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We study the Yukawa model with one scalar and one axial scalar fields, coupled to $N$ copies of Dirac fermions, in curved spacetime background. The theory possesses a reach set of coupling constants, including the scalar terms with odd…

High Energy Physics - Theory · Physics 2019-10-15 Iosif L. Buchbinder , Andreza Rairis Rodrigues , Eduardo Antonio dos Reis , Ilya L. Shapiro

We solve the nonequilibrium dynamics of a 3+1 dimensional theory with Dirac fermions coupled to scalars via a chirally invariant Yukawa interaction. The results are obtained from a systematic coupling expansion of the 2PI effective action…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Berges , Sz. Borsanyi , J. Serreau

Using the method of correlation dynamics we investigate the properties of a field-theory for fermions and scalar bosons coupled via a Yukawa interaction. Within this approach, which consists in an expansion of full equal-time Green…

High Energy Physics - Theory · Physics 2009-10-31 S. Juchem , W. Cassing , J. M. Haeuser

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 consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

This paper is dedicated to formulate the interaction picture dynamics of the self-dual field minimally coupled to fermions. To make this possible, we start by quantizing the free self-dual model by means of the Dirac bracket quantization…

High Energy Physics - Theory · Physics 2014-11-18 H. O. Girotti

The Yukawa Model is revisited in one space - one time dimensions in an approach completely different to those available in the literature. We show that at the classical level it is a constrained system. We apply the Dirac method of…

High Energy Physics - Theory · Physics 2018-11-15 Laure Gouba

We extend the adiabatic regularization method for an expanding universe to include the Yukawa interaction between a quantized Dirac field and a homogeneous time-dependent scalar field. We present the renormalized semiclassical equations…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Antonio Ferreiro , Adrian del Rio , Jose Navarro-Salas , Silvia Pla , Francisco Torrenti

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…

The Yukawa model in curved spacetime is considered. We consider a complex scalar field coupled to a $U(1)$ gauge field and also interacting with Dirac fields with a general Yukawa coupling. The local momentum space method is used to obtain…

High Energy Physics - Theory · Physics 2018-07-25 David J. Toms

We study a Dirac fermion model with three kinds of disorder as well as a marginal interaction which forms the critical line of $c=1$ conformal field theory. Computing scaling equations by the use of a perturbative renormalization group…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Fukui

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

In this mini review, we discuss some recent developments regarding properties of (quantum) field-theory models containing anti-Hermitian Yukawa interactions between pseudoscalar fields (axions) and Dirac (or Majorana) fermions.…

High Energy Physics - Phenomenology · Physics 2021-11-15 Nick E. Mavromatos

We study the multiple solutions of the truncated propagator Dyson-Schwinger equation for a simple fermion theory with Yukawa coupling to a scalar field. Upon increasing the coupling constant $g$, other parameters being fixed, more than one…

High Energy Physics - Phenomenology · Physics 2008-11-26 Felipe J. Llanes-Estrada , Tim Van Cauteren , Angel Paramo Martin

We investigate a class of models with a massless fermion and a self-interacting scalar field with the Yukawa interaction between these two fields. The models considered are formulated in two and four spacetime dimensions and possess a…

High Energy Physics - Phenomenology · Physics 2014-12-09 V. G. Ksenzov , A. I. Romanov

The non-equilibrium dynamics of a Yukawa theory with N fermions coupled to a scalar field is studied in the large N limit with the goal of comparing the dynamics predicted from the renormalization group improved effective potential to that…

High Energy Physics - Phenomenology · Physics 2014-11-17 Daniel Boyanovsky , Hector J. de Vega , Richard Holman , Matthew R. Martin

In this work we applied the Dirac-Bergmann procedure to establish the Dirac brackets, which have regard to interaction for the light-front Yukawa model in D=1+3 dimensions. We made use of a simple matrix equation leading to solution of the…

High Energy Physics - Theory · Physics 2020-03-26 Jan Żochowski

We model backreaction in AdS$_2$ JT gravity via a proposed boundary dual Sachdev-Ye-Kitaev quantum dot coupled to Dirac fermion matter and study it from the perspective of quantum entanglement and chaos. The boundary effective action…

High Energy Physics - Theory · Physics 2024-05-15 Pak Hang Chris Lau , Chen-Te Ma , Jeff Murugan , Masaki Tezuka

We report on a numerical study of real-time dynamics of electromagnetically interacting chirally imbalanced lattice Dirac fermions within the classical statistical field theory approach. Namely, we perform exact simulations of the real-time…

High Energy Physics - Theory · Physics 2016-07-13 P. V. Buividovich , M. V. Ulybyshev

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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