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We consider quantum field theory in a five-dimensional anti-de Sitter background, possibly truncated by 4d branes. In the Euclidian version of this space, it is known that propagators exponentially decay when they go far enough towards the…

High Energy Physics - Theory · Physics 2019-11-07 Sylvain Fichet

We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at…

High Energy Physics - Theory · Physics 2024-06-18 Dean Carmi

We compute a family of scalar loop diagrams in $AdS$. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and…

High Energy Physics - Theory · Physics 2021-05-31 Dean Carmi

We study the Feynman propagator of free scalar fields in $AdS_3$ with a conical defect. The propagator is built by solving the bulk equation of motion, summing over the modes of the field, and taking the boundary limit. We then perform…

High Energy Physics - Theory · Physics 2024-04-30 David Berenstein , David Grabovsky , Ziyi Li

We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field $\phi$ in AdS$_3$. In this paper we study the propagator $\langle \phi \phi \rangle$. We show that many techniques from the study of…

High Energy Physics - Theory · Physics 2018-05-23 Hongbin Chen , A. Liam Fitzpatrick , Jared Kaplan , Daliang Li

We compute the conformal anomalies of boundary CFTs for scalar and fermionic fields propagating in AdS spacetime at one-loop. The coefficients are quantized, with values related to the mass-spectra for Kaluza-Klein compactifications of…

High Energy Physics - Theory · Physics 2009-10-31 Paul Mansfield , David Nolland

We study the complex scalar loop corrections to the boundary-boundary gauge two point function in pure AdS space in Poincare coordinates, in the presence of a boundary quadratic perturbation to the scalar. These perturbations correspond to…

High Energy Physics - Theory · Physics 2011-02-25 Ling-Yan Hung , Yanwen Shang

We initiate the study of Dyson equations of perturbative QFT in AdS and their consequences for large-N CFT. We show that the dressed one-particle AdS propagator features wavefunction renormalization and operator mixing, giving rise to…

High Energy Physics - Theory · Physics 2023-09-06 Sylvain Fichet

We discuss the flat space limit of AdS using the momentum space representation of CFT correlators. The flat space limit involves sending the AdS radius and the dimensions of operators dual to massive fields to infinity while also scaling…

High Energy Physics - Theory · Physics 2024-09-11 Raffaele Marotta , Kostas Skenderis , Mritunjay Verma

We revisit the quantization of a free scalar in 4-dimensional (4d) Lorentzian Anti-de-Sitter spacetime (AdS$_4$). We derive solutions to the wave equation that diagonalize time translations in a foliation of AdS$_4$ with null cones. We show…

High Energy Physics - Theory · Physics 2025-12-16 Núria Navarro , Ana-Maria Raclariu

We explore the eikonal approximation to graviton exchange in AdS_5 space, as relevant to scattering in gauge theories. We restrict ourselves to the regime where conformal invariance of the dual gauge theory holds, and to large 't Hooft…

High Energy Physics - Theory · Physics 2010-01-10 Richard C. Brower , Matthew J. Strassler , Chung-I Tan

Field theory in space-time with boundary has an interesting sub-sector, where propagator is difference of those with Neumann and Dirichlet boundary conditions. Such boundary-induced theory in the bulk is essentially holomorphic and is…

High Energy Physics - Theory · Physics 2010-02-03 D. Krotov , A. Morozov

We consider the propagation of both fully coherent and partially coherent complex scalar fields, through linear shift-invariant imaging systems. The state of such imaging systems is characterized by a countable infinity of aberration…

Optics · Physics 2018-02-28 David M. Paganin , Timothy C. Petersen , Mario A. Beltran

We revisit the reconstruction of a free quantum field in 4-dimensional Lorentzian Anti-de-Sitter (AdS$_4$) spacetime in terms of primary operators in the boundary 3d CFT (CFT$_3$). We show that the positive and negative energy subspaces of…

High Energy Physics - Theory · Physics 2026-05-19 Núria Navarro , Ana-Maria Raclariu

We study free scalar field theory on flat spacetime using a background independent (polymer) quantization procedure. Specifically we compute the propagator using a method that takes the energy spectrum and position matrix elements of the…

General Relativity and Quantum Cosmology · Physics 2011-03-24 Golam Mortuza Hossain , Viqar Husain , Sanjeev S. Seahra

We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering…

High Energy Physics - Theory · Physics 2021-04-28 António Antunes , Miguel S. Costa , Tobias Hansen , Aaditya Salgarkar , Sourav Sarkar

Physical consistency of quantum fields in anti-de Sitter space time requires that the space must be compactified by the inclusion of a boundary where appropriate conditions are imposed. An interpretation for the presence of this boundary is…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We study spinning particle/defect geometries in the context of AdS$_3$/CFT$_2$. These solutions lie below the BTZ threshold, and can be obtained from identifications of AdS$_3$. We construct the Feynman propagator by solving the bulk…

High Energy Physics - Theory · Physics 2025-01-28 Ziyi Li

We consider scalar QED with $N_f$ flavors in AdS$_D$. For $D<4$ the theory is strongly-coupled in the IR. We use the spin 1 spectral representation to compute and efficiently resum the bubble diagram in AdS, in order to obtain the exact…

High Energy Physics - Theory · Physics 2023-06-12 Ankur , Dean Carmi , Lorenzo Di Pietro

Parity-inverted anti-de Sitter space -- ``flipped AdS'' -- is studied through the accelerating boundary correspondence of a moving mirror trajectory. The particle production exhibits positive energy flux and a finite total energy (both…

High Energy Physics - Theory · Physics 2025-08-19 Michael R. R. Good , Eric V. Linder
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