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We consider massive \lambda\phi^4 theory in de Sitter background. The mass of the scalar field \phi is chosen small enough, such that the amplification of superhorizon momentum modes leads to a significant enhancement of infrared…

High Energy Physics - Theory · Physics 2014-03-12 Bjorn Garbrecht , Gerasimos Rigopoulos , Yi Zhu

We, in the first part, contemplate a massless minimally coupled scalar which is Yukawa-coupled to a massless Dirac fermion in a locally de Sitter background of an inflating spacetime. We compute the scalar's quantum corrected mode function,…

General Relativity and Quantum Cosmology · Physics 2015-10-09 V. K. Onemli

We provide a general formalism to calculate the infrared correlators of multiple interacting scalar fields in the de Sitter space by means of the stochastic approach. These scalar fields are treated as test fields and hence our result is…

High Energy Physics - Theory · Physics 2013-05-30 Hayato Motohashi , Teruaki Suyama , Jun'ichi Yokoyama

We develop a stochastic approach to a non de Sitter Universe in a gauge-invariant way and obtain a system of Langevin-type equations which may be considered to be renormalization group equations for the long wave parts of the scalar fields…

High Energy Physics - Theory · Physics 2008-02-03 Boris Spokoiny

In this paper we develop the formalism for the stochastic approach to inflation at all order in slow-roll parameters. This is done by including the momentum and Hamiltonian constraints into the stochastic equations. We then specialise to…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Diego Cruces , Cristiano Germani

Perturbative analyses seem to suggest that fermions whose mass comes solely from a Yukawa coupling to a scalar field can be made arbitrarily heavy, while the scalar remains light. The effects of the fermion can be summarized by a local…

High Energy Physics - Lattice · Physics 2011-04-20 T. Banks , A. Dabholkar

The stochastic effective theory approach, often called stochastic inflation, is widely used in cosmology to describe scalar field dynamics during inflation. The existing formulations are, however, more qualitative than quantitative because…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Archie Cable , Arttu Rajantie

Recently it has been shown that infrared singularities of Landau gauge QCD can confine static quarks via a linearly rising potential. We show that the same mechanism can also provide a confining interaction between charged scalar fields in…

High Energy Physics - Theory · Physics 2010-05-07 Leonard Fister , Reinhard Alkofer , Kai Schwenzer

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

High Energy Physics - Theory · Physics 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

The constrained filed system, the scalar field coupled to two flavours of fermions through Yukawa couplings, is treated by using the Hamilton-Jacobi approach. The equations of motion are obtained as total differential equations in many…

General Physics · Physics 2025-06-17 Walaa I. Eshraim

Motivated by apparent persistent large scale anomalies in the CMB we study the influence of fermionic degrees of freedom on the dynamics of inflaton fluctuations as a possible source of violations of (nearly) scale invariance on…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Daniel Boyanovsky

We compute an effective potential between two fixed sources in light-front quantization of a quenched scalar Yukawa theory that models the interaction of complex scalar fields through the exchange of a neutral scalar. Despite the breaking…

High Energy Physics - Phenomenology · Physics 2022-04-13 Sophia S Chabysheva , John R Hiller

We present new exact cosmological inhomogeneous solutions for gravity coupled to a scalar field in a general framework specified by the parameter $\lambda$. The equations of motion (and consequently the solutions) in this framework…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. E. Perez Bergliaffa , K. E. Hibberd

We explore two-point and four-point correlation functions of a massive scalar field on the flat de Sitter background in the long-wavelength approximation. By employing the Yang-Feldman-type equation, we compute the two-point correlation…

High Energy Physics - Theory · Physics 2025-04-18 Alexander Kamenshchik , Polina Petriakova

In this talk we present a numerical lattice study of an SU(3) gauge model where an SU(2) doublet of non-Abelian strongly interacting fermions is coupled to a complex scalar field doublet via a Yukawa and a Wilson-like term. The model enjoys…

I consider a theory of a real scalar and a fermion field, with a Yukawa interaction and a potential term that admits two degenerate minima at the tree level. The quantum vacuum energy difference between these two vacua can be calculated…

High Energy Physics - Theory · Physics 2018-08-08 Dimitrios Metaxas

In de Sitter space, scale invariant fluctuations give rise to infrared logarithmic corrections to physical quantities, which eventually spoil perturbation theories. For models without derivative interactions, it has been known that the…

High Energy Physics - Theory · Physics 2019-07-31 Hiroyuki Kitamoto

A model for the universe with tachyonic and fermionic fields interacting through a Yukawa-type potential is investigated. It is shown that the tachyonic field answers for the initial accelerated regime and for the subsequent decelerated…

General Relativity and Quantum Cosmology · Physics 2016-02-23 Marlos O. Ribas , Fernando P. Devecchi , Gilberto M. Kremer

We consider stochastic inflation in an interacting scalar field in spatially homogeneous accelerating space-times with a constant principal slow roll parameter $\epsilon$. We show that, if the scalar potential is scale invariant (which is…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Tomislav Prokopec

We study by numerical simulation a lattice Yukawa model with naive fermions at intermediate values of the Yukawa coupling $y$ when the nearest neighbour coupling $\kp$ of the scalar field $\Phi$ is very weakly ferromagnetic ($\kp \approx…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Asit K. De , Christoph Frick , Jiri Jersák , Thomas Trappenberg