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We present a high-precision lattice calculation of the equation of state in the confining phase of SU(2) Yang-Mills theory. We show that the results are described very well by a gas of massive, non-interacting glueballs, provided one…

高能物理 - 格点 · 物理学 2017-10-31 Michele Caselle , Alessandro Nada , Marco Panero

Using the standard saddle-point method, we find an explicit relation for the large-N limit of the free energy of an arbitrary generalized 2D Yang-Mills theory in the weak ($A<A_c$) region. In the strong ($A>A_c$) region, we investigate…

高能物理 - 理论 · 物理学 2009-10-30 M. Alimohammadi , M. Khorrami , A. Aghamohammdi

We have substantially extended the high-temperature and low-magnetic-field (and the related low-temperature and high-magnetic-field) bivariate expansions of the free energy for the conventional three-dimensional Ising model and for a…

高能物理 - 格点 · 物理学 2011-06-15 P. Butera , M. Pernici

The width of the quantum delocalization of the QCD strings is investigated in effective string models beyond free Nambu-Goto approximation. We consider two Lorentzian-invariant boundary-terms in the L\"uscher-Weisz string action in addition…

高能物理 - 格点 · 物理学 2020-02-28 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , A. M. Khalaf , M. Khalil William

This is the second part in a four-paper sequence, which establishes the Threshold Conjecture and the Soliton Bubbling vs.~Scattering Dichotomy for the hyperbolic Yang--Mills equation in the $(4+1)$-dimensional space-time. This paper…

偏微分方程分析 · 数学 2021-03-31 Sung-Jin Oh , Daniel Tataru

We propose and study at large N a new lattice gauge model , in which the Yang-Mills interaction is induced by the heavy scalar field in adjoint representation. At any dimension of space and any $ N $ the gauge fields can be integrated out…

高能物理 - 理论 · 物理学 2009-10-22 V. A. Kazakov , A. A. Migdal

We calculate the energy of a Yang-Mills vortex as function of its magnetic flux or, else, of the Wilson loop surrounding the vortex center. The calculation is performed in the 1-loop approximation. A parallel with a potential as function of…

高能物理 - 理论 · 物理学 2009-10-31 Dmitri Diakonov

The problem of identifying the dynamical degrees of freedom for SU(2) gauge theories is discussed. After studying SU(N) theories, it is shown that classical pure SU(2) gauge theory is equivalent to an abelian theory. Finally, we prove that…

高能物理 - 理论 · 物理学 2007-05-23 O. Oliveira

We study a model of quantum Yang-Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space-time is a two dimensional cylinder. We…

高能物理 - 理论 · 物理学 2011-07-19 K. S. Gupta , R. J. Henderson , S. G. Rajeev , O. T. Turgut

We propose an alternative method to study the saddle point equation in the strong coupling limit for the Wilson loop in $\mathcal{N}=2$ D=4 super Yang-Mills with an SU(N) gauge group and 2N hypermultiplets. This method is based on an…

高能物理 - 理论 · 物理学 2015-06-03 Jean-Emile Bourgine

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…

量子物理 · 物理学 2013-03-25 Erez Zohar , J. Ignacio Cirac , Benni Reznik

The stable chromomagnetic vacuum for SU(2) Yang-Mills theory found earlier is shown to give a model for confinement in QCD, using Wilson loop, and a linear potential (in the leading order) for quark-antiquark interaction. The coefficient…

高能物理 - 理论 · 物理学 2015-05-18 R. Parthasarathy

Gluon and quark contributions to the thermodynamic potential (free energy) of a (2+1)-dimensional QCD model at finite temperature in the background of a constant homogeneous chromomagnetic field H combined with A_0 condensate are…

高能物理 - 唯象学 · 物理学 2009-10-31 V. Ch. Zhukovsky , V. V. Khudyakov

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

高能物理 - 格点 · 物理学 2010-11-01 Howard D. Trottier , R. M. Woloshyn

The molecular distributions obtained from canonical Monte Carlo simulations can be used to find an approximate interaction energy. This serves as the basis of a method for estimating the binding free energy for a ligand to a protein which…

化学物理 · 物理学 2007-05-23 Charles F. F. Karney , Jason E. Ferrara , Clay D. Spence

We calculate the scattering cross section between two $0^{++}$ glueballs in $SU(2)$ Yang-Mills theory on lattice at $\beta = 2.1, 2.2, 2.3, 2.4$, and 2.5 using the indirect (HAL QCD) method. We employ the cluster-decomposition error…

高能物理 - 格点 · 物理学 2020-09-23 Nodoka Yamanaka , Hideaki Iida , Atsushi Nakamura , Masayuki Wakayama

We study the real-time evolution of SU($2$) Yang-Mills theory in a $(3+1)$ dimensional small lattice system after interaction quench. We numerically solve the Schr{\"o}dinger equation with the Kogut-Susskind Hamiltonian in the physical…

高能物理 - 格点 · 物理学 2021-05-19 Tomoya Hayata , Yoshimasa Hidaka

We measure the vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory using lattice simulation. The obtained vacuum energy density is E_0=0.09(9)(+10-8) g^2, where the first error is the systematic and the second is the…

高能物理 - 格点 · 物理学 2009-07-09 Issaku Kanamori

We examine in non-Abelian gauge theory the heavy quark limit in the presence of the (anti-)self-dual homogeneous background field and see that a confining potential emerges, consistent with the Wilson criterion, although the potential is…

高能物理 - 理论 · 物理学 2009-10-31 G. V. Efimov , A. C. Kalloniatis , S. N. Nedelko

Consider a Yang-Mills connection over a Riemann manifold $M=M^n$, $n\ge 3$, where $M$ may be compact or complete. Then its energy must be bounded from below by some positive constant, if $M$ satisfies certain conditions, unless the…

微分几何 · 数学 2011-03-28 Claus Gerhardt