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We study conformal field theories with Yukawa interactions in dimensions between 2 and 4; they provide UV completions of the Nambu-Jona-Lasinio and Gross-Neveu models which have four-fermion interactions. We compute the sphere free energy…

High Energy Physics - Theory · Physics 2017-03-30 Lin Fei , Simone Giombi , Igor R. Klebanov , Grigory Tarnopolsky

Studying the strong correlation effects in interacting Dirac fermion systems is one of the most challenging problems in modern condensed matter physics. The long-range Coulomb interaction and the fermion-phonon interaction can lead to a…

Strongly Correlated Electrons · Physics 2021-08-25 Xiao-Yin Pan , Zhao-Kun Yang , Xin Li , Guo-Zhu Liu

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach, and it is found that the resulting…

High Energy Physics - Phenomenology · Physics 2013-03-11 Jean Alexandre

In the minimal model of electroweak interactions we carefully investigate the spectrum of the massive euclidean \dop \ in three, four and five dimensions ($D$) in the presence of \tly \ nontrivial \exl \ fields. More specifically we study…

High Energy Physics - Phenomenology · Physics 2009-10-22 Minos Axenides , Andrei Johansen , Holger Bech Nielsen

Understanding the behavior of interacting fermions is of fundamental interest in many fields ranging from condensed matter to high energy physics. Developing numerically efficient and accurate simulation methods is an indispensable part of…

Strongly Correlated Electrons · Physics 2017-08-03 Shainen M. Davidson , Dries Sels , Anatoli Polkovnikov

In this work, we present evidence for the spontaneous breaking of a continuous symmetry in a nearest-neighbour interacting spin-1 chain tuned to a quantum critical point at $T=0$ between two XY quasi-long-range order phases differing by the…

Statistical Mechanics · Physics 2025-11-18 R. Flores-Calderón , M. Zündel

Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO(3)$\times$U(1) symmetry. Using large-scale auxiliary-field…

Strongly Correlated Electrons · Physics 2022-02-25 Zi Hong Liu , Matthias Vojta , Fakher F. Assaad , Lukas Janssen

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD's gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields…

Nuclear Theory · Physics 2017-08-23 C. D. Roberts

A dynamical mechanism, based on a confining non-abelian dark symmetry, which generates Majorana masses for hypercharge-less fermions, is proposed. We apply it to the inverse seesaw scenario, which allows to generate light neutrino masses…

High Energy Physics - Phenomenology · Physics 2024-08-08 Maximilian Berbig , Juan Herrero-Garcia , Giacomo Landini

We present a supersymmetric composite model with dynamical supersymmetry breaking. The model is based on the gauge group $SU(2)_S \times SU(2)_H \times SU(3)_c \times SU(2)_L \times U(1)_Y$. Supersymmetry is dynamically broken by the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Noriaki Kitazawa , Nobuchika Okada

Dynamical symmetry breaking in three dimensional QED with $N$ flavors, which has been mostly analyzed by solving the Schwinger-Dyson equations, is investigated by means of the approximated Wilson, or non-perturbative, renormalization group…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Kubota , H. Terao

We consider massless three-dimensional $\mathcal{N}=1$ supersymmetric quantum electrodynamics (QED) with $N_f$ flavours of electrons. Within the dimensional reduction scheme, we compute the critical exponents corresponding to both the…

High Energy Physics - Theory · Physics 2023-02-15 S. Metayer , S. Teber

Dynamical gauge symmetry breaking on the orbifold $T^2/Z_2$ is shown to occur through quantum dynamics of Wilson line phases. Different sets of boundary conditions on $T^2/Z_2$ can be related to each other by Wilson line phases, forming…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yutaka Hosotani , Shusaku Noda , Kazunori Takenaga

The critical behavior of a relativistic $\mathbb{Z}_2$-symmetric Yukawa model at zero temperature and density is discussed for a continuous number of fermion degrees of freedom and of spacetime dimensions, with emphasis on the role played…

High Energy Physics - Theory · Physics 2015-06-10 Gian Paolo Vacca , Luca Zambelli

Chiral symmetry breaking in QCD is studied introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamically massive gluons. The effective confining propagator has the form…

High Energy Physics - Phenomenology · Physics 2011-12-06 A. A. Natale , A. Doff , F. A. Machado

Dynamical symmetry breaking is studied in an E_6 GUT model of a single generation of fermions with strong 4-fermi interactions. The effective potential is analyzed analytically by the help of Michel's conjecture and the result is confirmed…

High Energy Physics - Phenomenology · Physics 2017-02-01 Taichiro KUGO , Joe SATO

The massless three dimensional Gross-Neveu-Yukawa (GNY) and Nambu--Jona-Lasinio--Yukawa (NJLY) models at finite temperatures are analyzed within the mean field framework considering all coupling values. When the number of Dirac fermions is…

High Energy Physics - Theory · Physics 2020-09-16 Marcus Benghi Pinto

Elucidating the phase diagram of lattice gauge theories with fermionic matter in 2+1 dimensions has become a problem of considerable interest in recent years, motivated by physical problems ranging from chiral symmetry breaking in…

Strongly Correlated Electrons · Physics 2020-05-15 Nikolai Zerf , Rufus Boyack , Peter Marquard , John A. Gracey , Joseph Maciejko

We present a systematic investigation of all sixteen marginally relevant fermion-fermion interactions in two-dimensional time-reversal symmetry-breaking kagom\'{e} semimetals hosting a quadratic band crossing point. Employing a…

Strongly Correlated Electrons · Physics 2025-10-28 Yi-Kun Fang , Jing Wang

The mechanism of dynamical chiral symmetry breaking is studied in the Abelian version of the gauged Nambu-Jona-Lasinio model in four dimensions. The most interesting feature of the gauged Nambu-Jona-Lasinio model is the appearance of…

High Energy Physics - Theory · Physics 2007-05-23 Manuel Reenders