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Related papers: Numerical simulation of N=1 supersymmetric Yang-Mi…

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We study N=1 supersymmetric SU(N) Yang-Mills theory on the lattice at strong coupling. Our method is based on the hopping parameter expansion in terms of random walks, resummed for any value of the Wilson parameter r in the small hopping…

High Energy Physics - Theory · Physics 2008-11-26 E. Gabrielli , A. Gonzalez-Arroyo , C. Pena

Recently there has been some controversy in the literature concerning the existence of a fermion sign problem in the $\mathcal{N}=(2,2)$ supersymmetric Yang--Mills (SYM) theories on the lattice. In this work, we address this issue by…

High Energy Physics - Lattice · Physics 2012-01-11 Richard Galvez , Simon Catterall , Anosh Joseph , Dhagash Mehta

We numerically study the SU(2) gauge theory with two dynamical flavors of the domain-wall fermions in fundamental representation. The meson spectra and the residual mass are measured on three lattice volumes and at two values of gauge…

High Energy Physics - Lattice · Physics 2014-01-28 Hideo Matsufuru , Yoshio Kikukawa , Kei-ichi Nagai , Norikazu Yamada

We examine one-flavour $SU(N_c)$ gauge theories, where $N_c$ denotes the number of colors, with one fermion in the antisymmetric representation as a candidate to approximate $\mathcal{N}=1$ super Yang Mills due to their equivalence in the…

High Energy Physics - Lattice · Physics 2023-12-20 Michele Della Morte , Benjamin Jäger , Sofie Martins , Justus Tobias Tsang , Felix P. G. Ziegler

Super-Yang-Mills theory (SYM) is a central building block for supersymmetric extensions of the Standard Model of particle physics. Whereas the weakly coupled subsector of the latter can be treated within a perturbative setting, the strongly…

High Energy Physics - Lattice · Physics 2021-02-03 Marc Steinhauser , André Sternbeck , Björn Wellegehausen , Andreas Wipf

We investigate the pure gauge sector of Super-QCD, i.e. Super-Yang-Mills (SYM) theory, with focus on the bound states. To improve chiral symmetry as well as supersymmetry at finite lattice spacing, we use a deformed SYM lattice action. It…

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

The spectrum of the $D=4$ supersymmetric Yang-Mills quantum mechanics with $SU(3)$ gauge group symmetry is computed in different channels with definite total angular momentum and the total number of fermions. In sectors with small number of…

High Energy Physics - Theory · Physics 2014-09-29 Zbigniew Ambrozinski

Supersymmetric Yang Mills theory is directly accessible to lattice simulations using current methodology, and can provide a non-trivial check of recent exact results in SQCD. In order to tune the lattice simulation to the supersymmetric…

High Energy Physics - Theory · Physics 2008-02-03 Nick Evans , Steve Hsu , Myck Schwetz

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

We discuss the motivations, difficulties and progress in the study of supersymmetric lattice gauge theories focusing in particular on ${\cal N}=1$ and ${\cal N}=4$ super Yang-Mills in four dimensions. Brief reviews of the corresponding…

High Energy Physics - Lattice · Physics 2016-08-23 Georg Bergner , Simon Catterall

In recent years a new class of supersymmetric lattice theories have been proposed which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there has been some controversy in the literature concerning whether…

High Energy Physics - Lattice · Physics 2015-06-03 Simon Catterall , Richard Galvez , Anosh Joseph , Dhagash Mehta

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 generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian…

High Energy Physics - Theory · Physics 2013-09-26 W. Siegel

Dual superconductivity is believed to be a promising mechanism for quark confinement and has been investigated on a lattice effectively by a particular gauge called the maximal Abelian (MA) gauge. We propose a new formulation of SU(3)…

High Energy Physics - Lattice · Physics 2007-10-18 A. Shibata , S. Kato , K. -I. Kondo , T. Murakami , T. Shinohara , S. Ito

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

Supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, it can be restored in the continuum limit by fine tuning the parameters based on the renormalized Ward identities. On the renormalization…

High Energy Physics - Lattice · Physics 2022-12-21 Georg Bergner , Marios Costa , Haralambos Panagopoulos , Stefano Piemonte , Ivan Soler , Gregoris Spanoudes

We report our numerical simulation of two-dimensional N=(2,2) super Yang-Mills. The lattice model we use is one proposed by F.Sugino which keeps one exact supersymmetry at finite lattice spacing. We use Rational Hybrid Monte Carlo (RHMC)…

High Energy Physics - Lattice · Physics 2010-01-21 Issaku Kanamori

We construct lattice action for five-dimensional maximally supersymmetric Yang-Mills theory. This supersymmetric lattice formulation can be used to explore the non-perturbative regime of the continuum target theory, which has a known…

High Energy Physics - Lattice · Physics 2016-06-14 Anosh Joseph

In $\mathcal{N}=1$ supersymmetric Yang-Mills theory, regularised on a space-time lattice, in addition to the breaking by the gluino mass term, supersymmetry is broken explicitly by the lattice regulator. In addition to the parameter tuning…

High Energy Physics - Lattice · Physics 2020-06-26 Sajid Ali , Georg Bergner , Henning Gerber , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

We have proposed a lattice SUSY formulation which we may call super doubler approach, where chiral fermion species doublers and their bosonic counter parts are either identified as super partners or truncated by chiral conditions. We claim…

High Energy Physics - Lattice · Physics 2015-11-02 Alessandro D'Adda , Noboru Kawamoto , Jun Saito
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