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Related papers: The large $N$ limit from the lattice

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We argue that a simple qubit-regularized $\mathrm{SU}(2)$ lattice gauge theory (LGT) on a plaquette chain serves as a pseudo-one-dimensional toy model for Yang-Mills (YM) theory in three spatial dimensions. We map the chain Hamiltonian to…

High Energy Physics - Lattice · Physics 2026-01-22 Rui Xian Siew , Shailesh Chandrasekharan , Tanmoy Bhattacharya

This work is about pure Yang-Mills theory in four Euclidean dimensions with gauge group SU(N). We study rectangular smeared Wilson loops on the lattice at large N and relatively close to the large-N transition point in their eigenvalue…

High Energy Physics - Lattice · Physics 2015-06-05 Robert Lohmayer , Herbert Neuberger

I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop…

High Energy Physics - Theory · Physics 2007-05-23 Andrey Dubin

The physics of electric and magnetic screening in non-Abelian finite temperature field theory is closely related to the non-perturbative properties of the corresponding three-dimensional effective theories which are confining. I discuss…

High Energy Physics - Phenomenology · Physics 2007-05-23 Owe Philipsen

We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy…

High Energy Physics - Theory · Physics 2011-03-07 Ofer Aharony , Matan Field

We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the ${\bf 1}, {\bf 3}, {\bf \overline{3}}$ representations for the link variables. Explicit expressions are given for the…

High Energy Physics - Lattice · Physics 2026-01-16 Vincent Chen , Berndt Müller , Xiaojun Yao

Confinement via 't Hooft-Mandelstam monopoles is studied for the positive plaquette model in SU(2) lattice gauge theory. Positive plaquette model configurations are projected into the maximum abelian gauge and the magnetic current…

High Energy Physics - Lattice · Physics 2009-10-28 John D. Stack , Steven D. Neiman

Supersymmetric gauge theories are an essential part of most theories beyond the standard model. In the present work we investigate the pure gauge sector of Super-QCD focusing on the bound states, i.e. mesonic gluinoballs, gluino-glueballs…

High Energy Physics - Lattice · Physics 2019-12-23 Marc Steinhauser , Andre Sternbeck , Björn Wellegehausen , Andreas Wipf

We consider large Wilson loops with quarks in higher representations in SU(N) Yang-Mills theories. We consider representations with common N-ality and check whether the expectation value of the Wilson loop depends on the specific…

High Energy Physics - Theory · Physics 2009-11-11 Adi Armoni , Biagio Lucini

The masses of two-gluon glueballs are studied with a semirelativistic potential model whose interaction is a scalar linear confinement supplemented by a one-gluon exchange mechanism. The gluon is massless but the leading corrections of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Brau , C. Semay , B. Silvestre-Brac

We study the spectrum of closed flux tubes in four dimensional SU(N) gauge theories. We do so by calculating the energies of the low lying states with the variational technique (whose basis consists of about ~700 operators). We study states…

High Energy Physics - Lattice · Physics 2010-11-05 Andreas Athenodorou , Barak Bringoltz , Michael Teper

We present results for the fundamental string tension in SU(2) lattice gauge theory after projection to maximal abelian and direct maximal center gauges. We generate 20 Gribov copies/configuration. Abelian and center projected string…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , William W. Tucker

Standard Monte Carlo simulations have been performed on improved lattices to measure the wave functions and sizes of the scalar and tensor glueballs at four lattice spacings in the range $a= 0.05 - 0.145$ fm. Systematic errors from…

High Energy Physics - Lattice · Physics 2009-11-11 Mushtaq Loan , Yi Ying

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

SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass m. Lattice simulations indicate that this confining region is smoothly connected…

High Energy Physics - Lattice · Physics 2010-01-21 Michael C. Ogilvie , Peter N. Meisinger

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

We analyze the vacuum structure of SU(2) lattice gauge theories in D=2,3,4, concentrating on the stability of 't Hooft loops. High precision calculations have been performed in D=3; similar results hold also for D=4 and D=2. We discuss the…

High Energy Physics - Lattice · Physics 2013-11-19 Giuseppe Burgio

We delve deeper into the potential composition of dark matter as stable scalar glueballs from a confining dark $SU(N)$ gauge theory, focusing on $N=\{3,4,5\}$. To predict the relic abundance of glueballs for the various gauge groups and…

High Energy Physics - Phenomenology · Physics 2023-12-20 Pierluca Carenza , Tassia Ferreira , Roman Pasechnik , Zhi-Wei Wang

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

We show that the lattice glueball masses $M_G$ versus $N$ in SU($N$) and Sp($2N$) Yang-Mills theories scale as $\frac{M_G}{\sqrt\sigma}\sim \sqrt{\frac{C_2(adj)}{C_2(f)}}$, with $\sigma$ the fundamental string tension and $C_2(adj)$ and…

High Energy Physics - Phenomenology · Physics 2026-01-13 F. Buisseret , C. Chevalier , V. Mathieu , C. Semay