(2+1)维SU(3)0++胶球波函数

采用截断本征方程的方法,选择连接图作为独立图,计算(2+1)维SU(3)胶球波函数,其μ0F和μ2F表现出较好的标度行为.     

(2+1)-D SU(3)0++ Glueball Wavefunction

Adopting connected graphs as independent graphs, the(2+1)-D SU(3) 0⁺⁺ glueball wavefunction is calculated using scheme of truncating eigenvalue equations.     

2 1维5U(2)0￣( )胶球波函数的四级近似

利用截断本征方程方法计算胶球波函数参数比值，得到良好的标度行为。关键词     

Constituent gluon interpretation of glueballs and gluelumps

Arguments are given that support the interpretation of the lattice QCD glueball and gluelump spectra in terms of bound states of massless constituent gluons with helicity 1. In this scheme, we show that the mass hierarchy of the currently known gluelumps and glueballs is mainly due to the number of constituent gluons and can be understood within a simple flux tube model. It is also argued that the lattice QCD 0^+- glueball should be seen as a four-gluon bound state. We finally predict the mass of the 0^- state, not yet computed in lattice QCD.     

Quark and gluon content of the neutral tensor mesonsf-f′-θ

A careful analysis of the available data on thef,f′ and θ mesons is carried out. It is shown that a coherent mixing scheme for these three mesons is not ruled out by the present data. Several consequences and predictions from this scheme are presented and, in particular, a new methodology for testing the validity of the flavour independence hypothesis for tensor glueball decays is discussed. The ambiguities left open by the present analysis call for better data in “conventional” spectroscopy. In particular, a better knowledge of the γγ, ππ and \(K\bar K\) decay modes of tensor mesons would help very much in clarifying the tensor glueball picture.     

Fourth Order Approximation of(2+1)-D Su(2)0++ Gluball Wavefunction

In this Paper, the Parameter ratio of (2+1)-D SU(2) 0⁺⁺ glueball wavefunctionis calculated using scheme of truncating eigenvalus equations ,The result shows agood scaling behavior.     

Current Situation on the Glueball Research

The current situation on the glueball research is reviewed in this paper.The emphases are some qualitative guidances to identify the glueball and several possible candidate states for the glueball which have been discovered in the experiments.     

用改进的格点哈密顿量计算2+1维SU(3)胶球质量

应用改进的格点哈密顿量和保持连续极限的耦合集团展开方法计算了2+1维SU(3)0⁺和0^－胶球的质量.计算到三级近似,标度行为已经很好.与未改进的格点哈密顿量作的同样近似比较,改进的结果较快地进入标度区,而且标度性也较好.     

NEW MESON MASS RELATION AND LOWEST PSEUDOSCALAR GLUEBALL MASS

After considering its mixing with the glueball, we give a new mass relation for the meson nonet. According to this mass relation and the predicted mass of the pseudoscalar glueball given by lattice calculations and the effective Hamiltonian, the expected mass of the mixed pseudoscalar glueball is about 1.7 GeV. This result is helpful in the experimental search for the mixed isoscalar pseudoscalar glueball. η(1760) is discussed as a possible candidate for this type of particle.     

Calculation of Vacuum Wavefunction and Mass .Gap from Improved (2+l)-Dimensional SU(2) Lattice Gauge Field Hamiltonian

The truncated eigenvalue equation of SU(N) lattice gauge theory is studied by using improved lattice gauge Hamiltonian with a proper truncation scheme that preserves the continuum limit. The calculations of vacuum state wavefunction and glueball mass of (2+1)-dimensional SU(2) theory up to third order are carried out, the results show the improvement of scaling behavior in deep weak coupling region.     

A Lattice Study of the Glueball Spectrum

Glueball Spectrum is studied using an improved gluonic action on asymmetric lattices in the pure SU(3) gauge theory.The smallest spatial lattice spacing is about 0.08 fm which makes the extrapolation to the continuum limit more reliable.In particular.attention is paid to the scalar glueball mass which is known to have problems in the extrapolation.Converting our lattice results to physical units using the scale set by the static quark potential,we obtain the following results for the glueball masses:MG(0 )=1730(90)MeV for the scalar glueball mass and MG(2 )=2400(95)MeV for the tensor glueball.     

