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We consider light scalar fields during inflation and show how the stochastic spectral expansion method can be used to calculate two-point correlation functions of an arbitrary local function of the field in de Sitter space. In particular,…

General Relativity and Quantum Cosmology · Physics 2019-08-02 Tommi Markkanen , Arttu Rajantie , Stephen Stopyra , Tommi Tenkanen

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 have considered the Yukawa theory at two loop in the inflationary de Sitter spacetime, for a massless minimally coupled scalar and a massless fermion. The one loop computation for the same has been investigated in detail in the earlier…

High Energy Physics - Theory · Physics 2026-04-21 Sourav Bhattacharya , Moutushi Dutta Choudhury

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

We use the spectral representation of the stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with a symmetric or asymmetric double-well potential. The terms in the spectral…

General Relativity and Quantum Cosmology · Physics 2020-03-26 Tommi Markkanen , Arttu Rajantie

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 investigate an inflationary model wherein the Dirac field $\psi$ is directly coupled to a scalar inflaton $\phi$ via a Yukawa interaction $g\phi\bar\psi\psi$ and examine the resulting observational implications. Within the slow-roll…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Lin-Hong Sui , Dan Li , Jia-Ze Sun , Xi-Bin Li

We generalize Starobinskii's stochastic technique to the theory of a massless, minimally coupled scalar interacting with a massless fermion in a locally de Sitter geometry. The scalar is an ``active'' field that can engender infrared…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Shun-Pei Miao , R. P. Woodard

We consider a massless minimally coupled self interacting quantum scalar field coupled to fermion via the Yukawa interaction, in the inflationary de Sitter background. The fermion is also taken to be massless and the scalar potential is…

High Energy Physics - Theory · Physics 2024-01-03 Sourav Bhattacharya , Moutushi Dutta Choudhury

A novel inflection-point inflation model is analysed. The model considers a massless scalar field, whose self-coupling's running is stabilised by a non-renormalisable operator. The running is controlled by a fermion loop. We find that…

High Energy Physics - Phenomenology · Physics 2018-07-05 Konstantinos Dimopoulos , Charlotte Owen , Antonio Racioppi

We consider a scalar field theory with quartic self interaction, Yukawa coupled to fermions in the inflationary de Sitter spacetime background. The scalar has a classical background plus quantum fluctuations, whereas the fermions are taken…

High Energy Physics - Theory · Physics 2025-10-31 Sourav Bhattacharya , Kinsuk Roy

We compute the one loop self-mass-squared of a massless, minimally coupled scalar which is Yukawa-coupled to a massless Dirac fermion in a general conformally flat background. Dimensional regularization is employed and a fully renormalized…

High Energy Physics - Phenomenology · Physics 2009-11-11 L. D. Duffy , R. P. Woodard

We accurately approximate the contribution of a Yukawa-coupled fermion to the inflaton effective potential for inflationary geometries with a general first slow roll parameter $\epsilon(t)$. For $\epsilon = 0$ our final result agrees with…

General Relativity and Quantum Cosmology · Physics 2021-06-30 A. Sivasankaran , R. P. Woodard

We study the multifield inflationary models where the cosmological perturbation is sourced by light scalar fields other than the inflaton. The corresponding perturbations are both scale invariant and special conformally invariant. We…

High Energy Physics - Theory · Physics 2015-06-05 A. Kehagias , A. Riotto

We extend the framework of spontaneous baryogenesis by investigating the generation of baryon asymmetry when the inflaton, $\theta$, is minimally coupled with a complex spectator scalar field $\phi$, as $\theta^2|\phi|^2$. To do so, we also…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Mattia Dubbini , Orlando Luongo , Marco Muccino

If the inflaton couples to other degrees of freedom that populate the post-inflationary stage, such coupling modifies the dynamics of the inflaton \emph{during} inflation. We consider light fermions Yukawa coupled to the inflaton as…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Daniel Boyanovsky

The decoherence mechanism is believed to be possibly connected to the quantum to classical transition of the primordial cosmological perturbations in the early universe. In this paper, we extend our previous analysis on decoherence in a…

High Energy Physics - Theory · Physics 2024-03-06 Sourav Bhattacharya , Nitin Joshi

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

We study the one-loop radiative corrections for massless fermions in de Sitter space induced by a Yukawa coupling to a light, nearly minimally coupled scalar field. We show that the fermions acquire a mass. Next we construct the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Bjorn Garbrecht , Tomislav Prokopec

We elaborate on the functional integral describing the stochastic dynamics of a spectator field during inflation, comparing its diagrammatic expansion to that obtained directly from a perturbative solution of the corresponding Langevin…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Marios Bounakis , Gerasimos Rigopoulos
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