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Related papers: Large-N reduction in QCD with two adjoint Dirac fe…

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Wilson loops in large N gauge theory exhibit a weak to strong coupling transition as the loop is dilated. A multiplicative matrix model captures the universal behavior associated with this transition. A universal scaling function is…

High Energy Physics - Lattice · Physics 2008-10-06 Rajamani Narayanan , Herbert Neuberger

We provide a lattice demonstration of $(2+1)$-dimensional field theory dualities relating free Dirac or Majorana fermions to strongly-interacting bosonic Chern-Simons-matter theories. Specifically, we prove the recent conjecture that $U(N)$…

High Energy Physics - Theory · Physics 2018-12-04 Jing-Yuan Chen , Max Zimet

We report on numerical simulations of SU(2) lattice gauge theory with two flavors of light dynamical quarks in the adjoint of the gauge group. The dynamics of this theory is thought to be very different from QCD -- the theory exhibiting…

High Energy Physics - Lattice · Physics 2010-02-03 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible

We perform hybrid Monte Carlo simulation of (2+1+1)-flavors lattice QCD with the optimal domain-wall fermion (which has the effective 4D Dirac operator exactly equal to the Zolotarev optimal rational approximation of the overlap Dirac…

High Energy Physics - Lattice · Physics 2017-02-09 Yu-Chih Chen , Ting-Wai Chiu

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

We study SU(2) lattice gauge theory with two flavors of Wilson fermion at non-zero chemical potential mu and low temperature on a 8^3x16 system. We identify three regimes along the mu-axis. For mu<~m_pi/2 the system remains in the vacuum…

High Energy Physics - Lattice · Physics 2009-01-07 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

We find large N gauge theories containing a large number of operators within a band of low conformal dimensions. One of such examples is the four-dimensional N=1 supersymmetric SU(N) gauge theory with one adjoint and a pair of…

High Energy Physics - Theory · Physics 2020-08-18 Prarit Agarwal , Jaewon Song

Dilaton effective field theory (dEFT) can be employed to analyze lattice data in gauge theories that lie in close proximity of the lower edge of the conformal window. Under special conditions, we show that it can be used as a diagnostic…

High Energy Physics - Lattice · Physics 2026-02-09 Thomas Appelquist , James Ingoldby , Maurizio Piai

We investigate the rich quantum phase diagram of Wegner's theory of discrete Ising gauge fields interacting with $U(1)$ symmetric single-component fermion matter hopping on a two-dimensional square lattice. In particular limits the model…

Strongly Correlated Electrons · Physics 2022-06-20 Umberto Borla , Bhilahari Jeevanesan , Frank Pollmann , Sergej Moroz

$G_2$-QCD, in which the exceptional Lie group $G_2$ replaces the $SU(3)$ gauge group of QCD, does not suffer from a fermion sign problem. It can therefore be simulated also at comparatively low temperatures and high densities on the…

High Energy Physics - Lattice · Physics 2015-01-28 Bjoern H. Wellegehausen , Lorenz von Smekal

Two dimensional QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$, a useful toy model of QCD strings, is supersymmetric for a certain ratio of quark mass and gauge coupling constant. Here we study the theory…

High Energy Physics - Theory · Physics 2009-10-28 Joshua Boorstein , David Kutasov

We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU($N_c$)…

High Energy Physics - Theory · Physics 2019-07-01 Sudhakantha Girmohanta , Thomas A. Ryttov , Robert Shrock

We analyze newly expanded and refined data from lattice studies of an SU(3) gauge theory with eight Dirac fermions in the fundamental representation. We focus on the light composite states emerging from these studies, consisting of a set of…

We consider the large N limit of four dimensional SU(N) Yang-Mills field coupled to adjoint fermions on a single site lattice. We use perturbative techniques to show that the Z^4_N center-symmetries are broken with naive fermions but they…

High Energy Physics - Lattice · Physics 2010-12-15 A. Hietanen , R. Narayanan

The effective potential for the Wilson loop in the SU(2) gauge theory with N_f massive fundamental and N_a massive adjoint fermions on S^1 x M^4 is computed at the one-loop level, assuming periodic boundary conditions for the gauge field…

High Energy Physics - Phenomenology · Physics 2009-11-10 Muge Boz , Namik K. Pak

QCD with gauge group $SU(N_c)$ flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions $N_f \gg N_c$. We study the stability of this fixed point via the…

High Energy Physics - Theory · Physics 2016-09-28 Hart Goldman , Michael Mulligan

We study the ground-state properties of a class of $\mathbb{Z}_n$ lattice gauge theories in 1 + 1 dimensions, in which the gauge fields are coupled to spinless fermionic matter. These models, stemming from discrete representations of the…

Quantum Physics · Physics 2018-10-08 Elisa Ercolessi , Paolo Facchi , Giuseppe Magnifico , Saverio Pascazio , Francesco V. Pepe

Recently it has been found that in a noncompact formulation of the SU(2) gauge theory on a lattice the physical volume is larger than in the Wilson theory with the same number of sites. In its original formulation such noncompact…

High Energy Physics - Lattice · Physics 2007-05-23 Giuseppe Di Carlo , Fabrizio Palumbo , Roberto Scimia

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

Gauge theories with gauge group $SU(N)$ and quarks belonging to arbitrary representations of $SU(N)$ form a rich landscape of QCD-like theories, whose study can shed new light on the properties of confinement. Four cases are particularly…

High Energy Physics - Lattice · Physics 2020-03-23 F. Buisseret , C. Semay