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The evolution of correlations in the \emph{exactly} solvable Luttinger model (a model of interacting fermions in one dimension) after a sudden interaction switch-on is \emph{analytically} studied. When the model is defined on a finite-size…

Statistical Mechanics · Physics 2007-05-23 M. A. Cazalilla

A novel scalar field free approach to cosmic inflation is presented. The inflationary Universe and the radiation dominated Universe are shown, within the framework of unified brane cosmology, to be two different phases governed by one and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Aharon Davidson , Ilya Gurwich

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

High Energy Physics - Lattice · Physics 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui

Inflation is studied in the context of induced gravity (IG) $\gamma \sigma^2 R$, where $R$ is the Ricci scalar, $\sigma$ a scalar field and $\gamma$ a dimensionless constant, and diverse symmetry-breaking potentials $V(\sigma)$ are…

General Relativity and Quantum Cosmology · Physics 2014-11-21 A. Cerioni , F. Finelli , A. Tronconi , G. Venturi

We make use of classical lattice simulations in 3 + 1 dimensions to study the preheating stage of Higgs Inflation in Einstein-Cartan gravity. Focusing for concreteness on a simplified scenario involving the seminal Nieh-Yan term, we…

High Energy Physics - Phenomenology · Physics 2024-02-02 Matteo Piani , Javier Rubio

A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

Statistical Mechanics · Physics 2009-11-07 S. Lubeck , A. Hucht

A simple model for the reheating of the universe after inflation is studied in which an essentially inhomogeneous scalar field representing matter is coupled to an essentially homogeneous scalar inflaton field. Through this coupling, the…

High Energy Physics - Theory · Physics 2007-05-23 Eckhard Rebhan , Thorsten Battefeld

During preheating after inflation, parametric resonance rapidly generates very large fluctuations of scalar fields. In models where the inflaton field $\phi$ oscillates in a double-well potential and interacts with another scalar field $X$,…

High Energy Physics - Phenomenology · Physics 2009-09-29 S. Khlebnikov , L. Kofman , A. Linde , I. Tkachev

We study the thermal phase transitions of a generic real scalar field, without a $Z_2$-symmetry, referred to variously as an inert, sterile or singlet scalar, or $\phi^3+\phi^4$ theory. Such a scalar field arises in a wide range of models,…

High Energy Physics - Phenomenology · Physics 2021-04-13 Oliver Gould

Preheating at the end of inflation is a violent nonlinear process that efficiently transfers the energy of the inflaton to a second field, the preheat field. When the preheat field is light during inflation and its background value…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Zhiqi Huang , Xichang Ouyang , Yu Cui , Jianqi Liu , Yanhong Yao , Zehong Qiu , Guangyao Yu , Lu Huang , Zhuoyang Li , Chi-Fong Wong

A setting constituted by $\mathbb{N}$ 3-form fields, without any direct interaction between them, minimally coupled to gravity, is introduced in this paper as a framework to study the early evolution of the universe. We focus particularly…

General Relativity and Quantum Cosmology · Physics 2014-07-04 K. Sravan Kumar , J. Marto , Nelson J. Nunes , Paulo Vargas Moniz

We propose a non-oscillatory no-scale supergravity model of inflation (NO-NO inflation) in which the inflaton does not oscillate at the end of the inflationary era. Instead, the Universe is then dominated by the inflaton kinetic energy…

High Energy Physics - Phenomenology · Physics 2021-03-31 John Ellis , Dimitri V. Nanopoulos , Keith A. Olive , Sarunas Verner

We investigate the dynamics of the Standard Model higgs with a minimal coupling to gravity during and after inflation. In the regime where the Standard Model vacuum is stable, we find that the higgs becomes a light spectator field after…

High Energy Physics - Phenomenology · Physics 2013-11-05 Kari Enqvist , Tuukka Meriniemi , Sami Nurmi

Our understanding of the state of the universe between the end of inflation and big bang nucleosynthesis (BBN) is incomplete. The dynamics at the end of inflation are rich and a potential source of observational signatures. Reheating, the…

High Energy Physics - Phenomenology · Physics 2015-01-16 Mustafa A. Amin , Mark P. Hertzberg , David I. Kaiser , Johanna Karouby

We propose an inflationary scenario inspired by a recent formulation, in terms of coherent states, of non-commutative quantum field theory. We consider the semiclassical Einstein equations, and we exploit the ultraviolet finiteness of the…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Massimiliano Rinaldi

The process of reheating the universe after hybrid inflation is extremely violent. It proceeds through the nucleation and subsequent collision of large concentrations of energy density in bubble-like structures, which generate a significant…

Astrophysics · Physics 2008-11-26 Juan Garcia-Bellido , Daniel G. Figueroa

We study on the lattice the 3d SU(2)+Higgs model, which is an effective theory of a large class of 4d high temperature gauge theories. Using the exact constant physics curve, continuum ($V\to\infty, a\to 0$) results for the properties of…

High Energy Physics - Lattice · Physics 2009-10-28 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

Gravitationally coupled scalar fields $\phi $, distinguished by the choice of an effective self-interaction potential $V(\phi )$, simulating a temporarily non-vanishing cosmological term, can generate both inflation and late time…

General Relativity and Quantum Cosmology · Physics 2014-05-27 Tiberiu Harko , Francisco S. N. Lobo , M. K. Mak

This article examines the dynamic phase transitions and pattern formations attributed to binary systems modeled by the Cahn-Hilliard equation. In particular, we consider a two-dimensional lattice structure and determine how different…

Analysis of PDEs · Mathematics 2025-11-25 Jared Grossman , Evan Halloran , Shouhong Wang

We show that the non-linear evolution of long wavelength perturbations may be important in a wide class of inflationary scenarios. We develop a solution for the evolution of such nonlinear perturbations which is exact to first order in a…

General Relativity and Quantum Cosmology · Physics 2009-08-29 Niayesh Afshordi , Robert Brandenberger