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arXiv 2409.02879hep-th
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AdS上的全息禁闭量子场论

On holographic confining QFTs on AdS

Ahmad Ghodsi, Elias Kiritsis, Francesco Nitti

AI总结:

本文研究固定AdS空间上的平直空间禁闭全息QFT,构造解空间并分类单边界、双边界及无边界解,计算自由能,发现无相变且界面中乘积鞍点占优。

摘要:

在平直空间中发生禁闭的全息量子场论,被置于一个固定的AdS空间上加以考虑。本文构造了这类理论的全息解空间,并发现了三类正则解。具有两个AdS边界的理论提供了两个禁闭理论之间的界面。具有单个AdS边界的理论对应于AdS上单个禁闭理论的基态。我们发现了没有边界的解,其解释尚不清楚。还存在一个特殊的极限解,它围绕UV固定点振荡无限多次。我们详细分析了单边界解的全息字典,并计算了自由能。当改变曲率时,没有发现(量子)相变。我们发现了无限多个纯vev解,但不存在没有vev的CFT解。我们还计算了界面解的自由能。我们发现乘积鞍点始终比连通解具有更低的自由能。这意味着在此类界面中,归一化的交叉关联子在$N_c^2$中指数衰减为零。

英文摘要:

Holographic quantum field theories that confine in flat space, are considered on a fixed AdS space. The space of holographic solutions for such theories is constructed and three types of regular solutions are found. Theories with two AdS boundaries provide interfaces between two confining theories. Theories with a single AdS boundary correspond to ground states of a single confining theory on AdS. We find solutions without a boundary, whose interpretation is not obvious. There is also a special limiting solution that oscillates an infinite number of times around the UV fixed point. We analyze in detail the holographic dictionary for the one-boundary solutions and compute the free energy. No (quantum) phase transitions are found when we change the curvature. We find an infinite number of pure vev solutions, but no CFT solution without a vev. We also compute the free energy of the interface solutions. We find that the product saddle points have always lower free energy than the connected solutions. This implies that in such interfaces, normalized cross-correlators vanish exponentially in $N_c^2$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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