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The interaction of massless minimally coupled scalar field and spinor field $ \left( \Psi + \Phi_m \rightarrow \Psi + \Phi_m \right) $ is investigated and the behavior of interaction and scattering matrix in Minkowski limit is studied. It…

General Relativity and Quantum Cosmology · Physics 2021-04-08 Y. Ahmadi

We investigate the massless $\lambda \phi^4$ theory in de~Sitter space. It is unnatural to assume a minimally coupled interacting scalar field, since $\xi=0$ is not a fixed point of the renormalization group once interactions are included.…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Ganesh Devaraj , Martin B. Einhorn

The behaviour of a massive, non-interacting and non-minimally coupled quantised scalar field in an expanding de Sitter background is investigated by solving the field evolution for an arbitrary initial state. In this approach there is no…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Tommi Markkanen , Arttu Rajantie

We set up a consistent renormalizable perturbation theory of a scalar field in a nontrivial alpha vacuum in de Sitter space. Although one representation of the effective action involves non-local interactions between anti-podal points, we…

High Energy Physics - Theory · Physics 2010-04-05 Kevin Goldstein , David A. Lowe

Behaviour of a weekly self-interacting scalar field with a small mass in the de Sitter background is investigated using the stochastic approach (including the case of a double-well interaction potential). Existence of the de Sitter…

Astrophysics · Physics 2010-04-06 Alexei A. Starobinsky , Jun'ichi Yokoyama

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special…

High Energy Physics - Theory · Physics 2018-01-03 E. T. Akhmedov

We prove small data energy estimates of all orders of differentiability between past null infinity and future null infinity of de Sitter space for the conformally invariant Maxwell-scalar field system. This allows us to construct bounded…

Analysis of PDEs · Mathematics 2025-07-17 Grigalius Taujanskas

We study the relation between two sets of correlators in interacting quantum field theory on de Sitter space. The first are correlators computed using in-in perturbation theory in the expanding cosmological patch of de Sitter space (also…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Atsushi Higuchi , Donald Marolf , Ian A. Morrison

Massless interacting scalar fields in de Sitter space have long been known to experience large fluctuations over length scales larger than Hubble distances. A similar situation arises in condensed matter physics in the vicinity of a…

High Energy Physics - Theory · Physics 2011-05-19 C. P. Burgess , R. Holman , L. Leblond , S. Shandera

We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit…

Mathematical Physics · Physics 2015-06-26 Marco Bertola , Francesco Corbetta , Ugo Moschella

The scalar particle production from vacuum in the presence of electric field, on the de Sitter spacetime is studied. We use perturbation methods to define the transition amplitude. We obtain that the momentum is not conserved in this…

High Energy Physics - Theory · Physics 2014-08-29 Băloi Mihaela-Andreea

The theory of the free Maxwell field in two moving frames on the de Sitter spacetime is investigated pointing out that the conserved momentum and energy operators do not commute to each other. This leads us to consider new plane waves…

General Relativity and Quantum Cosmology · Physics 2011-03-15 Ion I. Cotaescu , Cosmin Crucean

In this paper, we study the correspondence between a field theory in de Sitter space in $D$-dimensions and a dual conformal field theory in a euclidean space in $(D-1)$-dimensions. In particular, we investigate the form in which this…

General Relativity and Quantum Cosmology · Physics 2019-12-16 Juan P. Beltrán Almeida , Josué Motoa-Manzano , César A. Valenzuela-Toledo

We examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\ast}^{2}\leq m^{2}<m_{\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and…

High Energy Physics - Theory · Physics 2008-11-26 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

In this work, considering the background dynamics of flat Friedmann-Lemaitre-Robertson-Walker(FLRW) model of the universe, we investigate a scalar field model as dark energy candidate which interacting with the pressure-less dust as dark…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Goutam Mandal , Soumya Chakraborty , Sudip Mishra , Sujay Kr. Biswas

We discuss interacting quantum field theory in de Sitter space and argue that the Mottola-Allen vacuum ambiguity is an artifact of free field theory. The nature of the nonthermality of the MA-vacua is also clarified. We propose analyticity…

High Energy Physics - Theory · Physics 2009-11-07 Martin B. Einhorn , Finn Larsen

We study the dynamics of scalar fields with compact field spaces, or axions, in de Sitter space. We argue that the field space topology can qualitatively affect the physics of these fields beyond just which terms are allowed in their…

High Energy Physics - Theory · Physics 2023-11-16 Priyesh Chakraborty , John Stout

The scalar-spinor interaction Lagrangian is presented by the Yukawa potential. In dS ambient space formalism, the interaction Lagrangian of scalar-spinor fields was obtained from a new transformation which is very similar to the guage…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Y. Ahmadi

We study the nonlinear evolution of the spherical symmetric black holes under a small neutral scalar field perturbation in Einstein-Maxwell-dilaton theory with coupling function $f(\phi)=e^{-b\phi}$ in asymptotic anti-de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Cheng-Yong Zhang , Peng Liu , Yunqi Liu , Chao Niu , Bin Wang

We examine the behavior of correlation functions for a massless scalar field in de Sitter space with a quartic interaction. We find that two-loop corrections are relevant, and that the resummation of these corrections generates a…

High Energy Physics - Theory · Physics 2015-09-30 Arvind Rajaraman
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