Dressing and Screening in Anti-de Sitter
Ankur, Lorenzo Di Pietro, Victor Gorbenko, Shota Komatsu, Veronica Sacchi

TL;DR
This paper explores gauge-invariant observables in AdS scalar electrodynamics, revealing a novel Higgs mechanism, constructing dressed operators, and analyzing higher-form symmetries relevant for cosmology and de Sitter physics.
Contribution
It introduces a new Higgs mechanism in AdS without a classical VEV, constructs gauge-invariant dressed operators, and analyzes higher-form symmetries and their physical implications.
Findings
Explicit one-loop mass calculation for gauge fields in AdS
Construction of gauge-invariant dressed charged operators
Decoupling of boundary field strengths and higher-form symmetry insights
Abstract
Motivated by a question of defining gauge-invariant observables in cosmology and by the close connection between perturbation theory in de Sitter (dS) and Anti-de Sitter (AdS), we study scalar electrodynamics in AdS in setups that are largely unexplored but relevant for dS physics. For photons with standard (Dirichlet) boundary conditions, we analyze charged scalars whose boundary conditions break the symmetry. This leads to a nonstandard Higgs mechanism in which the gauge field acquires a one-loop mass without a classical vacuum expectation value. Using recent advances in perturbation theory in AdS, we compute this mass explicitly and evaluate charged-scalar four-point functions. We also provide an alternative derivation based on boundary Ward identities. For photons with alternate (Neumann) boundary conditions, where local charged operators are not gauge invariant, we construct…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions
