Taming Mass Gaps with Anti–de Sitter Space

Anti-de Sitter space acts as an infrared cutoff 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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Publication Details

Journal
Physical Review Letters
Published
2024-08-19
DOI
https://doi.org/10.1103/physrevlett.133.081601
Citations
9
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
5.94

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article

Taming Mass Gaps with Anti–de Sitter Space

Christian Copetti, Ziming Ji, Lorenzo Di Pietro, Shota Komatsu
9 citations
Physical Review Letters
Black Holes and Theoretical Physics
5.94
article

Taming Mass Gaps with Anti–de Sitter Space

Christian Copetti, Ziming Ji, Lorenzo Di Pietro, Shota Komatsu
article en
9 citations

Abstract

Anti-de Sitter space acts as an infrared cutoff 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.

Physical Review LettersVol. 133(8)
Scuola Internazionale Superiore di Studi Avanzati (IT), University of Trieste (IT), University of Oxford (GB), Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT), European Organization for Nuclear Research (CH)
Ministero dell’Istruzione, dell’Università e della Ricerca, Science and Technology Facilities Council, Instituto Nazionale di Fisica Nucleare
Sustainable cities and communities
Openalex Percentile: Top 3%
Black Holes and Theoretical Physics
5.94
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Taming Mass Gaps with Anti–de Sitter Space — Christian Copetti, Ziming Ji, et al. · Physical Review Letters (2024) | TGRS Research Map | TGRS