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The spectrum of glueballs with quantum numbers $J^\mathsf{PC}=0^{\pm+},2^{\pm+},3^{\pm+},4^{\pm+}$ is calculated in quenched quantum chromodynamics from bound state equations. The input is taken from a parameter-free calculation of two- and…

High Energy Physics - Phenomenology · Physics 2022-01-17 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

The quenched spectrum of glueballs with positive charge parity is calculated from two-body bound state equations. As input, a self-contained solution for the primitively divergent correlation functions from Dyson-Schwinger equations is…

High Energy Physics - Phenomenology · Physics 2023-12-20 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

We calculate the glueball spectrum for spin up to J=4 and positive charge parity in pure Yang-Mills theory. We construct the full bases for J=0,1,2,3,4 and discuss the relation to gauge invariant operators. Using a fully self-contained…

High Energy Physics - Phenomenology · Physics 2022-01-13 Markus Q. Huber , Christian S. Fischer , Helios Sanchis-Alepuz

In the preceding paper, a rigorous three-dimensional relativistic equation for two-gluon bound states was derived from the QCD with massive gluons and represented in the angular momentum representation. In order to apply this equation to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jian-Xing Chen , Jun-Chen Su

The standard approach to compute the glueball spectrum on the lattice relies on the evaluation of effective masses from two-point correlation functions of operators with the quantum numbers of the desired state. In this work, we propose an…

High Energy Physics - Lattice · Physics 2023-11-28 Marco Panero , Antonio Smecca , Nazario Tantalo , Davide Vadacchino

We provide results for the spectrum of scalar and pseudoscalar glueballs in pure Yang-Mills theory using a parameter-free fully self-contained truncation of Dyson-Schwinger and Bethe-Salpeter equations. The only input, the scale, is fixed…

High Energy Physics - Phenomenology · Physics 2020-11-25 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

Both positive and negative charge conjugation glueball spectra are computed with a constituent gluon approach. We first compute the spectrum of the Hamiltionian describing two-gluon bound states having $C=+$, before tackling the three-gluon…

High Energy Physics - Phenomenology · Physics 2025-03-20 Cyrille Chevalier , Vincent Mathieu

A rigorous three-dimensional relativistic equation satisfied by two-gluon bound states is derived from the QCD with massive gluons. With the gluon fields and the quark fields being expanded in terms of the gluon multipole fields and the…

High Energy Physics - Phenomenology · Physics 2009-10-02 Jun-Chen Su , Jian-Xing Chen

The complete low-lying positive charge conjugation glueball spectrum is obtained from QCD. The formalism relies on the construction of an efficient quasiparticle gluon basis for Hamiltonian QCD in Coulomb gauge. The resulting rapidly…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam P. Szczepaniak , Eric S. Swanson

We present the first 2+1 flavour spectrum measurements of glueball states using high statistics simulations with improved staggered fermions. We find a spectrum consistent with quenched measurements of scalar, pseudoscalar andtensor…

High Energy Physics - Lattice · Physics 2015-03-17 Christopher M. Richards , Alan C. Irving , Eric B. Gregory , Craig McNeile

Glueballs are bound states in the spectrum of quantum chromodynamics which consist only of gluons. They belong to the group of exotic hadrons which are widely studied experimentally and theoretically. We summarize how to calculate glueballs…

High Energy Physics - Phenomenology · Physics 2023-01-11 Markus Q. Huber , Christian S. Fischer , Helios Sanchis-Alepuz

Mass ratios of glueballs predicted by the latest Lattice QCD calculations in the quenched approximation agree well with four prime experimental candidates.

High Energy Physics - Phenomenology · Physics 2009-10-31 D. V. Bugg , M. Peardon , B. S. Zou

We resume the investigation of the ground-state pseudoscalar glueball, $J^{PC}=0^{-+}$, by computing its two- and three-body decays into vector and axial-vector quark-antiquark meson fields additional to scalar and pseudoscalar mesons…

High Energy Physics - Phenomenology · Physics 2023-04-05 Walaa I. Eshraim

We consider (1+1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU($N$). This model results from dimensional reduction of the (2+1)-dimensional pure glue theory. In the large-N limit we study the…

High Energy Physics - Theory · Physics 2009-10-22 Krešimir Demeterfi , Igor R. Klebanov , Gyan Bhanot

We present a study of the $SU(3)$ glueball spectrum for all $J^{PC}$ values at lattice spacings down to $a^{-1}=3.73 (6)$ GeV ($\beta=6.4$) using lattices of size up to $32^4$. We extend previous studies and show that the continuum limit…

High Energy Physics - Lattice · Physics 2008-11-26 UKQCD Collaboration , GS Bali , K Schilling , A Hulsebos , AC Irving , C Michael , PW Stephenson

We study the spectrum of massive excitations in three-dimensional models belonging to the Ising universality class. By solving the Bethe-Salpeter equation for 3D $\phi^4$ theory in the broken symmetry phase we show that recently found…

High Energy Physics - Theory · Physics 2009-11-07 M. Caselle , M. Hasenbusch , P. Provero , K. Zarembo

The Schwinger-Dyson Bethe-Salpeter approach to the bound state problem is applied to the spin zero glueball spectrum. Although a moderately successful description of the two point functions and the glueball spectrum can be obtained, further…

High Energy Physics - Phenomenology · Physics 2013-03-14 Joseph Meyers , Eric S. Swanson

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…

High Energy Physics - Phenomenology · Physics 2025-03-07 Markus Q. Huber , Christian S. Fischer , Hèlios Sanchis-Alepuz

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…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ja. V. Burdanov , G. V. Efimov

The spectrum of glueballs below 4 GeV in the SU(3) pure-gauge theory is investigated using Monte Carlo simulations of gluons on several anisotropic lattices with spatial grid separations ranging from 0.1 to 0.4 fm. Systematic errors from…

High Energy Physics - Lattice · Physics 2008-11-26 Colin J. Morningstar , Mike Peardon
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