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The Wilson discretization of the dimensionally reduced supersymmetric Yang-Mills theory is constructed. This gives a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for…

High Energy Physics - Theory · Physics 2007-05-23 R. A. Janik , J. Wosiek

SU(3) gauge theories with increasing number of light fermions are the templates of strongly interacting sectors and studying their low-energy dynamics and spectrum is important, both for understanding the strong dynamics of QCD itself, but…

The prepotential and spectral curve are described for a smooth interpolation between an enlarged N=4 SUSY and ordinary N=2 SUSY Yang-Mills theory in four dimensions, obtained by compactification from five dimensions with non-trivial…

High Energy Physics - Theory · Physics 2009-10-31 H. W. Braden , A. Marshakov , A. Mironov , A. Morozov

In recent work, we demonstrated that the confined-phase spectrum of non-supersymmetric pure Yang-Mills theory coincides with the spectrum of the chiral sector of a two-dimensional conformal field theory in the large-$N$ limit. This was done…

High Energy Physics - Theory · Physics 2016-07-20 Gökçe Başar , Aleksey Cherman , Keith R. Dienes , David A. McGady

We perform Monte Carlo investigations of the 4d ${\cal N}=1$ supersymmetric Yang-Mills (SYM) theory on the lattice with dynamical gluinos in the adjoint representation of the SU(2) gauge group. Our aim is to determine the mass spectrum of…

High Energy Physics - Lattice · Physics 2010-01-21 K. Demmouche , F. Farchioni , A. Ferling , I. Montvay , G. Münster , E. E. Scholz , J. Wuilloud

We study two-dimensional N=(2,2) SU(N) super Yang-Mills theory on Euclidean two-torus using Sugino's lattice regularization. We perform the Monte-Carlo simulation for N=2,3,4,5 and then extrapolate the result to N = infinity. With the…

High Energy Physics - Lattice · Physics 2009-10-20 Masanori Hanada , Issaku Kanamori

We investigate the quantum properties of the truly gauge-invariant and conserved charges of two-dimensional Yang-Mills theories, focusing on lattice QCD in the strong coupling regime. The construction of those charges uses the integral…

High Energy Physics - Lattice · Physics 2026-03-16 Paulo A. Faria da Veiga , Luiz A. Ferreira , Henrique Malavazzi , Ravi Mistry

We study the non-commutative supersymmetric Yang-Mills theory at strong coupling using the AdS/CFT correspondence. The supergravity description and the UV/IR relation confirms the expectation that the non-commutativity affects the…

High Energy Physics - Theory · Physics 2009-10-31 Akikazu Hashimoto , N. Itzhaki

Maximally supersymmetric Yang--Mills theory (N=4 SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero lattice spacing and a finite lattice volume. This…

High Energy Physics - Lattice · Physics 2023-04-11 David Schaich

The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large $N$ limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described,…

High Energy Physics - Lattice · Physics 2026-02-05 Laurence G. Yaffe

In this paper, we consider two-dimensional N=(4,4) supersymmetric Yang-Mills (SYM) theory and deform it by a mass parameter M with keeping all supercharges. We further add another mass parameter m in a manner to respect two of the eight…

High Energy Physics - Lattice · Physics 2015-05-30 Masanori Hanada , So Matsuura , Fumihiko Sugino

We construct SU($N$) super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. It is based on topological field theory formulation for the super Yang-Mills…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino

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

Supersymmetric gauge theories are an important building block for extensions of the standard model. As a first step towards Super-QCD we investigate the pure gauge sector with gluons and gluinos on the lattice, in particular the low energy…

High Energy Physics - Lattice · Physics 2018-04-18 Marc Steinhauser , André Sternbeck , Björn Wellegehausen , Andreas Wipf

We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for…

High Energy Physics - Theory · Physics 2026-05-19 M. Billo , A. Lerda , A. Testa

We study a discretization of ${\cal N}=2$ super Yang-Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in terms of {\it twisted} fields. In…

High Energy Physics - Lattice · Physics 2010-10-27 Simon Catterall

The $SU(N)$ Yang-Mills theory compactified on $\mathbb{R}^3 \times S^1_L$ with small $L$ has many merits, for example the long range effective theory is weakly coupled and adopts rich topological structures, making it semi-classically…

High Energy Physics - Theory · Physics 2025-03-04 Baiyang Zhang , Aditya Dhumuntarao

We consider $1+1$ dimensional Yang-Mills theory with gauge group $G$ coupled to a massive Majorana fermion field in an adjoint representation and a number of massless Dirac or Majorana fermions transforming in arbitrary representations of…

High Energy Physics - Theory · Physics 2022-04-20 Fedor K. Popov

We consider certain vacua of four-dimensional SU(N) gauge theory with the same field content as the N=4 supersymmetric Yang-Mills theory, resulting from potentials which break the N=4 supersymmetry as well as its global SO(6) symmetry down…

High Energy Physics - Theory · Physics 2015-05-14 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

Confinement in asymptotically free gauge theories is accompanied by the spontaneous breaking of the global flavor symmetry. If a subgroup of the flavor symmetry group is coupled weakly to additional gauge fields, the vacuum state tends to…

High Energy Physics - Lattice · Physics 2015-05-14 Maarten Golterman , Yigal Shamir