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We report on new results for the low lying spectrum of N=1 SUSY Yang-Mills Theory with SU(2) as the gauge group. Simulating on larger lattices at \kappa = 0.194 and \beta = 2.3, we slowly approach the supersymmetric limit at m_{gluino} = 0.

高能物理 - 格点 · 物理学 2010-12-23 R. Peetz , F. Farchioni , C. Gebert , G. Münster

We propose a new version of SU(N) Yang-Mills theory reformulated in terms of new field variables which are obtained by a nonlinear change of variables from the original Yang-Mills gauge field. The reformulated Yang-Mills theory enables us…

高能物理 - 理论 · 物理学 2008-11-26 Kei-Ichi Kondo , Toru Shinohara , Takeharu Murakami

A doublet of three-dimensional Dirac fermions can effectively describe the low energy spectrum of a fermionic cubic lattice. We employ this fermion doubling to encode a non-Abelian SU(2) charge in the fundamental representation. We…

强关联电子 · 物理学 2009-08-18 Paolo Maraner , Jiannis K. Pachos

Based on the chiral symmetry breaking pattern and the corresponding low-energy effective lagrangian, we determine the fermion mass dependence of the partition function and derive sum rules for eigenvalues of the QCD Dirac operator in finite…

高能物理 - 理论 · 物理学 2008-11-26 A. Smilga , J. Verbaarschot

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…

高能物理 - 理论 · 物理学 2008-11-26 E. Gabrielli , A. Gonzalez-Arroyo , C. Pena

We propose the reformulations of the $SU(N)$ Yang-Mills theory toward quark confinement and mass gap. In fact, we have given a new framework for reformulating the $SU(N)$ Yang-Mills theory using new field variables. This includes the…

高能物理 - 理论 · 物理学 2014-12-30 Kei-Ichi Kondo , Seikou Kato , Akihiro Shibata , Toru Shinohara

The one-loop effective energy density of a pure SU(2) Yang-Mills theory in the Savvidy background, at finite temperature and chemical potential is examined with emphasis on the unstable modes. After identifying the stable and unstable…

高能物理 - 理论 · 物理学 2008-11-26 R. Parthasarathy , Alok Kumar

Albeit the standard model is the most successful model of particles physics, it still has some theoretical shortcomings, for instance the hierarchy problem, the absence of dark matter, etc. Supersymmetric extensions of the standard model…

高能物理 - 格点 · 物理学 2016-11-03 Daniel August , Björn Wellegehausen , Andreas Wipf

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…

高能物理 - 理论 · 物理学 2009-10-28 Alex C. Kalloniatis

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…

高能物理 - 理论 · 物理学 2022-03-24 Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca

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…

高能物理 - 唯象学 · 物理学 2011-03-18 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

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…

高能物理 - 格点 · 物理学 2017-02-09 Andrew D. Gasbarro , George T. Fleming

The variables appropriate for the infrared limit of unconstrained SU(2) Yang-Mills field theory are obtained in the Hamiltonian formalism. It is shown how in the infrared limit an effective nonlinear sigma model type Lagrangian can be…

高能物理 - 理论 · 物理学 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

The unconstrained system equivalent to SU(2) Yang-Mills field theory is obtained in the framework of the generalized Hamiltonian formalism using the method of Hamiltonian reduction. The reduced system is expressed in terms of fields which…

高能物理 - 理论 · 物理学 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

We consider the dynamics of a probe fermion charged under a U(1) Maxwell field and a two form potential $B_{(2)}$ in a five dimensional gravity background. The gravity background is constructed from a new solution we find of type IIB…

高能物理 - 理论 · 物理学 2010-02-25 Tameem Albash

New results on the topology of the SU(2) Yang-Mills theory are presented. At zero temperature we obtain the value of the topological susceptibility by using the recently introduced smeared operators as well as a properly renormalized…

高能物理 - 格点 · 物理学 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner

In this paper we discuss the BRST-quantization of anomalous 2d-Yang Mills (YM) theory. Since we use an oscillator basis for the YM-Fock-space the anomaly appears already for a pure YM-system and the constraints form a Kac-Moody algebra with…

高能物理 - 理论 · 物理学 2011-07-19 Wolfgang Kalau

The method of reduction of a non-Abelian gauge theory to the corresponding unconstrained system is exemplified for SU(2) Yang-Mills field theory. The reduced Hamiltonian which describes the dynamics of the gauge invariant variables is…

高能物理 - 理论 · 物理学 2007-05-23 A. M. Khvedelidze , H. -P. Pavel

We explore how the thermal ground states of two mixing and pure SU(2) Yang-Mills theories, SU(2)$_{\tiny\mbox{CMB}}$ of scale $\Lambda_{\tiny\mbox{CMB}}\sim 10^{-4}\,$eV and SU(2)$_{e}$ of scale $\Lambda_{e}\sim 5\times 10^5\,$eV, associate…

综合物理 · 物理学 2015-08-25 Ralf Hofmann

In this short note we review the interpretation of the spectral action for the Yang-Mills system in noncommutative geometry as a higher-derivative gauge theory, adopting an asymptotic expansion in a cutoff parameter. We recall our previous…

高能物理 - 理论 · 物理学 2011-10-12 Walter D. van Suijlekom