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Gaussian QCD sum-rules are used to analyze all possible two-point correlation functions of scalar gluonic and quark currents. The independent predictions of the masses and relative coupling strengths from the different correlators are…

High Energy Physics - Phenomenology · Physics 2013-04-04 T. G. Steele , D. Harnett , R. T. Kleiv , K. Moats

The correlator of the square of the Yang-Mills field-strength tensor corresponds to a scalar glueball, i.e., to a bound-state formed by gluonic ingredients only. It has quantum numbers 0++ and its mass, as predicted by different theoretical…

High Energy Physics - Phenomenology · Physics 2013-01-17 Andreas Windisch , Markus Q. Huber , Reinhard Alkofer

We study correlation functions and Bethe Salpeter amplitudes for the scalar, the pseudoscalar and the tensor glueballs using an instanton-based model of the QCD vacuum. We consider both the pure gauge case and the situation for real QCD…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Schaefer , E. V. Shuryak

Quantum simulations of QCD require digitization of the infinite-dimensional gluon field. Schemes for doing this with the minimum amount of qubits are desirable. We present a practical digitization for $SU(3)$ gauge theories via its discrete…

High Energy Physics - Lattice · Physics 2022-06-29 Andrei Alexandru , Paulo F. Bedaque , Ruairí Brett , Henry Lamm

We show that the anomalous dimension $\gamma_G$ of the scalar glueball operator contains information on the mechanism that leads to the onset of conformality at the lower edge of the conformal window in a non-Abelian gauge theory. In…

High Energy Physics - Theory · Physics 2018-02-28 Tiago Nunes da Silva , Elisabetta Pallante , Lasse Robroek

We study the three-flavor chirally and dilatation invariant extended Linear Sigma Model with (pseudo)scalar and (axial-)vector mesons as well as a scalar dilaton field whose excitations are interpreted as a glueball. The model successfully…

High Energy Physics - Phenomenology · Physics 2015-06-22 Stanislaus Janowski , Francesco Giacosa , Dirk H. Rischke

Glueballs are particles whose valence degrees of freedom are gluons and therefore in their description the gauge field plays a dominant role. We review recent results in the physics of glueballs with the aim set on phenomenology and discuss…

High Energy Physics - Phenomenology · Physics 2009-10-16 Vincent Mathieu , Nikolai Kochelev , Vicente Vento

Existence of gluonic resonances is among the early expectations of QCD. Today, QCD calculations predict the lightest glueball to be a scalar state with mass within a range of about 900-1700 MeV but there is no consensus about its…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Ochs

Recent numerical calculations of the glueball spectrum in QCD, in SU($N$) Yang-Mills theory in the large-$N$ limit and in candidate theories of strongly interacting dynamics beyond the standard model (in which the lowest-lying scalar plays…

High Energy Physics - Lattice · Physics 2014-01-08 Biagio Lucini

We perform the first lattice QCD study on the radiative decay of the scalar glueball to the vector meson $\phi$ in the quenched approximation. The calculations are carried out on three gauge ensembles with different lattice spacings, which…

High Energy Physics - Lattice · Physics 2024-09-11 Jintao Zou , Long-Cheng Gui , Ying Chen , Jian Liang , Xiangyu Jiang , Wen Qin , Yi-Bo Yang

We present a generalized linear sigma model that includes both scalar and pseudoscalar glueballs in addition to a quark-antiquark as well as a four-quark chiral nonet. Utilizing the axial and trace anomalies of QCD (at the effective mesonic…

High Energy Physics - Phenomenology · Physics 2018-12-05 Amir H. Fariborz , Renata Jora

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

We consider the dynamics of the scalar and pseudoscalar glueballs in the Quark-Gluon Plasma (QGP). By using the instanton model for the QCD vacuum we give the arguments that the nonperturbative gluon-gluon interaction is qualitatively…

High Energy Physics - Phenomenology · Physics 2016-05-04 Nikolai Kochelev

In heavy ion collision simulations many hadron states and/or parton degrees of freedom are included in order to obtain the observables. Meson spectroscopy, for example, considers the $0^{++}$ meson as a mixture of $q\bar{q}$ and glue. This…

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

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

QCD Laplace sum-rules for light-quark I=0,1 scalar currents are used to investigate candidates for the lightest $q\bar q$ scalar mesons. The theoretical predictions for the sum-rules include instanton contributions which split the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , Fang Shi , V. Elias

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 Lorentz-invariant gluon correlation functions, corresponding to scalar and pseudo-scalar glueballs, are calculated for Kogan's and Kovner's variational ansatz for the pure SU(N) Yang-Mills wavefunctional. One expects that only one…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. M. Gripaios

We study the glueball properties at finite temperature from the temporal correlation in $SU(3)$ Yang-Mills theory using anisotropic lattice QCD. Although the existence of a constant contribution to the meson correlation function appearing…

High Energy Physics - Lattice · Physics 2025-06-18 Toshizo Arikawa , Keita Sakai , Shoichi Sasaki

We use Ward identities of broken scale invariance to infer the amount of scalar glueball--$\bar{q}q$ meson mixing from the ratio of quark and gluon condensates in the QCD vacuum. Assuming dominance by a single scalar state, as suggested by…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Ellis , H. Fujii , D. Kharzeev