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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

We extend our analysis of bound states in $\mathcal{N}=1$ supersymmetric Yang-Mills theory by the consideration of baryonic operators, which are composed of three gluino fields. The corresponding states are similar to the baryons in QCD,…

High Energy Physics - Lattice · Physics 2023-07-26 Sajid Ali , Georg Bergner , Camilo Lopez , Istvan Montvay , Gernot Münster , Stefano Piemonte

The present paper is the first installment where, extending our previous work in pure Yang-Mills (YM) theory, we compute the generating functional of correlators of collinear twist-$2$ operators that enter the components of balanced…

High Energy Physics - Theory · Physics 2025-01-28 Marco Bochicchio , Mauro Papinutto , Francesco Scardino

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them…

High Energy Physics - Theory · Physics 2019-06-26 M. Billo , F. Fucito , G. P. Korchemsky , A. Lerda , J. F. Morales

We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4…

High Energy Physics - Theory · Physics 2010-04-05 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

We derive three-dimensional, Z(N)-symmetric effective actions in terms of Polyakov loops by means of strong coupling expansions, starting from thermal SU(N) Yang-Mills theory in four dimensions on the lattice. An earlier action in the…

High Energy Physics - Lattice · Physics 2011-11-11 Jens Langelage , Stefano Lottini , Owe Philipsen

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we…

High Energy Physics - Phenomenology · Physics 2018-03-20 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

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

The strong coupling behavior of finite temperature free energy in N=4 supersymmetric SU(N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on…

High Energy Physics - Theory · Physics 2009-12-30 A. Fotopoulos , T. R. Taylor

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

Maximally supersymmetric Yang--Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its…

High Energy Physics - Lattice · Physics 2014-09-12 Simon Catterall , Poul H. Damgaard , Thomas DeGrand , Joel Giedt , David Schaich

In this article, subleading (in $1/N$) corrections to the action of the one loop dilatation operator in the su(3) sector of $\mathcal{N}=4$ super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton…

High Energy Physics - Theory · Physics 2022-06-17 Chenliang Su

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We study four dimensional large-N SU(N) Yang-Mills theory coupled to adjoint overlap fermions on a single site lattice. Lattice simulations along with perturbation theory show that the bare quark mass has to be taken to zero as one takes…

High Energy Physics - Lattice · Physics 2011-07-14 A. Hietanen , R. Narayanan

We apply strong-coupling expansion techniques to finite-temperature lattice pure gauge theory, obtaining dimensionally reduced $Z_N$-symmetric effective theories. The analytic mappings between the effective couplings and the original one,…

High Energy Physics - Lattice · Physics 2011-11-08 Stefano Lottini , Owe Philipsen , Jens Langelage

We consider four-point functions of protected, double- and single-trace operators in the large central charge limit. We use superconformal symmetry to disentangle the contribution of protected operators in the partial wave decomposition.…

High Energy Physics - Theory · Physics 2024-12-30 Agnese Bissi , Giulia Fardelli , Andrea Manenti

Causality on the gravity side of the AdS/CFT correspondence restricts motion on the moduli space of the N=4 super Yang Mills theory by imposing a speed limit on how fast the scalar field may roll. This effect can be traced to higher…

High Energy Physics - Theory · Physics 2008-11-26 Eva Silverstein , David Tong

The ${\cal N} = 2^*$ Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric ${\cal N} = 4$ Yang-Mills theory. This theory also takes part in the AdS/CFT correspondence…

High Energy Physics - Lattice · Physics 2018-04-18 Anosh Joseph

We study the two-dimensional Yang--Mills theory with four supercharges in the large-$N$ limit. By using thermal boundary conditions, we analyze the internal energy and the distribution of scalars. We compare their behavior to the maximally…

High Energy Physics - Lattice · Physics 2022-05-20 Navdeep Singh Dhindsa , Raghav G. Jha , Anosh Joseph , David Schaich

We compute the leading order perturbative correction to the static potential in ${\cal N}=4$ supersymmetric Yang-Mills theory. We show that the perturbative expansion contains infrared logarithms which, when resummed, become logarithms of…

High Energy Physics - Theory · Physics 2009-10-31 J. K. Erickson , G. W. Semenoff , R. J. Szabo , K. Zarembo
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