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We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down…

High Energy Physics - Theory · Physics 2015-06-16 V. K. Oikonomou

We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct…

High Energy Physics - Phenomenology · Physics 2020-03-11 Byung Su Kim , Deog Ki Hong , Jong-Wan Lee

We study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the pattern of underlying symmetries, chiral and…

High Energy Physics - Lattice · Physics 2015-06-23 M. P. Lombardo , K. Miura , T. J. Nunes da Silva , E. Pallante

We extend a model of the Dirac gauginos, which originate from N=2 supersymmetry (SUSY) for the gauge sector, such that the N=2 SUSY is imposed also to the sfermion sector but only for the 3rd generation squarks and sleptons. In addition to…

High Energy Physics - Phenomenology · Physics 2008-12-16 Tatsuru Kikuchi

It was recently established that the paradigmatic Gross--Neveu model with $N$ copies of two-dimensional Dirac fermions features an $\mathrm{SO}(2N)$ symmetry if certain interactions are suppressed. This becomes evident when the theory is…

High Energy Physics - Theory · Physics 2026-03-17 Bilal Hawashin , Max Uetrecht

We present an infinite class of 2+1 dimensional field theories which, after coupling to semi-holographic fermions, exhibit strange metallic behavior in a suitable large $N$ limit. These theories describe lattices of hypermultiplet defects…

High Energy Physics - Theory · Physics 2013-05-29 Kristan Jensen , Shamit Kachru , Andreas Karch , Joseph Polchinski , Eva Silverstein

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

I discuss the consequences of the constraints imposed on the Dirac spectrum by the restoration of chiral symmetry in the chiral limit of gauge theories with two light fermion flavors, with particular attention to the fate of the anomalous…

High Energy Physics - Lattice · Physics 2025-10-29 Matteo Giordano

The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation…

High Energy Physics - Lattice · Physics 2010-01-07 Thomas DeGrand

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation. The pseudoscalar meson mass as a function of hopping…

High Energy Physics - Lattice · Physics 2010-04-30 Kei-ichi Nagai , Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

We propose three-dimensional N=6 superconformal U(N) X U(M) and SU(N) X SU(N) Chern-Simons gauge theories with two pairs of bifundamental chiral superfields in the (N, M) and (\overline{N}, \overline{M}) representations and in the (N, N)…

High Energy Physics - Theory · Physics 2008-10-14 Tianjun Li

The zero mode wave function of a massless Dirac fermion in the presence of a random gauge field is studied. The density correlation function is calculated numerically and found to exhibit power law in the weak randomness with the disorder…

Disordered Systems and Neural Networks · Physics 2009-10-31 Shinsei Ryu , Yasuhiro Hatsugai

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We consider Kaplan's domain wall fermions in the presence of an Anti-de Sitter (AdS) background in the extra dimension. Just as in the flat space case, in a completely vector-like gauge theory defined after discretizing this extra…

High Energy Physics - Lattice · Physics 2009-09-17 Tanmoy Bhattacharya , Csaba Csaki , Matthew R. Martin , Yuri Shirman , John Terning

We study the low-lying eigenmodes of the lattice overlap Dirac operator for SU(N) gauge theories with N=2,3,4 and 5 colours. We define a fermionic topological charge from the zero-modes of this operator and show that, as N grows, any…

High Energy Physics - Lattice · Physics 2009-11-07 Nigel Cundy , Michael Teper , Urs Wenger

We study the $U(1)_A$ anomaly in the high-temperature phase of $N_f=2+1$ lattice QCD with chiral fermions. Gauge ensembles are generated with M\"obius domain-wall (MDW) fermions, and in the measurements the determinant is reweighted to that…

We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d lattice systems (such as Dirac and Weyl semimetals) can never…

Strongly Correlated Electrons · Physics 2025-08-28 Lei Gioia , Anton A. Burkov , Taylor L. Hughes

We are considering a minimal $U(1)_B$ extension of the Standard Model (SM) by promoting the baryon number as a local gauge symmetry to accommodate a stable dark matter (DM) candidate. The gauge theory of baryons induces non-trivial triangle…

High Energy Physics - Phenomenology · Physics 2024-08-23 Taramati , Rameswar Sahu , Utkarsh Patel , Kirtiman Ghosh , Sudhanwa Patra

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal…

High Energy Physics - Theory · Physics 2019-10-15 Moshe Moshe , Jean Zinn-Justin

We give a unified overview of the zero temperature phases of compressible quantum matter: i.e. phases in which the expectation value of a globally conserved U(1) density, Q, varies smoothly as a function of parameters. Provided the global…

High Energy Physics - Theory · Physics 2011-07-08 Liza Huijse , Subir Sachdev
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