically, in the first part of the article, I comment briefly on the gauge dependence of the dynamical mass generation in the approximations of [1], and I propose a possible avenue for obtaining the true gauge-parameter-independent value of the mass by means of Pinch Technique argumentations. In the second part of the work I embed the LV QED model into multibrane world scenarios with a view to provide a geometrical way of enhancing the dynamical mass to phenomenologically realistic values by means of bulk warp metric factors, in an (inverse) Randall-Sundrum hierarchy. Finally in the third part of this note, I demonstrate that such Lorentz Violating QED models may represent parts of a low-energy effective action (of Finsler-Born-Infeld type) of open strings propagating in quantum D0-particle stochastic space-time foam backgrounds, which are viewed as consistent quantum gravity configurations.

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