QCD in AdS

Fuente: arXiv
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Autori principali: Ciccone, Riccardo, De Cesare, Fabiana, Di Pietro, Lorenzo, Serone, Marco
Natura: Preprint
Pubblicazione: 2025
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author Ciccone, Riccardo
De Cesare, Fabiana
Di Pietro, Lorenzo
Serone, Marco
author_facet Ciccone, Riccardo
De Cesare, Fabiana
Di Pietro, Lorenzo
Serone, Marco
contents We study QCD on AdS space with scalars or fermions in the fundamental representation, extending earlier results on pure Yang-Mills theory. In the latter, the Dirichlet boundary condition is conjectured to disappear via merger and annihilation, as signaled by the lightest scalar singlet operator approaching marginality as the coupling increases. With matter, there are two candidate operators for this mechanism. We compute their one-loop anomalous dimensions via broken conformal Ward identities and Witten diagrams. In the confining phase, with Dirichlet (Neumann) boundary condition, their anomalous dimensions are negative (positive), consistent with the disappearance (persistence) of the associated boundary CFT in the flat-space limit. In the conformal window, one of these operators becomes the displacement operator of the IR CFT, as signaled by the vanishing of its one-loop anomalous dimension in the perturbative Banks-Zaks regime. Possible scenarios for the lower edge of the conformal window are discussed. Finally, we consider general boundary conditions on fermions and discuss their relation to chiral symmetry breaking in flat space.
format Preprint
id arxiv_https___arxiv_org_abs_2511_04752
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle QCD in AdS
Ciccone, Riccardo
De Cesare, Fabiana
Di Pietro, Lorenzo
Serone, Marco
High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
We study QCD on AdS space with scalars or fermions in the fundamental representation, extending earlier results on pure Yang-Mills theory. In the latter, the Dirichlet boundary condition is conjectured to disappear via merger and annihilation, as signaled by the lightest scalar singlet operator approaching marginality as the coupling increases. With matter, there are two candidate operators for this mechanism. We compute their one-loop anomalous dimensions via broken conformal Ward identities and Witten diagrams. In the confining phase, with Dirichlet (Neumann) boundary condition, their anomalous dimensions are negative (positive), consistent with the disappearance (persistence) of the associated boundary CFT in the flat-space limit. In the conformal window, one of these operators becomes the displacement operator of the IR CFT, as signaled by the vanishing of its one-loop anomalous dimension in the perturbative Banks-Zaks regime. Possible scenarios for the lower edge of the conformal window are discussed. Finally, we consider general boundary conditions on fermions and discuss their relation to chiral symmetry breaking in flat space.
title QCD in AdS
topic High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2511.04752