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Related papers: Adjoint fermions at large-N on the lattice

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TEK reduction is a well-established technique that allows single-site simulations of Yang-Mills theory in the large-$N_c$ limit by exploiting volume reduction induced by twisted boundary conditions. We performed simulations for $SU(841)$…

High Energy Physics - Lattice · Physics 2023-12-01 Pietro Butti , Antonio Gonzalez-Arroyo

Theories with fermions in the adjoint representation have several interesting applications in extensions of the standard model. The conformal window for these theories is of particular interest for technicolour extensions. We present here…

High Energy Physics - Lattice · Physics 2015-11-17 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We study Yang-Mills lattice theories with $Sp(N_c)$ gauge group, with $N_c=2N$, for $N=1,\,\cdots,\,4$. We show that if we divide the renormalised couplings appearing in the Wilson flow by the quadratic Casimir $C_2(F)$ of the $Sp(N_c)$…

High Energy Physics - Lattice · Physics 2022-11-30 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We study four dimensional large-N SU(N) Yang-Mills theory coupled to adjoint overlap fermions on a single site lattice. Lattice simulations along with perturbation theory show that the bare quark mass has to be taken to zero as one takes…

High Energy Physics - Lattice · Physics 2011-07-14 A. Hietanen , R. Narayanan

Numerical simulations of supersymmetric theories on the lattice are intricate and challenging with respect to their theoretical foundations and algorithmic realisation. Nevertheless, the simulations of a four-dimensional supersymmetric…

High Energy Physics - Lattice · Physics 2013-11-08 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

Large-N QCD with heavy adjoint fermions emulates pure Yang-Mills theory at long distances. We study this theory on a four- and three-torus, and analytically argue the existence of a large-small volume equivalence. For any finite mass,…

High Energy Physics - Theory · Physics 2010-12-24 Tatsuo Azeyanagi , Masanori Hanada , Mithat Unsal , Ran Yacoby

We report on the results of numerical simulations of $SU(N)$ lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation. We analytically and numerically address the question of center symmetry realization on…

High Energy Physics - Lattice · Physics 2014-11-21 Simon Catterall , Richard Galvez , Mithat Unsal

$\mathcal{N}=1$ SUSY Yang-Mills theory is an appealing theoretical framework that has been studied in the literature using different methods, including standard lattice simulations. Among these, the volume-reduced twisted Eguchi-Kawai…

High Energy Physics - Lattice · Physics 2021-11-08 P. Butti , M. Garcia Perez , A. Gonzalez-Arroyo , K. I. Ishikawa , M. Okawa

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge…

High Energy Physics - Lattice · Physics 2010-03-26 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

We study four dimensional $SU(2)$ Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size $L$ much smaller than the strong-coupling scale, this theory can be solved by weak-coupling…

High Energy Physics - Theory · Physics 2018-09-12 Mohamed M. Anber , Erich Poppitz

This work covers volume reduction in quantum field theories on a lattice at large $N$ (number of colors), as first described by Eguchi and Kawai in 1982. The volume reduction (or volume independence) means that the theory defined on an…

High Energy Physics - Lattice · Physics 2013-12-20 Mateusz Koren

We analyze the large-N behavior of SU(N) lattice gauge theories with adjoint fermions by studying volume-reduced models, as pioneered by Eguchi and Kawai. We perform simulations on a single-site lattice for Nf = 1 and Nf = 2 Wilson Dirac…

High Energy Physics - Lattice · Physics 2012-12-04 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

In this paper we study the large $N$ limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice 't Hooft couplings,…

High Energy Physics - Lattice · Physics 2022-07-27 Pietro Butti , Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We use lattice simulations to study the single-site version of SU(N) lattice gauge theory with two flavors of Wilson-Dirac fermions in the adjoint representation, a theory whose large volume correspondent is expected to be conformal or…

High Energy Physics - Lattice · Physics 2013-05-30 Barak Bringoltz , Mateusz Koren , Stephen R. Sharpe

Recent software advances now allow large-scale lattice studies of the Corrigan--Ramond large-$N_C$ limit of Yang-Mills theory coupled with a two-index antisymmetric fermion, providing a path to SUSY Yang-Mills. We are currently generating…

High Energy Physics - Lattice · Physics 2026-03-27 Pietro Butti , Michele Della Morte , Benjamin Jäger , Sofie Martins , J. Tobias Tsang

We present first results for lattice simulations, on a single volume, of the low-lying spectrum of an SU(3) Yang-Mills gauge theory with ten light fermions in the fundamental representation. Fits to the fermion mass dependence of various…

We present a lattice simulation study of large $N_c$ regularities of meson and baryon spectroscopy in $SU(N_c)$ gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include $N_c=2$, 3, 4, and…

High Energy Physics - Lattice · Physics 2017-01-04 Thomas DeGrand , Yuzhi Liu

We investigate the lattice regularization of $\mathcal{N} = 4$ supersymmetric Yang-Mills theory, by stochastically computing the eigenvalue mode number of the fermion operator. This provides important insight into the non-perturbative…

High Energy Physics - Lattice · Physics 2021-05-12 Georg Bergner , David Schaich

SU(N_c) Yang-Mills theory is investigated at finite densities of N_f heavy quark flavors. The calculation of the (continuum) quark determinant in the large-mass limit is performed by analytic methods and results in an effective gluonic…

High Energy Physics - Lattice · Physics 2009-10-31 Kurt Langfeld , Gwansoo Shin

The ${\cal N} = 2^*$ Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric ${\cal N} = 4$ Yang-Mills theory. This theory also takes part in the AdS/CFT correspondence…

High Energy Physics - Lattice · Physics 2018-04-18 Anosh Joseph
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