论文标题

有限的$θ$ - 角,cp-rueball频谱和强耦合不稳定性的全息理论

Holographic theories at finite $θ$-angle, CP-violation, glueball spectra and strong-coupling instabilities

论文作者

Hamada, Yuta, Kiritsis, Elias, Nitti, Francesco

论文摘要

分析了具有非平凡$θ$角的一般全息理论。 Instanton密度操作员对散装轴磁场是双重的。我们用非平凡的来源计算了基础解决方案,用于轴,$ a_ {uv} $,用于IR中的陡峭和软dilaton电位,均以$ d = 3 $和$ d = 4 $。我们发现所有案例在质量上都相似。我们还计算了自旋$ = 2,0 $粘合球光谱,并表明粘合球质量单调地减小为$ a_ {uv} $的功能(或$θ$ -Angle)。胶球质量的斜率在不同的电位上是不同的。在陡峭的Dilaton电势的情况下,胶球(Masses)$^2 $在达到$ a_ {uv} $的最大值之前。我们将其解释为散装中受青睐的偶然凝结的信号。我们还研究了有效的粘合球动作中的强大CP侵略。

A general class of holographic theories with a nontrivial $θ$-angle are analyzed. The instanton density operator is dual to a bulk axion field. We calculate the ground-state solutions with nontrivial source, $a_{UV}$, for the axion, for both steep and soft dilaton potentials in the IR, and both in $d=3$ and $d=4$. We find all cases to be qualitatively similar. We also calculate the spin$=2,0$ glueball spectra and show that the glueball masses monotonically decrease as functions of $a_{UV}$ (or $θ$-angle). The slopes of glueball masses are different, generically, in different potentials. In the case of steep dilaton potentials, the glueball (masses)$^2$ turn negative before the maximum of $a_{UV}$ is attained. We interpret this as a signal for a favored instanton condensation in the bulk. We also investigate strong CP-violation in the effective glueball action.

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