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The $\zeta$ function of a massive scalar field near a cosmic string is computed and then employed to find the vacuum fluctuation of the field. The vacuum expectation value of the energy-momentum tensor is also computed using a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Devis Iellici

Exact wave solutions for particles with spin 0, 1/2 and 1 in the static coordinates of the de Sitter space-time model are examined in detail. Firstly, for a scalar particle, two pairs of linearly independent solutions are specified…

High Energy Physics - Theory · Physics 2012-01-24 V. M. Red'kov , E. M. Ovsiyuk

We discuss the relation between bulk de Sitter three-dimensional spacetime and the corresponding conformal field theory at the boundary, in the framework of the exact quasinormal mode spectrum. We show that the quasinormal mode spectrum…

High Energy Physics - Theory · Physics 2009-12-17 Elcio Abdalla , Bin Wang , A. Lima-Santos , W. G. Qiu

We study the partition function of the free Sp(N) conformal field theory recently conjectured to be dual to asymptotically de Sitter higher-spin gravity in four-dimensions. We compute the partition function of this CFT on a round sphere as…

High Energy Physics - Theory · Physics 2013-11-13 Dionysios Anninos , Frederik Denef , Daniel Harlow

In the in-/out-state formalism we find the exact one-loop effective action of a massive scalar field in the global coordinates of de Sitter spaces, which is a gravity analog of the Heisenberg-Euler action in QED. The nonperturbative…

High Energy Physics - Theory · Physics 2010-08-04 Sang Pyo Kim

A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is considered. This allows us to construct the quantized scalar…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

We study quantum field theory on a de Sitter spacetime dS$_{d+1}$ background. Our main tool is the Hilbert space decomposition in irreducible unitary representations of its isometry group $SO(d+1,1)$. As the first application of the Hilbert…

High Energy Physics - Theory · Physics 2022-11-07 Matthijs Hogervorst , João Penedones , Kamran Salehi Vaziri

We study the holographic complexity in de Sitter spacetime, especially how the hyperfast growth of holographic complexity in de Sitter spacetime is affected under a small and early perturbation. The perturbed geometry is de Sitter spacetime…

High Energy Physics - Theory · Physics 2023-08-21 Takanori Anegawa , Norihiro Iizuka

We introduce a second-order stochastic effective theory for light scalar fields in de Sitter spacetime, extending the validity of the stochastic approach beyond the massless limit and demonstrating how it can be used to compute…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Archie Cable , Arttu Rajantie

The radial Wheeler--De Witt equation on the asymptotically AdS spacetime proposed in [9] has as its semiclassical solution the wave function that asymptotically satisfies the conformal Ward identity, exemplifying the AdS/CFT correspondence.…

High Energy Physics - Theory · Physics 2015-06-16 Francesco Cianfrani , Jerzy Kowalski-Glikman

We study the behaviour of a light quartically self-interacting scalar field $\phi$ on curved backgrounds that may be described with the cosmological equation state parameter $w$. At leading order in the non-perturbative 2PI expansion we…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Tommi Markkanen

Conformal symmetry can be spontaneously broken due to the presence of a defect or other background, which gives a symmetry-breaking vacuum expectation value (VEV) to some scalar operators. We study the effective field theory of fluctuations…

High Energy Physics - Theory · Physics 2023-04-05 Kurt Hinterbichler , Qiuyue Liang , Mark Trodden

In this letter the nontopological scalar solitons with a self-interaction potential are investigated in a static de Sitter spacetime and their field equations are derived. In particular, with series expansion we prove analytically the…

High Energy Physics - Theory · Physics 2010-04-30 Hongbo Cheng , Zhengyan Gu

A correspondence between closed strings in their high-temperature Hagedorn phase and asymptotically de Sitter (dS) space is established. We identify a thermal, conformal field theory (CFT) whose partition function is, on the one hand, equal…

High Energy Physics - Theory · Physics 2020-10-14 Ram Brustein , A. J. M. Medved

We show the evolution of non-spherically symmetric balls of a self-gravitating scalar field in the Newtonian regime or equivalently an ideal self-gravitating condensed Bose gas. In order to do so, we use a finite differencing approximation…

Astrophysics · Physics 2009-11-11 Argelia Bernal , F. Siddhartha Guzman

The self-similarity in space and time (hereafter self-similarity), either deterministic or statistical, is characterized by similarity exponents and a function of scaled variable, called the scaling function. In the present paper, we…

Analysis of PDEs · Mathematics 2020-01-15 Ken Sekimoto , Takahiko Fujita

We consider a quantum scalar field in a classical (Euclidean) De Sitter background, whose radius is fixed dynamically by Einstein's equations. In the case of a free scalar, it has been shown by Becker and Reuter that if one regulates the…

High Energy Physics - Theory · Physics 2024-09-25 Renata Ferrero , Roberto Percacci

de Sitter symmetry on quantum level implies that operators describing a given system satisfy commutation relations of the de Sitter algebra. This approach gives a new perspective on fundamental notions of quantum theory. We discuss…

High Energy Physics - Theory · Physics 2012-04-04 Felix M. Lev

We consider the stochastic quantization method for scalar fields defined in a curved manifold. The two-point function associated to a massive self-interacting scalar field is evaluated, up to the first order level in the coupling constant…

High Energy Physics - Theory · Physics 2009-03-20 T. C. de Aguiar , G. Menezes , N. F. Svaiter

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of…

General Relativity and Quantum Cosmology · Physics 2021-06-02 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard