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Related papers: Meson spectrum in the large $N$ limit

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We have simulated the SU(4) lattice gauge theory coupled to dynamical fermions in the fundamental and two-index antisymmetric (sextet) representations simultaneously. Such theories arise naturally in the context of composite Higgs models…

We present a major update on the spectrum of closed flux tubes in $D=3+1$ $SU(N)$ gauge theories. We measure the excitation spectrum of confining strings wound around a spatial dimension of a size $R$. We do so for the $SU(N)$ Yang-Mills…

High Energy Physics - Theory · Physics 2025-12-17 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

We investigate the scalar and pseudoscalar spectrum of the $SU(2)$ gauge theory with $N_f=2$ flavours of fermions in the fundamental representation using non perturbative lattice simulations. We provide first benchmark estimates of the mass…

High Energy Physics - Lattice · Physics 2016-08-17 Rudy Arthur , Vincent Drach , Ari Hietanen , Claudio Pica , Francesco Sannino

I begin these three lectures by describing some of the useful things that we have learned about large-N gauge theories using lattice simulations. For example that the theory is confining in that limit, that for many quantities SU(3) is…

High Energy Physics - Lattice · Physics 2013-06-11 Michael Teper

We review the current status of the long-term programme of numerical investigation of $Sp(2N)$ gauge theories with and without fermionic matter content. We start by introducing the phenomenological as well as theoretical motivations for…

We present new non-perturbative results about the meson spectrum and the low-energy constants of QCD in the 't Hooft large-$N$ limit, $N\to\infty$ with $N_{\scriptscriptstyle{\rm f}}/N\to 0$. These are obtained from lattice Monte Carlo…

High Energy Physics - Lattice · Physics 2026-03-03 Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We present the results of a lattice QCD calculation of the pseudoscalar meson decay constants f_K, f_D and f_Ds, performed with N_f=2 dynamical fermions. The simulation is carried out with the tree-level improved Symanzik gauge action and…

High Energy Physics - Lattice · Physics 2010-10-12 The ETM Collaboration , B. Blossier , V. Lubicz , S. Simula , C. Tarantino

The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at…

High Energy Physics - Lattice · Physics 2011-06-16 Biagio Lucini , Antonio Rago , Enrico Rinaldi

We present preliminary results for various electroweak form factors of pseudo-scalar mesons using the tree-level improved Symanzik gauge action and the maximally twisted mass fermionic action with Nf = 2 dynamical flavors. Our results,…

High Energy Physics - Lattice · Physics 2008-11-26 ETM Collaboration , S. Simula

We review recent lattice results for the large $N$ limit of SU(N) gauge theories. In particular, we focus on glueball masses, topology and its relation to chiral symmetry breaking (relevant for phenomenology), on the tension of strings…

High Energy Physics - Lattice · Physics 2017-08-23 B. Lucini , M. Teper , U. Wenger

The SU(3) gauge theory with $N_f=8$ nearly massless Dirac fermions has long been of theoretical and phenomenological interest due to the near-conformality arising from its proximity to the conformal window. One particularly interesting…

We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-$N$ QCD in the 't Hooft limit $N_{\scriptscriptstyle{\rm f}}/N\to 0$, as well as of three low-energy constants appearing in the QCD…

High Energy Physics - Lattice · Physics 2025-12-10 Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

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

We consider SU(N) lattice gauge theory at infinite N defined on a torus with a CP invariant twist. Massless fermions are incorporated in an elegant way, while keeping them quenched. We present some numerical results which suggest that…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , R. Narayanan , H. Neuberger

We compute the low energy mass spectrum of lattice QCD in the large $N_C$ limit. Expanding around a gauge-invariant ground state, which spontaneously breaks the discrete chiral symmetry, we derive an improved strong-coupling expansion and…

High Energy Physics - Lattice · Physics 2009-11-10 G. Grignani , D. Marmottini , P. Sodano

We calculate the string tension and part of the mass spectrum of SU(4) and SU(6) gauge theories in 2+1 dimensions using lattice techniques. We combine these new results with older results for N=2,...,5 so as to obtain more accurate…

High Energy Physics - Lattice · Physics 2009-11-07 B. Lucini , M. Teper

We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice…

High Energy Physics - Lattice · Physics 2020-01-29 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry.…

High Energy Physics - Lattice · Physics 2015-06-17 Michele Della Morte , Pilar Hernandez

In this work we consider the SU(N) gauge theory with two Dirac fermions in the adjoint representation, in the limit of large N. Taking advantage of large N twisted volume reduction we do this on a single site lattice, but we should still…

High Energy Physics - Lattice · Physics 2015-01-20 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Liam Keegan , Masanori Okawa

In this work we present the results of a numerical investigation of SU(2) gauge theory with N_f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two…

High Energy Physics - Lattice · Physics 2018-03-14 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior