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Related papers: Infra-red effects of Non-linear sigma model in de …

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We discuss general one and two-loops banana diagrams with arbitrary masses on the de Sitter spacetime by using direct methods of dS quantum field theory in the dimensional regularization approach. In the one-loop case we also compute the…

High Energy Physics - Theory · Physics 2024-03-21 Sergio L. Cacciatori , Henri Epstein , Ugo Moschella

We consider quantum motion on S3 perturbed by the trigonometric Scarf potential (Scarf I) with one internal quantized dimensionless parameter, l, the ordinary orbital angular momentum value, and another, continuous parameter, b, through…

Mathematical Physics · Physics 2014-02-19 A. Pallares-Rivera , F. de J. Rosales-Aldape , M. Kirchbach

We study the effect of gradual symmetry breaking in a non-integrable system on the level fluctuation statistics. We consider the case when the symmetry is represented by a quantum number that takes one of two possible values, so that the…

Chaotic Dynamics · Physics 2009-11-07 A. Abd El-Hady , A. Y. Abul-Magd , M. H. Simbel

Nonlinear perturbations of Friedmann-Lemaitre cosmologies with dust and a positive cosmological constant have recently attracted considerable attention. In this paper our first goal is to compare the evolution of the first and second order…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Claes Uggla , John Wainwright

We study inflationary models where the kinetic sector of the theory has a non-linearly realised symmetry which is broken by the inflationary potential. We distinguish between kinetic symmetries which non-linearly realise an internal or…

High Energy Physics - Theory · Physics 2018-07-04 Remko Klein , Diederik Roest , David Stefanyszyn

We calculate the beta function of non-linear sigma models with S^{D+1} and AdS_{D+1} target spaces in a 1/D expansion up to order 1/D^2 and to all orders in \alpha'. This beta function encodes partial information about the spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Georgios Michalogiorgakis , Steven S. Gubser

We consider the contraction of some non linear sigma models which appear in effective supergravity theories. In particular we consider the contractions of maximally symmetric spaces corresponding to N=1 and N=2 theories, as they appear in…

High Energy Physics - Theory · Physics 2009-11-11 L. Andrianopoli , S. Ferrara , M. A. Lledo , O. Macia

In this work, we compute the gravitational wave displacement and spin memory effects in de Sitter spacetime. Gravitational waves in asymptotically flat spacetimes are described by the Bondi-Sachs framework, where radiation at null infinity…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Anthi Voulgari Revof , Shubhanshu Tiwari

We analyze the model of a self-interacting $\phi^4_{\star}$ scalar field theory in Snyder-de Sitter space. After analytically computing the one-loop beta functions {in the small noncommutativity and curvature limit}, we solve numerically…

High Energy Physics - Theory · Physics 2021-04-01 Sebastián A. Franchino-Viñas , Salvatore Mignemi

We revisit the problem of spontaneous symmetry breaking (SSB), its restoration, and phase transition for a self interacting quantum scalar field in a general curved background, at zero and finite temperature. To the best of our knowledge,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Vishal Nath , Sourav Bhattacharya

We study the infrared behaviour of the two-dimensional Euclidean O(N) nonlinear sigma-Model with a suitable ultraviolet cutoff. It is proven that for a sufficiently large (but finite!) number N of field components the model is massive and…

Mathematical Physics · Physics 2009-10-31 Ch. Kopper

We have estimated higher order quantum gravity corrections to de~Sitter spacetime. Our results suggest that, while the classical spacetime metric may be distorted by the graviton self-interactions, the corrections are relatively weaker than…

General Relativity and Quantum Cosmology · Physics 2009-10-22 A. D. Dolgov , M. B. Einhorn , V. I. Zakharov

Theories of anti-commuting scalar fields are non-unitary, but they are of interest both in statistical mechanics and in studies of the higher spin de Sitter/Conformal Field Theory correspondence. We consider an $Sp(N)$ invariant theory of…

High Energy Physics - Theory · Physics 2015-06-18 Lin Fei , Simone Giombi , Igor R. Klebanov , Grigory Tarnopolsky

We present evidence that there is a non-trivial fixed point for the AdS_{D+1} non-linear sigma model in two dimensions, without any matter fields or additional couplings beyond the standard quadratic action subject to a quadratic…

High Energy Physics - Theory · Physics 2008-11-26 Joshua J. Friess , Steven S. Gubser

The two-point function for tensor metric perturbations around de Sitter spacetime including one-loop corrections from massless conformally coupled scalar fields is calculated exactly. We work in the Poincar\'e patch (with spatially flat…

General Relativity and Quantum Cosmology · Physics 2012-09-06 Markus B. Fröb , Albert Roura , Enric Verdaguer

We propose that de-Sitter space-time originates from Gaussian distribution in a quantum harmonic oscillator system. This equation associates with a massless Klein-Gordon equation. We discover that every excited states of quantum oscillator…

High Energy Physics - Theory · Physics 2015-10-01 Leihua Liu , Jiansen Zheng

We develop a general power counting scheme for the infrared limit of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions. Employing a skeleton expansion, we find that the infrared behavior is qualitatively independent of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Markus Q. Huber , Reinhard Alkofer , Christian S. Fischer , Kai Schwenzer

We analyze the computation of $n$-point correlation functions in de Sitter spacetime, including loop corrections, using the wavefunction of the universe approach. This method consists of two stages employing distinct Feynman rules. First,…

High Energy Physics - Theory · Physics 2025-03-26 Javier Huenupi , Ellie Hughes , Gonzalo A. Palma , Spyros Sypsas

Reduction in effective spacetime dimensionality can occur in field-theory models more general than the widely studied dimensional reductions based on technically consistent truncations. Situations where wavefunction factors depend…

High Energy Physics - Theory · Physics 2022-08-10 C. W. Erickson , Rahim Leung , K. S. Stelle

I argue against the widespread notion that manifest de Sitter invariance on the full de Sitter manifold is either useful or even attainable in gauge theories. Green's functions and propagators computed in a de Sitter invariant gauge are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. P. Woodard