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arXiv 1105.3740hep-th
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全息胶子动力学模型中的轴子单值性

Axion monodromy in a model of holographic gluodynamics

Sergei Dubovsky, Albion Lawrence, Matthew M. Roberts

摘要:

N型IIA D4-膜在强t Hooft耦合下的低能场论,在费米子的反周期边界条件下被包裹在一个圆上,已知具有依赖于规范场的$θ$角的真空能量,并且是该角的多值函数。这给出了一个非动力学轴子的“轴子单值性”的场论实现。我们构造了亚稳态超引力场论的对偶解,亚稳态是真空到大$θ$值的绝热延拓。我们计算了这个状态的能量,并表明它最初是二次上升,然后消失。我们发现,胶球质量随着$θ$的减小而减小,变得比该模型的UV完成的5d KK尺度低得多。我们构造了两类不同的在相邻真空之间插值的畴壁。我们确定了一些不稳定的模式-成核域壁,散装卡西米尔部队,并在散装的速子绕组模式的冷凝-这表明,亚稳分支最终变得不稳定。最后,我们讨论了两种现象,可以出现时,轴子是动态的,轴子驱动的通货膨胀,和轴子弦。

英文摘要:

The low energy field theory for N type IIA D4-branes at strong 't Hooft coupling, wrapped on a circle with antiperiodic boundary conditions for fermions, is known to have a vacuum energy which depends on the $θ$ angle for the gauge fields, and which is a multivalued function of this angle. This gives a field-theoretic realization of "axion monodromy" for a nondynamical axion. We construct the supergravity solution dual to the field theory in the metastable state which is the adiabatic continuation of the vacuum to large values of $θ$. We compute the energy of this state and show that it initially rises quadratically and then flattens out. We show that the glueball mass decreases with $θ$, becoming much lower than the 5d KK scale governing the UV completion of this model. We construct two different classes of domain walls interpolating between adjacent vacua. We identify a number of instability modes -- nucleation of domain walls, bulk Casimir forces, and condensation of tachyonic winding modes in the bulk -- which indicate that the metastable branch eventually becomes unstable. Finally, we discuss two phenomena which can arise when the axion is dynamical; axion-driven inflation, and axion strings.

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