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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

We compute the one loop self energy, in a locally de Sitter background, for a massless fermion which is Yukawa-coupled to a massless, minimally coupled scalar. We then solve the modified Dirac equation resulting from inclusion of the self…

Astrophysics · Physics 2009-11-10 T. Prokopec , R. P. Woodard

We compute the one loop self-mass of a charged massless, minimally coupled scalar in a locally de Sitter background geometry. The computation is done in two different gauges: the noninvariant generalization of Feynman gauge which gives the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 E. O. Kahya , R. P. Woodard

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, 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 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

The one-loop effective action for the scalar field part of a non-Abelian gauge theory based on a general gauge group of the form $G\times U(1)$, where the gauge group $G$ is arbitrary, is calculated. A complex scalar field, both Abelian and…

High Energy Physics - Theory · Physics 2019-06-07 David J. Toms

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of…

General Relativity and Quantum Cosmology · Physics 2021-06-02 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

We work in the locally de Sitter background of an inflating universe and consider a massless, minimally coupled scalar with a quartic self-interaction. We use dimensional regularization to compute the fully renormalized scalar…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Brunier , V. K. Onemli , R. P. Woodard

We use a simplified formalism to re-compute the single graviton loop contribution to the self-mass of a massless, conformally coupled scalar on de Sitter background which was originally made by Boran, Kahya and Park [1-3]. Our result…

General Relativity and Quantum Cosmology · Physics 2020-05-20 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

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

We discuss models with a massless fermion and a self-interacting massive scalar field with the Yukawa interaction. The chiral condensate and the fermion mass are calculated analytically. It is shown that the models have a phase transition…

High Energy Physics - Theory · Physics 2015-06-04 V. G. Ksenzov , A. I. Romanov

The $\rm SU(2)_L\otimes SU(2)_R$ symmetric Yukawa model with mirror-fermions in the limit where the mirror-fermion is decoupled is studied both analytically and numerically. The bare scalar self-coupling $\lambda$ is fixed at zero and…

High Energy Physics - Lattice · Physics 2010-12-23 L. Lin , G. Münster , M. Plagge , I. Montvay , H. Wittig , C. Frick , T. Trappenberg

A two-Higgs doublet model with a discrete $Z_3$ symmetry acquires, in its scalar and gauge sectors, an accidental continuous $U(1)$ symmetry. One therefore finds, after spontaneous symmetry breaking of those symmetries, that a massless…

High Energy Physics - Phenomenology · Physics 2025-06-24 P. M. Ferreira , Tomás F. Pinto

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 explore the classical and quantum properties of a sterile scalar field coupled to $N$ copies of Dirac fermions in an external gravitational field. We find that the self-interaction scalar potential of a model that is consistent at the…

Functional Renormalisation Group (FRG) equations are constructed for a simple Yukawa-model with discrete chiral symmetry, including also the effect of a nonzero composite fermion background beyond the conventional scalar condensate. The…

High Energy Physics - Theory · Physics 2016-12-15 A. Jakovac , I. Kaposvari , A. Patkos

We compute the one loop corrections from quantum gravity to the self-mass-squared of a massless, minimally coupled scalar on a locally de Sitter background. The calculation was done using dimensional regularization and renormalized by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , R. P. Woodard

Scalar bosons composed of a pair of chiral fermions in a non-confining potential have an effective Yukawa coupling, $g$, to free external chiral fermions. At large distance a Feynman loop of external fermions generates a scale invariant…

High Energy Physics - Phenomenology · Physics 2022-02-15 Christopher T. Hill

We consider a stochastic spectator scalar field coupled to fermion via the Yukawa interaction, in the inflationary de Sitter background. We consider the fermion to be massless, and take the one loop effective potential found earlier by…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Sourav Bhattacharya , Sudesh Kumar
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