Confinement models for gluons

Confinement model for gluons using a ‘colour super current’ is formulated. An attempt has been made to derive a suitable dielectric function corresponding to the current confinement. A simple inhomogeneous dielectric confinement model for gluons is studied for comparison. The model Hamiltonians are second quantized and the glueball states are constructed. The spurious motion of the centre of confinement is accounted for. The results of the current confinement scheme is found in good agreement with experimental candidates.     

混合效应在QCD求和规则下对标量胶球质量的影响

在QCD求和规则的框架下考虑了纯胶球和普通介子态的混合效应对二者质量的影响.在关联函数的构造中,胶子流和夸克流都被认为既和胶球态有耦合,也和夸克态有耦合.利用QCD低能定理,构造了一个混合关联函数.通过这些关系及两共振态近似,得出了0⁺⁺胶球和夸克态的质量,它们与各自的纯态的质量相差不大.     

Gluon andq\bar q mixing in theη−η ′−G(≡i(1440))system

A mixing scheme among three pseudoscalar mesons η, η′ and τ(1440) is proposed in order to analyze their \(q\bar q\) and gluonic components. Inequalities follow from requiring the consistency of the scheme and the range permitted for the mass of the pure gluonic state (glueball) turns out to be rather small. The resulting picture is in good agreement with the overall phenomenology and with the (rather scarce) data on the subject.     

Scalar glueball-q\bar{q} mixing above 1 GeV and implications for lattice QCD

Lattice QCD predictions have motivated several recent studies of the mixing between the predicted glueball and a nonet in the GeV region. We show that results from apparently different approaches have some common features, explain why this is so and abstract general conclusions. We place particular emphasis on the flavour dependent constraints imposed by decays of the , and to all pairs of pseudoscalar mesons. From these results we identify a systematic correlation between glueball mass, mixing, and flavour symmetry breaking and conclude that the glueball may be rather lighter than some quenched lattice QCD computations have suggested. We identify experimental tests that can determine the dynamics of a glueball in this mass region and discuss quantitatively the feasibility of decoding glueball- mixing. Received: 19 March 2001 / Published online: 17 August 2001     

Scalar mesons in a chiral quark model with glueball

Ground-state scalar isoscalar mesons and a scalar glueball are described in a U(3)×U(3) chiral quark model of the Nambu-Jona-Lasinio (NJL) type with 't Hooft interaction. The latter interaction produces singlet-octet mixing in the scalar and pseudoscalar sectors. The glueball is introduced into the effective meson Lagrangian as a dilaton on the base of scale invariance. The mixing of the glueball with scalar isoscalar quarkonia and amplitudes of their decays into two pseudoscalar mesons are shown to be proportional to current quark masses, vanishing in the chiral limit. Mass spectra of the scalar mesons and the glueball and their main modes of strong decay are described. Received: 14 July 2000 / Accepted: 31 July 2000     

Stringent tests of constrained Minimal Flavor Violation through ΔF=2 transitions

An extended version of the AdS/QCD soft-wall model that incorporates QCD-like anomalous contributions to the dimensions of gauge theory operators is proposed. This exploratory approach leads to a relation between scalar glueball masses and beta functions. Using this relation, the properties of the glueball mass spectroscopy that emerge from phenomenological beta functions proposed in the literature are investigated. The reverse problem is also considered: starting from a linear Regge trajectory which fits the lattice glueball masses, beta functions with different asymptotic infrared behaviors are found. Remarkably, some of them present a fixed point at finite coupling.     

2+1维SU(2)格点规范场胶球质量的无规相近似计算

采用无规相近似(RPA)耦合集团展开方法,用空心图作为试探波函数,利用Feymann-Hellman定理和截断薛定谔方程本征值方程的方法得到的封闭方程组,计算出三到六阶2+1维SU(2)格点规范场的胶球质量.结果显示:当计算进行到六阶时,胶球质量已出现标度窗口和收敛趋势,预示七阶结果将在弱耦合区能表现出良好的标度行为和收敛性