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The masses of pure gauge glueballs are calculated with the use of relativistic string Hamiltonian without fitting parameters. The string tension $\sigma_f=0.184$~GeV$^2$ in fundamental representation is fixed, using the Necco-Sommer lattice…

High Energy Physics - Phenomenology · Physics 2025-09-18 A. M. Badalian , M. S. Lukashov

In a recent article, W.-S. Hou and G.-G. Wong [Phys. Rev. D {\bf 67}, 034003 (2003)] have investigated the spectrum of two-gluon glueballs below 3 GeV in a potential model with a dynamical gluon mass. We point out that, among the 18 states…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Brau , C. Semay

We study the mass spectrum of nonrelativistic mesons composed of charm and bottom quarks within the framework of the Curci-Ferrari model in the Landau gauge, focusing on the influence of the gluon mass on our results. We derive the…

High Energy Physics - Phenomenology · Physics 2025-09-08 Anaclara Alvez , Nahuel Barrios , Florencia Benítez , Marcela Peláez

We investigate the masses of 0+ and 2+ glueballs in SU(2) lattice gauge theory using abelian projection to the maximum abelian gauge. We calculate glueball masses using both abelian links and monopole operators. Both methods reproduce the…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , Rafal Filipczyk

The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a $T$-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body…

High Energy Physics - Phenomenology · Physics 2013-04-10 G. Lacroix , C. Semay , D. Cabrera , F. Buisseret

The lowest-lying glueball masses are computed in SU($N$) gauge theory on a spacetime lattice for constant value of the lattice spacing $a$ and for $N$ ranging from 3 to 8. The lattice spacing is fixed using the deconfinement temperature at…

High Energy Physics - Lattice · Physics 2011-06-16 Biagio Lucini , Antonio Rago , Enrico Rinaldi

Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex p^2-plane) and the weak coupling constant lead to the Regge behaviour of the two-particle…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ja. V. Burdanov , G. V. Efimov

The problem of glueball mass spectra using the relativistic Dirac equation is studied. Also the Breit-Fermi approach used to obtaining hyperfine splitting in glueballs. Our approach is based on the assumption, that the nature and the forces…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Shpenik , Yu. Fekete , J. Kis

In this paper we study the viability of persuing analytic variational techniques for the calculation of glueball masses in 3+1 dimensional Hamiltonian lattice gauge theory (LGT) in the pure gauge sector. We discuss the major problems…

High Energy Physics - Lattice · Physics 2007-05-23 Jesse Carlsson , Bruce H. J. McKellar

A scalar model of glueball is considered. The model is based on two scalar fields approximation for SU(3) non-Abelian Lagrangian. The approach to approximation makes use of the assumption that 2 and 4-points Green's functions are described…

High Energy Physics - Phenomenology · Physics 2016-05-06 Vladimir Dzhunushaliev , Arislan Makhmudov

The pure gauge theory in 2+1 dimensions is explored, through both a phenomenological model and a lattice calculation. The Isgur-Paton model is extended to include a curvature term and various mixing mechanisms. The method of inferential…

High Energy Physics - Lattice · Physics 2007-10-12 Robert W. Johnson

Glueballs and other resonances with large gluonic components are predicted as bound states by Quantum Chromodynamics (QCD). The lightest (scalar) glueball is estimated to have a mass in the range from 1 to 2 GeV/c**2; a pseudoscalar and…

High Energy Physics - Experiment · Physics 2009-06-09 V. Crede , C. A. Meyer

We calculate the masses of the $0^{++}$, $0^{--}$ and $1^{+-}$ glueballs from QCD in 3+1 dimensions using an eigenvalue equation method for Hamiltonian lattice QCD developed and described elsewhere by the authors. The mass ratios become…

High Energy Physics - Phenomenology · Physics 2018-01-17 Lian Hu , Xiang-Qian Luo , Qi-Zhou Chen , Xi-Yan Fang , Shuo-Hong Guo

In this work we use a mapping technique to derive in the context of a constituent gluon model an effective Hamiltonian that involves explicit gluon degrees of freedom. We study glueballs with two gluons using the Fock-Tani formalism. In the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. L. L. da Silva , D. Hadjimichef , C. A. Z. Vasconcellos

The relativistic flux tube model is an effective description of confined quarks and gluons in which the confining interaction is carried by the flux tube, a Nambu-Goto string. We first show that the relativistic flux tube model can be…

High Energy Physics - Phenomenology · Physics 2009-11-05 Fabien Buisseret , Vincent Mathieu , Claude Semay

The scalar glueball $G$ is the lightest particle of the Yang-Mills sector of QCD, with a lattice predicted mass of about $m_{G}\simeq1.7$ GeV. It is natural to investigate glueball-glueball scattering and the possible emergence of a bound…

High Energy Physics - Phenomenology · Physics 2022-06-15 Francesco Giacosa , Alessandro Pilloni , Enrico Trotti

We study glueballs on two $N_f=2+1$ RBC/UKQCD gauge ensembles with physical quark masses at two lattice spacings. The statistical uncertainties of the glueball correlation functions are considerably reduced through the cluster decomposition…

High Energy Physics - Lattice · Physics 2023-06-07 Feiyu Chen , Xiangyu Jiang , Ying Chen , Keh-Fei Liu , Wei Sun , Yi-Bo Yang

In constituent models, glueballs are described as bound states of effective gluons. The dynamical mass generation lead to a gluon mass without violating gauge invariance. One can then consider three degrees of freedom for those effective…

High Energy Physics - Phenomenology · Physics 2011-07-14 Vincent Mathieu

Using a nonperturbative method based on asymptotic behaviour of Wilson loops we calculate masses of glueballs and corresponding Regge-trajectories. The method contains no fitting parameters and the mass scale is fixed by the meson Regge…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. B. Kaidalov , Yu. A. Simonov

We consider an effective Lagrangian containing contributions from glueball and gluon degrees of freedom with a scale-invariant coupling between the two. The thermodynamic potential is calculated taking into account thermal fluctuations of…

Nuclear Theory · Physics 2009-10-31 G. W. Carter , O. Scavenius , I. N. Mishustin , P. J. Ellis