arXiv 1504.010312015-04gr-qchep-th

度规无关时空体积形式动力学产生的真空结构和引力袋

Vacuum Structure and Gravitational Bags Produced by Metric-Independent Spacetime Volume-Form Dynamics

Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva

备注：: 29 pages, 3 figures; v2 added citation
发表信息：: International Journal of Modern Physics A30 (2015) 1550133 (31 pages)
DOI：: 10.1142/S0217751X1550133X

摘要：

本文提出了一类新的引力-物质-规范理论，它是用两种不同的非黎曼体积形式表示的，与黎曼度规无关。非线性规范场系统包含标准麦克斯韦拉格朗日量的平方根$\sqrt{-F^2}$，该拉格朗日量已知用于描述平坦时空中的电荷约束。在物理Einstein框架下，我们得到了一个“k-本质”型的有效拉格朗日量，它对标量“介子”动力学项X具有二次依赖性，具有两个无限大的平坦区域的显着有效势，以及与“介子”$φ$一起运行的非平凡有效规范耦合常数.对应于两个平坦区域中的每一个，我们发现以下类型的“真空”配置：（i）$φ= const$和非零规范场真空$\sqrt{-F^2}\neq 0$，这对应于一个电荷限制阶段;（ii）X = const（“动力学真空”）和普通规范场真空$\sqrt{-F^2}=0$，它支持无限制电荷动力学。在有效势的平坦区域之一，我们还发现：（iii）X =常数（“动力学真空”）和非零规范场真空$\sqrt{-F^2}\neq 0$，这再次对应于一个电荷限制阶段。在这三种情况下，时空度规都是德西特或施瓦茨希尔德-德西特。这两个“动力真空”（ii）和（iii）只能存在于有限体积的空间区域低于德西特地平线。扩展到整个空间需要匹配后者与外部区域与一个非标准的Reissner-Nordstroem-de Sitter几何携带一个额外的恒定的径向背景电场。结果我们得到了两类具有性质的引力袋状组态，它们一方面部分地平行于孤立子“组分夸克”模型的某些性质，另一方面部分地模仿了量子色动力学唯象中MIT袋的某些性质.

英文摘要：

We propose a new class of gravity-matter-gauge theories in terms of two different non-Riemannian volume-forms independent of the Riemannian metric. The nonlinear gauge field system contains a square-root $\sqrt{-F^2}$ of the standard Maxwell Lagrangian which is known to describe charge confinement in flat spacetime. In the physical Einstein frame we obtain an effective Lagrangian of "k-essence" type with quadratic dependence on the scalar "dilaton" kinetic term X, with a remarkable effective potential possessing two infinitely large flat regions as well as with nontrivial effective gauge coupling constants running with the "dilaton" $φ$. Corresponding to the each of the two flat regions we find "vacuum" configurations of the following types: (i) $φ= const$ and a non-zero gauge field vacuum $\sqrt{-F^2}\neq 0$, which corresponds to a charge confining phase; (ii) X = const ("kinetic vacuum") and ordinary gauge field vacuum $\sqrt{-F^2}=0$ which supports confinement-free charge dynamics. In one of the flat regions of the effective potential we also find: (iii) X = const ("kinetic vacuum") and a non-zero gauge field vacuum $\sqrt{-F^2}\neq 0$, which again corresponds to a charge confining phase. In all three cases the spacetime metric is de Sitter or Schwarzschild-de Sitter. Both "kinetic vacuums" (ii) and (iii) can exist only within a finite-volume space region below a de Sitter horizon. Extension to the whole space requires matching the latter with the exterior region with a nonstandard Reissner-Nordstroem-de Sitter geometry carrying an additional constant radial background electric field. As a result we obtain two classes of gravitational bag-like configurations with properties, which on one hand partially parallel some of the properties of the solitonic "constituent quark" model and, on the other hand, partially mimic some of the properties of MIT bags in QCD phenomenology.

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