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In a numerical Monte Carlo simulation of SU(2) Yang-Mills theory with dynamical gauginos we find evidence for two degenerate ground states at the supersymmetry point corresponding to zero gaugino mass. This is consistent with the expected…

High Energy Physics - Lattice · Physics 2007-05-23 R. Kirchner , S. Luckmann , I. Montvay , K. Spanderen , J. Westphalen

We report on recent progress in the use of string techniques for the computation of field theory amplitudes. We show how one-loop renormalization constants in Yang-Mills theory can be computed using the open spinning string, we review the…

High Energy Physics - Theory · Physics 2007-05-23 P. Di Vecchia , L. Magnea , R. Marotta , A. Lerda , R. Russo

We present high-precision lattice calculations of the thermodynamics of Yang-Mills theories with different gauge groups. In the confining phase, we show that the equation of state is described remarkably well by a gas of massive,…

High Energy Physics - Lattice · Physics 2015-10-06 Alessandro Nada

In this article we summarise our results from numerical simulations of $\mathcal{N}=1$ supersymmetric Yang-Mills theory with gauge group SU(3). We use the formulation of Curci and Veneziano with clover-improved Wilson fermions. The masses…

High Energy Physics - Lattice · Physics 2018-04-18 Sajid Ali , Georg Bergner , Henning Gerber , Pietro Giudice , Gernot Münster , Istvan Montvay , Stefano Piemonte , Philipp Scior

Quantum simulators built from ultracold atoms promise to study quantum phenomena in interacting many-body systems. However, it remains a challenge to experimentally prepare strongly correlated continuous systems such that the properties are…

We discuss recent results obtained from simulations of high temperature, classical, real time dynamics of SU(2) Yang-Mills theory at temperatures of the order of the electroweak scale. Measurements of gauge covariant and gauge invariant…

High Energy Physics - Lattice · Physics 2015-06-25 J. Ambjorn , K. N. Anagnostopoulos , A. Krasnitz

Monte Carlo simulation results for unitary matrix quantum mechanics, describing two-dimensional Yang-Mills theory coupled to a finite density of non-dynamical quarks (adjoint Coulomb gas), are presented. We characterize the deconfining…

High Energy Physics - Theory · Physics 2015-02-02 Omid Saremi

We review some recent results on the calculation of renormalization constants in Yang-Mills theory using open bosonic strings. The technology of string amplitudes, supplemented with an appropriate continuation off the mass shell, can be…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Di Vecchia , Alberto Lerda , Lorenzo Magnea , Raffaele Marotta , Rodolfo Russo

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

We review the application of bosonic string techniques to the calculation of renormalization constants and effective actions in Yang-Mills theory. We display the multiloop string formulas needed to compute Yang-Mills amplitudes, and we…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Di Vecchia , Alberto Lerda , Lorenzo Magnea , Raffaele Marotta , Rodolfo Russo

A very simple variational approach to pure SU($N$) Yang-Mills theory is proposed, based on the Gaussian effective potential in a linear covariant gauge. The method provides an analytical variational argument for mass generation. The method…

High Energy Physics - Phenomenology · Physics 2018-03-21 Giorgio Comitini , Fabio Siringo

A Hamiltonian analysis of Yang-Mills (YM) theory in (2+1) dimensions with a level $k$ Chern-Simons term is carried out using a gauge invariant matrix parametrization of the potentials. The gauge boson states are constructed and the…

High Energy Physics - Theory · Physics 2015-06-26 Dimitra Karabali , Chanju Kim , V. P. Nair

In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical…

High Energy Physics - Lattice · Physics 2014-12-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We present a novel lattice calculation of the equation of state of SU(2) Yang-Mills theory in the confining phase. We show that a gas of massive, non-interacting glueballs describes remarkably well the results, provided that a bosonic…

High Energy Physics - Lattice · Physics 2016-07-20 Michele Caselle , Alessandro Nada , Marco Panero

Motivated by the similarity to QCD, specifically the property of asymptotic freedom, we simulate the dynamics of the SU(2) $\times$ SU(2) model in two dimensions using the Hybrid Monte Carlo algorithm. By introducing Fourier Acceleration,…

High Energy Physics - Lattice · Physics 2024-01-04 Roger Horsley , Brian Pendleton , Julian Wack

The Wilson discretization of the dimensionally reduced supersymmetric Yang-Mills theory is constructed. This gives a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for…

High Energy Physics - Theory · Physics 2007-05-23 R. A. Janik , J. Wosiek

Non-abelian gauge theories play an important role in the standard model of particle physics, and unfold a partially unexplored world of exciting physical phenomena. In this letter, we suggest a realization of a non-abelian lattice gauge…

Quantum Physics · Physics 2013-03-25 Erez Zohar , J. Ignacio Cirac , Benni Reznik

We perform Monte Carlo simulations of a supersymmetric matrix model, which is obtained by dimensional reduction of 4D SU(N) super Yang-Mills theory. The model can be considered as a four-dimensional counterpart of the IIB matrix model. We…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , K. N. Anagnostopoulos , W. Bietenholz , T. Hotta , J. Nishimura

The thermodynamics of $SU(2)$ Yang-Mills theory in the covariant variational approach is studied by relating the free action density in the background of a non-trivial Polyakov loop to the pressure of the gluon plasma. The correct…

High Energy Physics - Theory · Physics 2017-10-11 Markus Quandt , Hugo Reinhardt

In this thesis, we studied a Gaussian approximation to the bosonic part of the BFSS matrix model using Monte Carlo simulations based on the Metropolis algorithm. We reproduce with great accuracy the stringy Hagedorn phase transition from a…

High Energy Physics - Theory · Physics 2022-09-30 Abdelhamid Haddad , Badis Ydri
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