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The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the…

High Energy Physics - Lattice · Physics 2018-06-20 Alessandro Amato , Viljami Leino , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

We gauge the experimentally observed flavor (family) index of chiral lepton and quark fields and argue that the resulting non-vectorial SU(3)_F dynamics completely self-breaks. This breakdown generates fermion masses, which in turn trigger…

High Energy Physics - Phenomenology · Physics 2011-11-04 Petr Benes , Jiri Hosek , Adam Smetana

We do not know why there are three fermion families in the Standard Model (SM), nor can we explain the observed pattern of fermion masses and mixing angles. Standard grand unified theories based on the SU(5) and SO(10) groups fail to shed…

High Energy Physics - Phenomenology · Physics 2020-12-16 Renato M. Fonseca

A novel strong interaction beyond the standard model could provide a dynamical explanation of electroweak symmetry breaking. Experimental results strongly constrain properties of models that realise this mechanism. Whether these constraints…

High Energy Physics - Lattice · Physics 2015-09-02 Biagio Lucini

We examine several recent lattice-simulation data sets, asking whether they are consistent with infrared conformality. We observe, in particular, that for an SU(3) gauge theory with 12 Dirac fermions in the fundamental representation,…

High Energy Physics - Lattice · Physics 2015-03-19 Thomas Appelquist , George T. Fleming , Meifeng Lin , Ethan T. Neil , David A. Schaich

We use Monte Carlo simulation to probe the phase structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors transforming in the fundamental representation of the group and interacting through an additional four fermion term.…

High Energy Physics - Lattice · Physics 2013-05-30 Simon Catterall , Richard Galvez , Jay Hubisz , Dhagash Mehta , Aarti Veernala

We present exact results in softly-broken supersymmetric $\text{SU}(N_C)$ chiral gauge theories with charged fermions in one antisymmetric, $N_F$ fundamental, and $N_C+N_F-4$ anti-fundamental representations. We achieve this by considering…

High Energy Physics - Theory · Physics 2025-05-08 Jacob M. Leedom , Hitoshi Murayama , Gup Singh , Bethany Suter , Jason Wong

We test a candidate for a four-dimensional C-function. This is done by considering all asymptotically free, vectorlike gauge theories with N_f flavors and fermions in arbitrary representations of any simple Lie group. Assuming spontaneous…

High Energy Physics - Theory · Physics 2009-11-07 Jesper Levinsen

We show that the assumption of non-zero topological susceptibility of the vacuum in a fermion-free version of a theory, such as gravity or QCD, suffices to conclude the following: Once N massless fermion flavors are added to the theory,…

High Energy Physics - Theory · Physics 2017-05-19 Gia Dvali

An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

High Energy Physics - Lattice · Physics 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

We extend the phase diagram of SU(N) gauge-fermion theories as function of number of flavours and colours to the region in which asymptotic freedom is lost. We argue, using large $N_f$ results, for the existence of an ultraviolet…

High Energy Physics - Phenomenology · Physics 2018-06-13 Oleg Antipin , Francesco Sannino

We assign the chiral fermion fields of the Standard model to triplets of flavor (family, generation, horizontal) $SU(3)_f$ symmetry, for anomaly freedom add one triplet of sterile right-handed neutrino fields, and gauge that symmetry. First…

High Energy Physics - Phenomenology · Physics 2016-12-01 Jiri Hosek

We study, for the first time, the interplay between colour-confining and chiral symmetry-breaking dynamics in gauge-fermion systems with a general number of flavours and colours. Specifically, we work out the flavour dependence of the…

High Energy Physics - Theory · Physics 2024-12-18 Florian Goertz , Álvaro Pastor-Gutiérrez , Jan M. Pawlowski

We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N). The fixed points of the…

High Energy Physics - Theory · Physics 2014-10-02 Thomas A. Ryttov

We discuss various aspects of Conformal Field Theories on the Lattice. We mainly investigate the SU(3) gauge theory with N_f degenerate fermions in the fundamental representation, employing the one-plaquette gauge action and the Wilson…

High Energy Physics - Lattice · Physics 2013-07-24 Y. Iwasaki

Using lattice simulations, we study the extent of the conformal window for an $\text{SU}(3)$ gauge theory with $N_f$ Dirac fermions in the fundamental representation. We present evidence that the infrared behavior is conformal for $12 \leq…

High Energy Physics - Phenomenology · Physics 2009-12-15 Thomas Appelquist , George T. Fleming , Ethan T. Neil

We review some recent progress in our understanding of the phase diagram of non abelian gauge theories, by varying their flavor content -- fermion representations and the number of flavors. In particular, we explore the way conformal…

High Energy Physics - Lattice · Physics 2010-11-05 E. Pallante

We investigate the chiral properties of SU(2) gauge theory with six flavors, i.e. six light Dirac fermions in the fundamental representations by lattice simulation, and point out that the spontaneous breakdown of chiral symmetry does not…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , M. Tomii , N. Yamada

The masses of the lowest-lying states in the meson and in the gluonic sector of an SU(2) gauge theory with two Dirac flavors in the adjoint representation are measured on the lattice at a fixed value of the lattice coupling $\beta = 4/g_0^2…

High Energy Physics - Lattice · Physics 2010-03-25 L. Del Debbio , B. Lucini , A. Patella , C. Pica , A. Rago
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