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arXiv · 2312.09277

Taming Mass Gap with Anti-de-Sitter Space

Christian Copetti·Lorenzo Di Pietro·Ziming Ji·Shota Komatsu
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Abstract

Anti-de-Sitter space acts as an infra-red cut off for asymptotically free theories, allowing interpolation between a weakly-coupled small-sized regime and a strongly-coupled flat-space regime. We scrutinize the interpolation for theories in two dimensions from the perspective of boundary conformal theories. We show that the appearance of a singlet marginal operator destabilizes a gapless phase existing at a small size, triggering a boundary renormalization group flow to a gapped phase that smoothly connects to flat space. We conjecture a similar mechanism for confinement in gauge theories.

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Christian Copetti, Lorenzo Di Pietro, Ziming Ji, Shota Komatsu. 2023-12-14. Taming Mass Gap with Anti-de-Sitter Space. https://arxiv.org/abs/2312.09277

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