arXiv subjects

Damir Sadekov

Publications and source records attributed to Damir Sadekov.

4 recordsLinked to original sources

arXiv2026

Solutions in Liouville theory on dS and AdS backgrounds

We find exact solutions of a Liouville-type scalar field theory on $D$-dimensional de Sitter and anti-de Sitter backgrounds, treating the geometry as nondynamical. Using the embedding-space formalism with an auxiliary null vector, we derive first-order (B\"acklund-like) equations whose integrability yields the solution of the Liouville equation for the scalar field. This method produces two classes of analytic solutions, whose physical properties are different for de Sitter and anti-de Sitter spacetimes.

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arXiv2025

Global quenches and correlator dynamics in de Sitter space

We study non-equilibrium initial states of quantum fields in curved space-time and develop a framework for describing global quenches as unitary perturbations of the initial density matrix. Using the Keldysh-Schwinger functional integral, we derive expressions for post-quench correlators in arbitrary geometries and apply the method to both Minkowski and de Sitter backgrounds. In flat space, the approach reproduces the known relaxation behaviour for massive fields and reveals qualitatively distinct dynamics in the massless case. In de Sitter space, we find that the late-time decay of quench-induced corrections depends sensitively on the mass and may influence the behaviour of cosmological observables such as the power spectrum. The framework also extends straightforwardly to non-Gaussian initial states, providing a basis for future studies of loop effects and primordial non-Gaussianities.

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arXiv2023

Effective graviton mass in de Sitter space

We calculate the effective mass of gravitational perturbations induced by the interaction of the classical gravitational field with quantum matter in the background of the Poincaré patch of de Sitter space. Using the Schwinger-Keldysh diagrammatic technique, the one-loop effective action is calculated and it is shown that the graviton does not acquire mass for the most symmetric Bunch-Davies state. However, we have shown that even in this case, there is a nontrivial modification of the theory at one loop in the scalar sector of gravity.

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arXiv2021

On generalization of 2d gravity with the simplest non-invariant states

Two-dimensional quantum gravity has led to numerous curious results since it was developed in the 1980s. Following the method of the original works, we derive the effective action for the simplest modifications of the theory, when the matter is immersed into Poincaré non-invariant states. The latter ones, as it has been shown recently, may have a considerable response in the theories with gravity, and the 2d Universe is a basic example to start with the deep investigation of these phenomena. We consider the cases of the insertion of the primary state of CFT and the thermal distribution of conformal matter.

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