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In $D$ dimensional de Sitter space, a scalar field has an infinite tower of special tachyonic mass values at which enhanced shift symmetries appear. After modding out by these shift symmetries, these fields correspond to the unitary…

High Energy Physics - Theory · Physics 2025-05-07 Kara Farnsworth , Kurt Hinterbichler , Samanta Saha

We continue a previous study about the infrared loop effects in the $D$-dimensional de Sitter space for a real scalar $\phi^4$ theory from the complementary series whose bare mass belongs to the interval $\frac{\sqrt{3}}{4}\,…

High Energy Physics - Theory · Physics 2017-07-12 E. T. Akhmedov , U. Moschella , K. E. Pavlenko , F. K. Popov

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

Perturbative quantum field theory (QFT) calculations in de Sitter space are riddled with contributions that diverge over time. These contributions often arise from loop integrals, which are notoriously hard to compute in de Sitter. We…

High Energy Physics - Theory · Physics 2024-02-05 Akhil Premkumar

We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a $\phi^4$ field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments…

High Energy Physics - Theory · Physics 2020-05-20 Emil T. Akhmedov , Ugo Moschella , Fedor K. Popov

We revisit the principal arguments for interpreting the free quantum fields on anti-de Sitter or de Sitter spacetimes of any dimensions as oscillators or respectively anti-oscillators. In addition, we point out that there exists a chart on…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Ion I. Cotaescu

We compute 1-loop corrections to Lorentz-signature de Sitter-invariant 2-point functions defined by the interacting Euclidean vacuum for massive scalar quantum fields with cubic and quartic interactions. Our results apply to all masses for…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Donald Marolf , Ian A. Morrison

We consider graviton scattering in maximal supergravity on Anti-de Sitter space (AdS) in $d+1$ dimensions for $d=3,4,\text{and $6$}$ with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally…

High Energy Physics - Theory · Physics 2022-11-30 Luis F. Alday , Shai M. Chester

We analyze the pattern of fields in d+1 dimensional anti-de Sitter space in terms of those in d dimensional anti-de Sitter space. The procedure, which is neither dimensional reduction nor dimensional compactification, is called dimensional…

High Energy Physics - Theory · Physics 2009-09-02 A. Yu. Artsukevich , M. A. Vasiliev

In a recent paper [J. P. M. Pitelli, Phys. Rev. D {\bf 99}, 108701 (2019)], one of us showed that the vacuum state associated to conformal fields on a Poicar\'e patch of anti-de Sitter spacetime is not $\text{AdS}$ invariant for fields…

General Relativity and Quantum Cosmology · Physics 2019-10-02 J. P. M. Pitelli , Vitor S. Barroso

We calculate the one-loop contributions to the polarization operator for scalar quantum electrodynamics in different external electromagnetic and gravitational fields. In the case of gravity, de-Sitter space and its different patches were…

High Energy Physics - Theory · Physics 2018-07-04 Fedor K. Popov

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

Following arXiv:1501.03019 [hep-th], we study de Sitter space and spherical subregions on a constant boundary Euclidean time slice of the future boundary in the Poincare slicing. We show that as in that case, complex extremal surfaces exist…

High Energy Physics - Theory · Physics 2015-12-23 K. Narayan

Gravitational collapse in asymptotically anti-de Sitter spacetime has a rich but poorly-understood structure. There are strong indications that some families of initial data form "bound" states, which are regular everywhere, while other…

General Relativity and Quantum Cosmology · Physics 2015-05-04 Hirotada Okawa , Jorge C. Lopes , Vitor Cardoso

The two-point function of a free massive scalar field on a fixed background can be evaluated in the large mass limit by using a semiclassical geodesic approximation. In de Sitter space, however, this poses a puzzle. Certain spacelike…

High Energy Physics - Theory · Physics 2023-03-22 Shira Chapman , Damián A. Galante , Eleanor Harris , Sameer U. Sheorey , David Vegh

Using the AdS/CFT correspondence, we show that the Anti-de Sitter (AdS) rotating (Kerr) black holes in five and seven dimensions provide us with examples of non-trivial field theories which are scale, but not conformally invariant. This is…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We calculate the leading-order scattering for a conformally massless…

High Energy Physics - Theory · Physics 2021-03-31 Emil Albrychiewicz , Yasha Neiman

By using the approach of non-commutative geometry, we study spinors and scalars on the two layers AdS$_{d+1}$ space. We have found that in the boundary of two layers AdS$_{d+1}$ space, by using the AdS/CFT correspondence, we have a…

High Energy Physics - Theory · Physics 2009-10-31 K. Kaviani , A. M. Ghezelbash

We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the…

High Energy Physics - Theory · Physics 2009-11-07 Hassan Firouzjahi , Frederic Leblond

We examine long-wavelength correlation functions of massive scalar fields in de Sitter spacetime. For the theory with a quartic self-interaction, the two-point function is calculated up to two loops. Comparing our results with the…

General Relativity and Quantum Cosmology · Physics 2022-04-25 Alexander Yu. Kamenshchik , Alexei A. Starobinsky , Tereza Vardanyan