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We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum mechanics in the context of superstring theory. Numerical data…

High Energy Physics - Theory · Physics 2010-11-08 Masanori Hanada

We compute the static potential of adjoint sources in SU(2) Yang-Mills theory in four dimensions by numerical Monte Carlo simulations. Following a recent calculation in 2+1 dimensions, we employ a variational approach involving string and…

High Energy Physics - Lattice · Physics 2011-05-05 Ph. de Forcrand , O. Philipsen

We show that, within the framework of suitably chosen approximate effective actions it is possible to evaluate analytically the string tension, the spacelike string tension and the deconfinement temperature of (2+1) dimensional lattice…

High Energy Physics - Lattice · Physics 2009-10-28 M. Caselle

We put forward the Axionic String Ansatz (ASA), which provides a unified description for the worldsheet dynamics of confining strings in pure Yang--Mills theory both in $D=3$ and $D=4$ space-time dimensions. The ASA is motivated by the…

High Energy Physics - Theory · Physics 2017-03-08 Sergei Dubovsky , Guzman Hernandez-Chifflet

The spectrum of the lightest bound states in N=1 supersymmetric Yang-Mills theory with SU(2) gauge group, calculated on the lattice, is presented. The masses have first been extrapolated towards vanishing gluino mass and then to the…

High Energy Physics - Lattice · Physics 2016-11-01 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations. In contrast to small-volume lattice truncations of the Hilbert space, we employ toroidal dimensional reduction to the ``femtouniverse"…

High Energy Physics - Lattice · Physics 2022-11-22 Nouman Butt , Patrick Draper , Jiayu Shen

We apply the pseudoparticle approach to SU(2) Yang-Mills theory and perform a detailed study of the potential between two static charges for various representations. Whereas for charges in the fundamental representation we find a linearly…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian Szasz , Marc Wagner

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

A previously introduced multi-boson technique for the simulation of QCD with dynamical quarks is described and some results of first test runs on a $6^3\times12$ lattice with Wilson quarks and gauge group SU(2) are reported.

High Energy Physics - Lattice · Physics 2009-10-22 B. Bunk , K. Jansen , B. Jegerlehner , M. Lüscher , H. Simma , R. Sommer

We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures…

High Energy Physics - Theory · Physics 2022-03-24 Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca

SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis

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 use an analogy between the Yang-Mills theory Hamiltonian and the matrix model description of the closed bosonic membrane theory to calculate the spectrum of glueballs in the large $N_c$ limit. Some features of the Yang-Mills theory…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gregory Gabadadze

We make progress towards a derivation of a low energy effective theory for SU(2) Yang-Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking proper care of the Slavnov-Taylor identities…

High Energy Physics - Theory · Physics 2019-02-20 A. N. Efremov

We present intermediate results of an ongoing investigation which attempts a generalization of the well known one-loop Bern Kosower rules of Yang-Mills theory to higher loop orders. We set up a general procedure to extract the field…

High Energy Physics - Theory · Physics 2007-05-23 Boris Kors , Michael G. Schmidt

We determine the gluino condensate $< \Tr \lambda^2 >$ in the pure ${\cal N}=1$ super Yang-Mills theory (SYM) for the classical gauge groups $SU(r+1)$, $SO(2r+1)$, $USp(2r)$ and $SO(2r)$, by deforming the pure ${\cal N}=2$ SYM theory with…

High Energy Physics - Theory · Physics 2009-11-10 K. Konishi , A. Ricco

We study the Polyakov line in Yang-Mills matrix models, which include the IKKT model of IIB string theory. For the gauge group SU(2) we give the exact formulae in the form of integral representations which are convenient for finding the…

High Energy Physics - Theory · Physics 2009-11-10 Peter Austing , Graziano Vernizzi , John F. Wheater

The distribution of the gluon action density in mesonic systems is investigated at finite temperature. The simulations are performed in quenched QCD for two temperatures below the deconfinment phase. Unlike the gluonic profiles displayed at…

High Energy Physics - Lattice · Physics 2015-03-14 A. S. Bakry , D. B. Leinweber , P. J. Moran , A. Sternbeck , A. G. Williams

We carry out a systematic study of the effective bosonic string describing confining flux tubes in $\mathrm{SU}(N)$ Yang--Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are…

High Energy Physics - Lattice · Physics 2024-09-04 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

Two-dimensional non-abelian quantum field models provide a useful laboratory for analytic and numerical investigations of quantum theories with gauge symmetry. They can exhibit various features, such as charge confinement, which are known…

High Energy Physics - Lattice · Physics 2015-03-19 Piotr Korcyl , Mateusz Koren