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Numerical evidence for a new dynamical mechanism of elementary particle mass generation has been found by lattice simulation in a simple, yet highly non-trivial SU(3) gauge model where a SU(2) doublet of strongly interacting fermions is…

High Energy Physics - Lattice · Physics 2018-11-27 Roberto Frezzotti , Giancarlo Rossi

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 present a calculation of the phase diagram of a $SU(2) \times SU(2)$ chiral Yukawa model with massless decoupled doublers, using a saddle point approach, both for small and large Yukawa coupling. Some preliminary MonteCarlo results are…

High Energy Physics - Lattice · Physics 2010-03-19 J. L. Alonso , Ph. Boucaud , F. Lesmes , E. Rivas

We propose a model based on the gauge group $SU(4)\times SU(2)_L\times SU(2)_R$ where the Dirac masses of all the known fermions are generated as one-loop radiative corrections. We are able to generate realistic quark and lepton masses and…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mihir P. Worah

The lattice phase structure of a gauge theory can be a serious obstruction to Monte Carlo studies of its continuum behaviour. This issue is particularly delicate when numerical studies are performed to determine whether a theory is in a…

High Energy Physics - Lattice · Physics 2014-08-14 Biagio Lucini , Agostino Patella , Antonio Rago , Enrico Rinaldi

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

For a lattice regularized chiral-invariant $SU(2)_L\times~SU(2)_R$ fermion-scalar model with a Yukawa coupling $y$ and a Wilson-Yukawa coupling $w$, we investigate the phase structure and in particular show the existence of the…

High Energy Physics - Lattice · Physics 2009-10-22 T. Ebihara , K. -I. Kondo

We study Schwinger-Dyson equation for fermions in Yukawa and Wess-Zumino models, in terms of dynamical mass generation and the wavefunction renormalization function. In the Yukawa model with $\gamma_5$-type interaction between scalars and…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bashir , J. Lorenzo Diaz-Cruz

We generalize the $N_F=2$ Schwinger model on the lattice by adding a charged scalar field. In this so-called $\chi U\phi_2$ model the scalar field shields the fermion charge, and a neutral fermion, acquiring mass dynamically, is present in…

High Energy Physics - Lattice · Physics 2009-10-28 W. Franzki , J. Jersak. R. Welters

We study a lattice model of interacting Dirac fermions in $(2+1)$ dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a {\it continuous} quantum phase transition from the weakly…

Strongly Correlated Electrons · Physics 2016-12-28 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent…

High Energy Physics - Phenomenology · Physics 2014-08-12 Valentin Kasper , Florian Hebenstreit , Jürgen Berges

We present the phase structure of the chiral SU(2)xSU(2) scalar-fermion model on the lattice using the Zaragoza proposal for chiral fermions. The numerical result agrees with an analytic study based on the use of weak and strong Yukawa…

High Energy Physics - Lattice · Physics 2010-03-19 J. L. Alonso , F. Lesmes , E. Rivas , Ph. Boucaud

In this work we study the dynamical generation of a fermion mass induced by a constant and uniform external magnetic field in an Abelian gauge model with a Yukawa term. We show that the Yukawa coupling not only enhances the dynamical…

High Energy Physics - Theory · Physics 2009-10-31 Efrain J. Ferrer , Vivian de la Incera

The calculation of Yukawa couplings in F-theory GUTs is developed. The method is applied to the top and bottom Yukawa couplings in an SU(5) model of fermion masses based on family symmetries coming from the SU(5)_\perp factor in the…

High Energy Physics - Theory · Physics 2011-03-03 G. K. Leontaris , G. G. Ross

We study a single exactly massless staggered fermion in the fundamental representation of an $SU(2)$ gauge group. We utilize an nHYP-smeared fermion action supplemented with additional heavy Pauli-Villars fields which serve to decrease…

High Energy Physics - Lattice · Physics 2024-12-20 Nouman Butt , Simon Catterall , Anna Hasenfratz

One of the most challenging hurdles to the construction of realistic composite Higgs models is the generation of Yukawa couplings for the Standard Model fermions. This problem can be successfully addressed in approximate conformal theories…

High Energy Physics - Phenomenology · Physics 2016-07-12 Luca Vecchi

The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson-quark Lagrangian, with the quark (q) and meson ($\sigma,\pi$) fields all treated as elementary, having neither bare masses nor…

High Energy Physics - Phenomenology · Physics 2008-11-26 R Delbourgo , M D Scadron

The symmetry breakdown pattern is studied in models containing one fermion flavor multiplet and a multicomponent scalar field, supplemented with a chiral Yukawa-interaction, and in presence of an explicit symmetry breaking source quadratic…

High Energy Physics - Phenomenology · Physics 2017-11-03 A. Jakovác , I. Kaposvári , A. Patkós

We discuss dynamical mass generation for fermions and pseudoscalar fields (axion-like particles (ALP)), in the context of effective theories containing Yukawa type interactions between the fermions and ALPs. We discuss both Hermitian and…

High Energy Physics - Phenomenology · Physics 2020-12-16 Jean Alexandre , Nick E. Mavromatos , Alex Soto

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