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We consider a massless and minimally coupled self interacting quantum scalar field in the inflationary de Sitter spacetime. The scalar potential is taken to be a hybrid, $V(\phi)= \lambda \phi^4/4!+\beta \phi^3/3!$ ($\lambda >0$). Compared…

High Energy Physics - Theory · Physics 2024-08-19 Sourav Bhattacharya , Nitin Joshi , Kinsuk Roy

We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field $B^\alpha$…

High Energy Physics - Theory · Physics 2022-09-28 M. V. Takook

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

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 examine anti-de Sitter gravity minimally coupled to a self-interacting scalar field in $D\geq 4$ dimensions when the mass of the scalar field is in the range $m_{\ast}^{2}\leq m^{2}<m_{\ast} ^{2}+l^{-2}$. Here, $l$ is the AdS radius, and…

High Energy Physics - Theory · Physics 2008-11-26 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We compute the 1-loop contribution to the graviton self-energy from a loop of massless fermions on a general cosmological background. The result is used to quantum-correct the linearized Einstein equation on de Sitter background and work…

General Relativity and Quantum Cosmology · Physics 2025-01-07 A. J. Foraci , R. P. Woodard

We study a system of fermions interacting with a scalar field, in 4+1 dimensions where the 5th dimension is compactified, using an exact functional method, where quantum fluctuations are controlled by the amplitude of the bare fermion mass.…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jean Alexandre , Konstantinos Farakos

We have computed Wilsonian effective action in a simple model containing scalar field with quartic self-coupling which interacts via Yukawa coupling with a Dirac fermion. The model is invariant under a chiral parity operation, which can be…

High Energy Physics - Phenomenology · Physics 2015-10-09 Tomasz Krajewski , Zygmunt Lalak

We consider a massless and minimally coupled self interacting quantum scalar field theory in the inflationary de Sitter background of dimension four. The self interaction potential is taken to be either quartic, $\lambda \phi^4/4!$, or…

High Energy Physics - Theory · Physics 2024-08-13 Sourav Bhattacharya , Sudesh Kumar

The effective potential for a scalar theory with $\lambda\phi^4$ interaction, coupled to a massless fermion through Yukawa interaction is calculated by summing over infinite number of two particle irreducible (2PI) diagrams of two different…

High Energy Physics - Theory · Physics 2026-04-28 Somnath Majumder , Krishnendu Mukherjee

The tree level potential for a scalar multiplet of `Yukawa fields' $Y$ for one type of quarks admits the promising vacuum configuration $<Y> \propto {\rm diag}(0,0,1)$ that breaks spontaneously $SU(3)_L\times SU(3)_R$ flavour symmetry. We…

High Energy Physics - Phenomenology · Physics 2015-06-12 Jose R. Espinosa , Chee Sheng Fong , Enrico Nardi

We use dimensional regularization to evaluate the one loop contribution to the graviton self-energy from a massless, minimally coupled scalar on a locally de Sitter background. For noncoincident points our result agrees with the stress…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Sohyun Park , R. P. Woodard

A mechanism for determining fermion masses in four spacetime dimensions is presented, which uses a scalar-field domain wall extending in a fifth spacelike dimension and a special choice of Yukawa coupling constants. A bounded and discrete…

High Energy Physics - Theory · Physics 2015-06-23 F. R. Klinkhamer , L. Yang

We consider a theory in which a real scalar field is Yukawa-coupled to a fermion and has a potential with two non-degenerate vacua. If the coupling is sufficiently strong, a collection of N fermions deforms the true vacuum state, creating…

High Energy Physics - Phenomenology · Physics 2024-05-08 Loris Del Grosso , Paolo Pani , Alfredo Urbano

We consider the renormalization of the one-loop effective action for the Yukawa interaction. We compute the beta functions in the generalized DeWitt-Schwinger subtraction scheme. For the quantized scalar field we obtain that all the beta…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Sergi Nadal-Gisbert , Antonio Ferreiro , José Navarro-Salas

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…

A real scalar field coupled to a fermion via a Yukawa term can evade no-go theorems preventing solitonic solutions. For the first time, we study this model within General Relativity without approximations, finding static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-08-31 L. Del Grosso , G. Franciolini , P. Pani , A. Urbano

The continuous block spin (Wilson) renormalization group equation governing the scale dependence of the action is constructed for theories containing scalars and fermions. A locally approximated form of this equation detailing the structure…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. E. Clark , B. Haeri , S. T. Love

Loop corrections to primordial correlation functions are unavoidable due to the non-linear nature of gravity. Previous works have established a robust framework for computing the renormalised one-loop power spectra of scalar and tensor…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Matteo Braglia , Sebastián Céspedes , Lucas Pinol

Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The…

High Energy Physics - Theory · Physics 2025-06-16 Ian Jack , Hugh Osborn , Tom Steudtner