Bibliographic Details
| Title: |
Exploring Confinement in Anti-de Sitter Space |
| Authors: |
Ciccone, Riccardo, De Cesare, Fabiana, Di Pietro, Lorenzo, Serone, Marco |
| Publication Year: |
2024 |
| Collection: |
High Energy Physics - Theory |
| Subject Terms: |
High Energy Physics - Theory |
| More Details: |
We study Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. As observed in [1] this implies a deconfinement-confinement transition as the radius is increased. We gather hints on the nature of this transition using perturbation theory. We compute the anomalous dimensions of the lightest scalar operators in the boundary theory, finding that the singlet gets a larger negative anomalous dimension compared to the adjoint. We also compute the correction to the coefficient $C_J$ and we estimate that the singlet operator reaches marginality before the value of the coupling at which $C_J=0$. These results favor the scenario of merger and annihilation as the most promising candidate for the transition. For the Neumann boundary condition, the lightest scalar operator is found to have a positive anomalous dimension, in agreement with the idea that this boundary condition extrapolates smoothly to flat space. The perturbative calculations are made possible by a drastic simplification of the gauge field propagator in Fried-Yennie gauge. We also derive a general result for the leading-order anomalous dimension of the displacement operator for a generic perturbation in Anti-de Sitter, showing that it is related to the beta function of bulk couplings.
Comment: 51 pages, 4 figures, 1 table, 7 boxed equations. v2: the expressions for the vector propagator in Fried-Yennie gauge and the ghost propagator with Neumann boundary conditions were added; typos fixed, references added, corrected error in the determination of the anomalous dimensions. v3: quantitative results changed, qualitative picture remains unchanged |
| Document Type: |
Working Paper |
| DOI: |
10.1007/JHEP12(2024)218 |
| Access URL: |
http://arxiv.org/abs/2407.06268 |
| Accession Number: |
edsarx.2407.06268 |
| Database: |
arXiv |
