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The aim of this work is to investigate the occurrence of two different spontaneous symmetry breakings {at} two levels of the description of fermion-scalar field model, by means of a set of gap equations and {with} a background field…

High Energy Physics - Theory · Physics 2022-06-29 A. A. Nogueira , F. L. Braghin

We consider an infrared truncated massless minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point correlation function of the scalar at one and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 V. K. Onemli

The inflaton equation of motion including one loop radiative corrections from spectator fields is obtained. We consider a massless scalar conformally coupled to gravity and a massless fermion Yukawa coupled to the inflaton as models for…

High Energy Physics - Phenomenology · Physics 2026-04-07 Daniel Boyanovsky

The massless minimally coupled scalar field in de Sitter ambient space formalism might play a similar role to what the Higgs scalar field accomplishes within the electroweak standard model. With the introduction of a "local transformation"…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Jean Pierre Gazeau , Mohammad Vahid Takook

It is proved that the class of stable interatomic potentials admits an exact representation in the form of a finite or infinite superposition of Yukawa potentials. An auxiliary scalar field is introduced to describe the dynamics of a system…

Statistical Mechanics · Physics 2022-02-01 A. Yu. Zakharov , V. V. Zubkov

We study the multiple solutions of the truncated propagator Dyson-Schwinger equation for a simple fermion theory with Yukawa coupling to a scalar field. Upon increasing the coupling constant $g$, other parameters being fixed, more than one…

High Energy Physics - Phenomenology · Physics 2008-11-26 Felipe J. Llanes-Estrada , Tim Van Cauteren , Angel Paramo Martin

Nonequilibrium instabilities are known to lead to exponential amplification of boson occupation numbers for low momentum modes on time scales much shorter than the asymptotic thermal equilibration time. We show for Yukawa-type interactions…

High Energy Physics - Phenomenology · Physics 2009-09-02 J. Berges , J. Pruschke , A. Rothkopf

We extend the adiabatic regularization method for an expanding universe to include the Yukawa interaction between quantized Dirac fermions and a homogeneous background scalar field. We give explicit expressions for the renormalized…

General Relativity and Quantum Cosmology · Physics 2017-05-24 A. del Rio , A. Ferreiro , J. Navarro-Salas , F. Torrenti

We study the triviality and hierarchy problem of a Z_2-invariant Yukawa system with massless fermions and a real scalar field, serving as a toy model for the standard-model Higgs sector. Using the functional RG, we look for UV stable fixed…

High Energy Physics - Theory · Physics 2014-11-18 Holger Gies , Michael M. Scherer

A system of Schwinger-Dyson equations for pseudoscalar four-dimensional Yukawa model in the two-particle approximation is investigated. The simplest iterative solution of the system corresponds to the mean-field approximation (or,…

High Energy Physics - Theory · Physics 2015-06-03 V. E. Rochev

We consider here the dynamics of some homogeneous and isotropic cosmological models with $N$ interacting classical scalar fields non-minimally coupled to the spacetime curvature, as an attempt to generalize some recent results obtained for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Brenig , A. Figueiredo , E. Gunzig , T. M. Rocha Filho , Alberto Saa

We consider the perturbative treatment of the minimally coupled, massless, self-interacting scalar field in Euclidean de Sitter space. Generalizing work of Rajaraman, we obtain the dynamical mass m^2 \propto sqrt{lambda} H^2 of the scalar…

High Energy Physics - Theory · Physics 2015-06-12 M. Beneke , P. Moch

We argue that an interacting scalar-fermion distribution can be used to demonstrate the cosmic acceleration in General Relativity. The interaction is of Yukawa nature and it drives the fermion density to decay with cosmic time. The…

General Relativity and Quantum Cosmology · Physics 2022-05-02 Soumya Chakrabarti , Amitabha Lahiri

We study the Yukawa model with one scalar and one axial scalar fields, coupled to $N$ copies of Dirac fermions, in curved spacetime background. The theory possesses a reach set of coupling constants, including the scalar terms with odd…

High Energy Physics - Theory · Physics 2019-10-15 Iosif L. Buchbinder , Andreza Rairis Rodrigues , Eduardo Antonio dos Reis , Ilya L. Shapiro

We consider the production, at future lepton colliders, of final fermion, sfermion, scalar pairs in SUSY models. For third family fermions and sfermions and for charged Higgses, the leading Yukawa effect at one loop for large c.m. energies…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Beccaria , F. M. Renard , C. Verzegnassi

We discuss the effective infrared theory governing a light scalar's long wavelength dynamics in de Sitter spacetime. We show how the separation of scales around the physical curvature radius $k/a \sim H$ can be performed consistently with a…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Ian Moss , Gerasimos Rigopoulos

Inflationary expansion of space-time provides us with an efficient particle production mechanism in the Early Universe. The fermion production efficiency depends critically on the particle mass, which is generated via the Yukawa coupling…

High Energy Physics - Phenomenology · Physics 2026-01-28 Duarte Feiteira , Fotis Koutroulis , Oleg Lebedev , Stefan Pokorski

We stochastically formulate the theory of scalar quantum electrodynamics on a de Sitter background. This reproduces the leading infrared logarithms at each loop order. It also allows one to sum the series of leading infrared logarithms to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Prokopec , N. C. Tsamis , R. P. Woodard

We apply Starobinsky's formalism of stochastic inflation to the case of a minimally coupled scalar field with linear self-interaction potential. We solve the corresponding Fokker-Planck equation exactly, and obtain analytical expressions…

General Relativity and Quantum Cosmology · Physics 2017-10-10 Grigoris Panotopoulos

The formalism of stochastic inflation is a powerful tool for analyzing the backreaction of cosmological perturbations, and making precise predictions for inflationary observables. We demonstrate this with the simple $m^2\phi^2$ model of…

High Energy Physics - Theory · Physics 2015-09-02 Laurence Perreault Levasseur , Evan McDonough
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