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

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We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral…

High Energy Physics - Lattice · Physics 2009-07-30 Michael G. Endres

Supersymmetry is one of the possible scenarios for physics beyond the standard model. The building blocks of this scenario are supersymmetric gauge theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM) theory with gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Daniel August , Björn Wellegehausen , Andreas Wipf

We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. A set of dynamical simulations were performed for the gauge group SU(2) using the Wilson gauge action on 8^3x8 and 16^3x32…

High Energy Physics - Lattice · Physics 2010-11-05 Michael G. Endres

The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral…

High Energy Physics - Lattice · Physics 2008-11-26 G. Fleming , J. Kogut , P. Vranas

Lattice N=1 super-Yang-Mills theory formulated using Ginsparg-Wilson fermions provides a rigorous non-perturbative definition of the continuum theory that requires no fine-tuning as the lattice spacing is reduced to zero. Domain wall…

High Energy Physics - Lattice · Physics 2009-02-26 Joel Giedt , Richard Brower , Simon Catterall , George T. Fleming , Pavlos Vranas

Supersymmetry, like Poincare symmetry, is softly broken at finite lattice spacing provided the gaugino mass term is strongly suppressed. Domain wall fermions provide the mechanism for suppressing this term by approximately imposing chiral…

High Energy Physics - Lattice · Physics 2009-10-31 George T. Fleming

Supersymmetry, like Poincare symmetry, is softly broken at finite lattice spacing provided the gaugino mass term is strongly suppressed. Domain wall fermions provide the mechanism for suppressing this term by approximately imposing chiral…

High Energy Physics - Lattice · Physics 2007-05-23 George T. Fleming

We consider the lattice regularization of N=1 supersymmetric Yang--Mills theory with Wilson fermions. This formulation breaks supersymmetry at any finite lattice spacing; we discuss how Ward identities can be used to define a supersymmetric…

High Energy Physics - Lattice · Physics 2009-10-30 A. Donini , M. Guagnelli , P. Hernandez , A. Vladikas

We present work in progress on employing domain wall fermions to simulate N=1 supersymmetric Yang-Mills theories on the lattice in d=4 and d=3 dimensions. The geometrical nature of domain wall fermions gives simple insights into how to…

High Energy Physics - Lattice · Physics 2011-04-15 David B. Kaplan , Martin Schmaltz

We present results from lattice simulations of ${\cal N}=2$ super Yang-Mills theory in two dimensions. The lattice formulation we use was developed in \cite{2dpaper} and retains both gauge invariance and an exact (twisted) supersymmetry for…

High Energy Physics - Lattice · Physics 2009-11-11 Simon Catterall

Supersymmetry provides a well-established theoretical framework for extensions of the standard model of particle physics and the general understanding of quantum field theories. We summarise here our investigations of N=1 supersymmetric…

High Energy Physics - Lattice · Physics 2016-04-20 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

In the present work we analyse $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills (SYM) theory in two dimensions by means of lattice simulations. The theory arises as dimensional reduction of $\mathcal{N}=1$ SYM theory in four dimensions. As in…

High Energy Physics - Lattice · Physics 2019-03-19 D. August , M. Steinhauser , B. H. Wellegehausen , A. Wipf

By numerically investigating the conservation law of the supercurrent, we confirm the restoration of supersymmetry in Sugino's lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a…

High Energy Physics - Lattice · Physics 2009-02-02 Issaku Kanamori , Hiroshi Suzuki

We report the results of a numerical simulation of a lattice formulation of the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and Taniguchi. We measure the 1-point functions and 2-point functions. The scenario is that…

High Energy Physics - Lattice · Physics 2009-04-14 Hidenori Fukaya , Issaku Kanamori , Hiroshi Suzuki , Tomohisa Takimi

We formulate ${\cal N}$=1 super Yang-Mills theory in 3+1 dimensions on a two dimensional transverse lattice using supersymmetric discrete light cone quantization in the large-$N_c$ limit. This formulation is free of fermion species…

High Energy Physics - Lattice · Physics 2009-11-10 Motomichi Harada , Stephen Pinsky

We summarize our investigations of several aspects of $\mathcal{N}=1$ supersymmetric Yang-Mills (SYM) theory. We present our final results for SU(3) $\mathcal{N}=1$ SYM simulated with Wilson fermions. We also discuss the first test of the…

High Energy Physics - Lattice · Physics 2020-01-28 Sajid Ali , Georg Bergner , Henning Gerber , Camilo López , Istvan Montvay , Gernot Münster , Stefano Piemonte , Philipp Scior

The behavior of supersymmetric theories at finite temperatures differs from that of other theories in certain aspects. Due to the different thermal statistics of bosons and fermions, supersymmetry is explicitly broken for any non-zero value…

High Energy Physics - Lattice · Physics 2015-01-13 G. Bergner , P. Giudice , G. Münster , S. Piemonte , D. Sandbrink

This talk is an overview of our recent investigations of supersymmetric and near conformal gauge theories. We have studied extensively $\mathcal{N}=1$ super Yang-Mills theory, most recently with the gauge group SU(3). In addition we have…

High Energy Physics - Lattice · Physics 2018-11-06 Georg Bergner , Stefano Piemonte

In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the $\mathcal{N}=2$…

High Energy Physics - Lattice · Physics 2022-12-07 Georg Bergner , Juan Camilo Lopez , Stefano Piemonte , Ivan Soler Calero

We illustrate some physical application of a lattice formulation of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric SU(2) Yang-Mills theory with a (small) supersymmetry breaking scalar mass. Two aspects, power-like behavior of…

High Energy Physics - Lattice · Physics 2009-02-18 Issaku Kanamori , Hiroshi Suzuki
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