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We describe extended theories which shares the gauge transformation symmetry of the T-models, and takes the T-models as well as Starobinsky model as special cases. We derive a general relation between the two slow-roll parameters, and find…

High Energy Physics - Theory · Physics 2014-10-03 Yi-Fu Cai , Jinn-Ouk Gong , Shi Pi

As is well known there are many different inflationary models that can explain the accelerated expansion occurred in the early Universe. It is possible that there exists a fundamental property of this period that could provide the…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Giandomenico Palumbo

With a scalar field non-minimally coupled to curvature, the underlying geometry and variational principle of gravity - metric or Palatini - becomes important and makes a difference, as the field dynamics and observational predictions…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Laur Järv , Alexandros Karam , Aleksander Kozak , Angelos Lykkas , Antonio Racioppi , Margus Saal

A new family of inflationary models is introduced and analysed. The behaviour of the parameters characterising the models suggest preferred values, which generate the most interesting testable predictions. Results are further improved if…

High Energy Physics - Phenomenology · Physics 2016-09-20 Konstantinos Dimopoulos , Charlotte Owen

In the recent times of global Covid pandemic, the Federal Reserve has raised the concerns of upsurges in prices. Given the complexity of interaction between inflation and inequality, we examine whether the impact of inflation on inequality…

General Economics · Economics 2022-02-14 Edmond Berisha , Ram Sewak Dubey , Orkideh Gharehgozli

Taking field theory seriously, inflation model-building is difficult but not impossible. The observed value of the spectral index of the adiabatic density perturbation is starting to discriminate between models, and may well pick out a…

High Energy Physics - Phenomenology · Physics 2009-10-31 David H Lyth

We explore the possibility of obtaining inflation in weakly coupled heterotic string theory, where the model dependent axions are responsible for driving inflation. This model can be considered as a certain extrapolation of…

High Energy Physics - Theory · Physics 2010-10-27 Martin E. Olsson

We study the classic hybrid inflation model in its original and modified forms and show the shape of the inflationary potentials and analyze the amount of primordial gravitational waves each model predicts. We compare the resulting EE-mode…

General Relativity and Quantum Cosmology · Physics 2021-09-01 N. Malsawmtluangi

We propose a model for the joint evolution of European inflation, the European Central Bank official interest rate and the short-term interest rate, in a stochastic, continuous time setting. We derive the valuation equation for a contingent…

Mathematical Finance · Quantitative Finance 2019-11-04 Flavia Antonacci , Cristina Costantini , Fernanda D'Ippoliti , Marco Papi

Inflation is a highly favoured theory for the early Universe. It is compatible with current observations of the cosmic microwave background and large scale structure and is a driver in the quest to detect primordial gravitational waves. It…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-19 Tomás Sousa , Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

We propose to describe the acceleration of the universe by introducing a model of two coupled fluids. We focus on the accelerated expansion at the early stages. The inflationary expansion is described in terms of a van der Waals equation of…

General Relativity and Quantum Cosmology · Physics 2018-05-28 I. Brevik , V. V. Obukhov , A. V. Timoshkin

In this paper we consider the cosmological inflation within scalar-tensor gravity and compare it with standard inflation based on general relativity. The difference is determined by the value of the parameter $\Delta$. This approach is…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Igor Fomin , Sergey Chervon

While inflation gives an appealing explanation of observed cosmological data, there are a wide range of different inflation models, providing differing predictions for the initial perturbations. Typically models are motivated either by…

Astrophysics · Physics 2009-11-10 Erandy Ramirez , Andrew R Liddle

I discuss the interplay between inflation and microwave background anisotropies, stressing in particular the accuracy with which inflation predictions need to be made, and the importance of inflation as an underlying paradigm for…

Astrophysics · Physics 2007-05-23 Andrew R Liddle

Bayesian clinical trials can benefit of available historical information through the elicitation of informative prior distributions. Concerns are however often raised about the potential for prior-data conflict and the impact of Bayes test…

Methodology · Statistics 2022-12-01 Silvia Calderazzo , Annette Kopp-Schneider

We derive exact and closed-form expressions for a large class of two-point and three-point inflation correlators with the tree-level exchange of a single massive particle. The intermediate massive particle is allowed to have arbitrary mass,…

High Energy Physics - Theory · Physics 2023-07-26 Zhehan Qin , Zhong-Zhi Xianyu

It is shown that a large class of higher-order (i.e. non-quadratic) scalar kinetic terms can, without the help of potential terms, drive an inflationary evolution starting from rather generic initial conditions. In many models, this…

High Energy Physics - Theory · Physics 2008-11-26 C. Armendariz-Picon , T. Damour , V. Mukhanov

We examine the hypothesis that inflation is primarily driven by vacuum energy at a scale indicated by gauge coupling unification. Concretely, we consider a class of hybrid inflation models wherein the vacuum energy associated with a grand…

High Energy Physics - Phenomenology · Physics 2017-03-28 Mark P. Hertzberg , Frank Wilczek

Recently there have been differing viewpoints on how to evaluate the curvature power spectrum generated during inflation. Since the primordial curvature power spectrum is the seed for structure formation and provides a link between…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-06 Mar Bastero-Gil , Arjun Berera , Namit Mahajan , Raghavan Rangarajan

We discuss the possibility of unifying dark matter physics and inflation in the $Z_5$ model of the two-component dark matter. Inflation driven by the two-component dark matter fields can be divided into two cases, singlet dark matter…

High Energy Physics - Phenomenology · Physics 2023-05-29 XinXin Qi , Hao Sun