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Recently, new theoretical ideas have allowed the construction of lattice actions which are explicitly invariant under one or more supersymmetries. These theories are local and free of doublers and in the case of Yang-Mills theories also…

High Energy Physics - Lattice · Physics 2010-11-05 Simon Catterall

We report on an investigation into the low energy dynamics of walking gauge theory. Taking $SU(3)$ Yang Mills with eight flavors of fundamental fermions as an example, we discuss the light flavor singlet scalar appearing in the spectrum and…

High Energy Physics - Lattice · Physics 2017-02-09 Andrew D. Gasbarro , George T. Fleming

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two lattice matching technique recently advocated and exploited in [arXiv:0907.0919], we measure…

High Energy Physics - Phenomenology · Physics 2011-03-18 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

We present the first numerical implementation of the minimal Landau background gauge for Yang-Mills theory on the lattice. Our approach is a simple generalization of the usual minimal Landau gauge and is formulated for general SU(N) gauge…

High Energy Physics - Lattice · Physics 2013-05-30 Attilio Cucchieri , Tereza Mendes

We provide the first determination of the mass of the lightest flavor-singlet pseudoscalar and scalar bound states (mesons), in the $\rm{Sp}(4)$ Yang-Mills theory coupled to two flavors of fundamental fermions, using lattice methods. This…

High Energy Physics - Lattice · Physics 2023-11-29 Ed Bennett , Ho Hsiao , Jong-Wan Lee , Biagio Lucini , Axel Maas , Maurizio Piai , Fabian Zierler

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

We present an improved study of spectroscopic observables in the $SU(2)$ Yang-Mills theory with two adjoint fermions. We make an improvement on the precision of previous results which clarify the scale of finite volume effects present. This…

Certain classes of supersymmetric gauge theories, including the well known N=4 supersymmetric Yang-Mills theory, that takes part in the AdS/CFT correspondence, can be formulated on a Euclidean spacetime lattice using the techniques of exact…

High Energy Physics - Lattice · Physics 2014-10-01 Anosh Joseph

Numerical simulations of supersymmetric theories on the lattice are intricate and challenging with respect to their theoretical foundations and algorithmic realisation. Nevertheless, the simulations of a four-dimensional supersymmetric…

High Energy Physics - Lattice · Physics 2013-11-08 Georg Bergner , Istvan Montvay , Gernot Münster , Dirk Sandbrink , Umut D. Özugurel

In this article we summarize our efforts in simulating Yang-Mills theories coupled to matter fields transforming under the fundamental and adjoint representations of the gauge group. In the context of composite Higgs scenarios, gauge…

High Energy Physics - Lattice · Physics 2021-01-13 Georg Bergner , Stefano Piemonte

We present an entirely new approach towards a realization of the supersymmetric Yang-Mills theory on the lattice. The action consists of the staggered fermion and the plaquette variables distributed in the Euclidean space with a particular…

High Energy Physics - Lattice · Physics 2009-11-07 Katsumi Itoh , Mitsuhiro Kato , Hideyuki Sawanaka , Hiroto So , Naoya Ukita

We formulate ${\cal N} = 2^*$ supersymmetric Yang-Mills theory on a Euclidean spacetime lattice using the method of topological twisting. The lattice formulation preserves one scalar supersymmetry charge at finite lattice spacing. The…

High Energy Physics - Lattice · Physics 2018-06-06 Anosh Joseph

This work is a step towards merging the ideas that arise from semi-classical methods in continuum QFT with analytic/numerical lattice field theory. In this context, we consider Yang-Mills theories coupled to fermions in the adjoint…

High Energy Physics - Lattice · Physics 2018-12-05 Georg Bergner , Stefano Piemonte , Mithat Ünsal

We study the path behavior of the symmetric walk on some special comb-type subsets of ${\mathbb Z}^2$ which are obtained from ${\mathbb Z}^2$ by generalizing the comb having finitely many horizontal lines instead of one.

Probability · Mathematics 2022-07-01 Endre Csáki , Antónia Földes

Recent development in numerical simulations of supersymmetric Yang-Mills (SYM) theories on the lattice is reviewed.

High Energy Physics - Lattice · Physics 2008-11-26 I. Montvay

We present our ongoing work on two-dimensional maximally supersymmetric Yang-Mills (2D MSYM) theory using lattice techniques. The continuum theory is obtained from the dimensional reduction of four-dimensional ${\mathcal N} = 4$…

High Energy Physics - Lattice · Physics 2026-03-30 Bana Singh Sangtan , Anosh Joseph , David Schaich

We propose a discretization of two dimensional Euclidean Yang-Mills theories with N=2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach starts from the twisted form of the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Catterall

We provide details of the lattice construction of five-dimensional maximally supersymmetric Yang-Mills theory. The lattice theory is supersymmetric, gauge invariant and free from spectrum doublers. Such a supersymmetric lattice formulation…

High Energy Physics - Lattice · Physics 2016-10-12 Anosh Joseph

We summarise the latest results of our collaboration concerning N=1 supersymmetric Yang-Mills theory in four dimensions on the lattice. We investigate the expected formation of supersymmetric multiplets of the lightest particles and the…

High Energy Physics - Lattice · Physics 2014-11-07 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Umut D. Özugurel , Stefano Piemonte , Dirk Sandbrink

Within the context of a String Theory dual to N=1 gauge theories with gauge group SU(Nc) and large Nc, we identify a class of solutions of the background equations for which a suitably defined dual of the gauge coupling exhibits the…

High Energy Physics - Theory · Physics 2011-06-24 Carlos Nunez , Ioannis Papadimitriou , Maurizio Piai
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