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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 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

We study an asymptotically free theory of $N$ relativistic Dirac fermions and a real scalar field coupled by Yukawa and scalar self-interactions in three dimensions using functional renormalisation. In the limit of many fermion flavours,…

High Energy Physics - Theory · Physics 2024-08-22 Charlie Cresswell-Hogg , Daniel F. Litim

A new formulation of perturbation theory for a description of the Dirac and scalar fields (the Yukawa model) is suggested. As the main approximation the self-consistent field model is chosen, which allows in a certain degree to account for…

General Physics · Physics 2016-06-01 Yu. M. Poluektov

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

We consider the one-loop effective potential at zero temperature in field theories with anisotropic space-time scaling, with critical exponent $z=3$, including scalar, fermion and gauge fields. The fermion determinant generates a symmetry…

High Energy Physics - Theory · Physics 2015-06-04 K. Farakos

We consider a model with global Abelian chiral symmetry of two massless fermion fields interacting with a complex massive scalar field. We argue that the Schwinger-Dyson equations for the fermion and boson propagators admit…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomas Brauner , Jiri Hosek

We study the generation of fermion mass in a context where interactions break a discrete chiral symmetry. Then, fermion mass is not protected by a symmetry, no symmetry is broken by the generation of mass, and a vanishing mass no longer…

High Energy Physics - Theory · Physics 2024-09-20 Charlie Cresswell-Hogg , Daniel F. Litim

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

We compute a nonperturbative effective potential between two static fermions in light-front Yukawa theory as a Hamiltonian eigenvalue problem. Fermion pair production is suppressed, to make possible an exact analytic solution in the form of…

High Energy Physics - Phenomenology · Physics 2024-01-02 A. P. Bray , S. S. Chabysheva , J. R. Hiller

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

In the Einstein-Cartan theory of torsion-free gravity coupling to massless fermions, the four-fermion interaction is induced and its strength is a function of the gravitational and gauge couplings, as well as the Immirzi parameter. We study…

High Energy Physics - Theory · Physics 2008-11-26 She-Sheng Xue

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…

We have calculated the explicit form of the real and imaginary parts of the effective potential for uniform magnetic fields which interact with spin-1/2 fermions through the Pauli interaction. It is found that the non-vanishing imaginary…

High Energy Physics - Theory · Physics 2010-10-27 Hyun Kyu Lee , Yongsung Yoon

We consider the neutrino self-energy in a background composed of a scalar particle and a fermion using a simple model for the coupling of the form $\lambda\bar f_R\nu_L\phi$. The results are useful in the context of Dark Matter-neutrino…

High Energy Physics - Phenomenology · Physics 2022-01-17 José F. Nieves , Sarira Sahu

We consider the theory of four-fermion interactions with N-component fermions in de Sitter space. It is found that the effective potential for a composite operator in the theory is calculable in the leading order of the 1/N expansion. The…

High Energy Physics - Theory · Physics 2010-01-06 T. Inagaki , S. Mukaigawa , T. Muta

In the Standard Model of elementary particles the fermions are assumed to be intrinsically massless. Here we propose a new theoretical idea of fermion mass generation (other than by the Higgs mechanism) through the coupling with the vector…

High Energy Physics - Phenomenology · Physics 2025-08-26 Eckart Marsch , Yasuhito Narita

We study the zero-temperature phase diagram of bosons interacting via screened Coulomb (Yukawa) potential by means of the diffusion Monte Carlo method. The Yukawa potential is used as a model interaction in the neutron matter, dusty plasmas…

Quantum Gases · Physics 2012-06-05 O. N. Osychenko , G. E. Astrakharchik , F. Mazzanti , J. Boronat

We present the scalar field effective potential for nonrelativistic self-interacting scalar and fermion fields coupled to an Abelian Chern-Simons gauge field. Fermions are non-minimally coupled to the gauge field via a Pauli interaction.…

High Energy Physics - Theory · Physics 2009-10-22 D. Caenepeel , F. Gingras , M. Leblanc , D. G. C. McKeon

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
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