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We review our recent work on the glueball spectrum of pure Yang-Mills theory in 2+1 dimensions. The calculations make use of Karabali-Nair corner variables in the Hamiltonian formalism, and involve a determination of the leading form of the…

高能物理 - 理论 · 物理学 2009-11-13 R. G. Leigh , D. Minic , A. Yelnikov

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new non-trivial expression for the (quasi)Gaussian part…

高能物理 - 理论 · 物理学 2008-11-26 Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

We analytically compute the spectrum of the spin zero glueballs in the planar limit of pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by our computation of a new non-trivial form of the ground state…

高能物理 - 理论 · 物理学 2008-11-26 Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

In this note we discuss the wave functional approach to the spectrum of pure Yang-Mills theory in 2+1 and 3+1 dimensions by highlighting the issues of dynamical mass generation and the role played by the kinetic term. We extrapolate our…

高能物理 - 理论 · 物理学 2008-01-09 Laurent Freidel , Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

I present numerical tests of several recent proposals for the Yang-Mills vacuum wavefunctional in D=2+1 dimensions. In these tests the predicted relative values of the squared wavefunctional, evaluated on a finite set of abelian plane wave…

高能物理 - 格点 · 物理学 2011-12-02 J. Greensite

A method of measuring relative probabilities of various gauge-field configurations in the Yang-Mills vacuum was proposed long ago [Phys. Lett. B 223 (1989) 207]. We applied this method to compute the square of the YM vacuum wave functional…

高能物理 - 格点 · 物理学 2014-03-26 Jeff Greensite , Stefan Olejnik

We describe a nonperturbative calculation of the spectrum of SU(2) Yang-Mills theory based on a Hamiltonian formulation. Our approach exploits gauge invariant variables similar to those used in nuclear physics to describe collective motion…

高能物理 - 唯象学 · 物理学 2009-10-28 C. Martin , D. Vautherin

We investigate the spectrum of the lightest states of N=1 Super Yang-Mills. We first study the spectrum using the recently extended Veneziano Yankielowicz theory containing also the glueball states besides the gluinoball ones. Using a…

高能物理 - 理论 · 物理学 2010-12-03 A. Feo , P. Merlatti , F. Sannino

Relying on an effective-string approach in which glueballs --- bound states of pure Yang-Mills theory --- are modelled by closed strings, we give arguments suggesting that anyonic glueballs, \textit{i.e.} glueballs with arbitrary spin, may…

高能物理 - 理论 · 物理学 2016-02-02 Fabien Buisseret , Nicolas Boulanger

We give a comparison of the spectrum of Yang-Mills theory in $D=3+1$, recently derived with a strong coupling expansion, with lattice data. We verify excellent agreement also for 2$^{++}$ glueball. A deep analogy with the $D=2+1$ case is…

高能物理 - 理论 · 物理学 2007-06-28 Marco Frasca

We investigate in detail a 2-level algorithm for the computation of 2-point functions of fuzzy Wilson loops in lattice gauge theory. Its performance and the optimization of its parameters are described in the context of 2+1D SU(2)…

高能物理 - 格点 · 物理学 2009-11-10 Harvey B. Meyer

A gauge-invariant wavefunctional is proposed as an approximation to the ground state of Yang-Mills theory in 2+1 dimensions, quantized in temporal gauge. The proposed vacuum state is the true ground state of the appropriate Hamiltonian in…

高能物理 - 格点 · 物理学 2007-09-17 J. Greensite , S. Olejnik

We scrutinize the determination of glueball masses in pure Yang-Mills theory from functional equations, i.e. Dyson-Schwinger and Bethe-Salpeter equations. We survey the state-of-the-art input (dressed propagators and vertices) with an…

高能物理 - 唯象学 · 物理学 2025-03-07 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

Non-perturbative aspects of the physics of $Sp(2N)$ gauge theories are interesting for phenomenological and theoretical reasons, and little studied so far, particularly in the approach to the large-$N$ limit. We examine the spectrum of…

The boundstate problem in 2+1-dimensional large-N Yang-Mills theory is accurately solved using the light-front Hamiltonian of transverse lattice gauge theory. We conduct a thorough investigation of the space of couplings on coarse lattices,…

高能物理 - 格点 · 物理学 2009-10-31 S. Dalley , B. van de Sande

We review a method, suggested many years ago, to numerically measure the relative amplitudes of the true Yang-Mills vacuum wavefunctional in a finite set of lattice-regulated field configurations. The technique is applied in 2+1 dimensions…

高能物理 - 格点 · 物理学 2011-07-04 J. Greensite , H. Matevosyan , S. Olejnik , M. Quandt , H. Reinhardt , A. P. Szczepaniak

Recent progress in understanding (2+1)-dimensional Yang-Mills (YM_{2+1}) theory via the use of gauge-invariant variables is reviewed. Among other things, we discuss the vacuum wavefunction, an analytic calculation of the string tension and…

高能物理 - 理论 · 物理学 2007-05-23 V. P. Nair

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

高能物理 - 格点 · 物理学 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

We derive the glueball masses in noncommutative super Yang--Mills theories in four dimensions via the dual supergravity description. The spectrum of glueball masses is discrete due to the noncommutativity and the glueball masses are…

高能物理 - 理论 · 物理学 2009-11-11 Tadahito Nakajima , Kenji Suzuki , Hidenori Takahashi

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…

高能物理 - 唯象学 · 物理学 2009-10-30 Gregory Gabadadze
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