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The lowest scalar and pseudoscalar glueball masses are evaluated by means of the time-dependent variational approach to the Yang-Mills gauge theory without fermions in the Hamiltonian formalism within a Gaussian wavefunctional…

High Energy Physics - Phenomenology · Physics 2012-09-03 Y. Tsue

We study the analytic structure of the two-point function of the operator F2 which is expected to describe a scalar glueball. The calculation of the involved integrals is complicated by nonanalytic structures in the integrands, which we…

High Energy Physics - Phenomenology · Physics 2013-03-14 Andreas Windisch , Markus Q. Huber , Reinhard Alkofer

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

We present a constituent two-gluon description of the lowest-lying glueball states in pure Yang--Mills theory, calibrated against quenched lattice results. The framework incorporates an instanton-induced dynamical gluon mass, Casimir-scaled…

High Energy Physics - Phenomenology · Physics 2026-04-07 Edward Shuryak , Ismail Zahed

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

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

We review the phenomenological and theoretical evidences for dynamical gluon mass generation and the main features of the glueball spectrum in (pure gauge) Yang-Mills theories. The mixing between glueball and conventional $\bar q q$ states…

High Energy Physics - Phenomenology · Physics 2011-09-06 Vincent Mathieu

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

We study a toy model for an interacting scalar field theory in which the fundamental excitations are confined in the sense of having unphysical, positivity-violating propagators, a fact tracing back to a decomposition of these in…

High Energy Physics - Theory · Physics 2013-05-01 M. A. L. Capri , D. Dudal , M. S. Guimaraes , L. F. Palhares , S. P. Sorella

We report on our continued efforts to measure the glueball and meson spectra in SU($N$) Yang-Mills theory and QCD with the aim of extrapolating to the large-$N$ limit. In particular, we document the computation of the low-lying SU($6$)…

High Energy Physics - Lattice · Physics 2026-03-16 Andrea Falzetti , Matteo Lombardi , Mauro Lucio Papinutto , Francesco Scardino

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

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

We develop an inverse matrix method to solve for resonance masses from a dispersion relation obeyed by a correlation function. Given the operator product expansion (OPE) of a correlation function in the deep Euclidean region, we obtain the…

High Energy Physics - Phenomenology · Physics 2022-01-05 Hsiang-nan Li

By relating the functional averages of a generic scalar operator in simulations with Open (O) and Periodic (P) boundary conditions (BCs) respectively for $SU(3)$ lattice gauge theory, we show that the scalar glueball mass and the glueball…

High Energy Physics - Lattice · Physics 2016-03-23 Abhishek Chowdhury , A. Harindranath , Jyotirmoy Maiti

This compact review about gluonium focuses on a slate of theoretical efforts; among the many standing works, I have selected several that are meant to assist in the identification, among ordinary mesons, of the few Yang-Mills glueball…

High Energy Physics - Phenomenology · Physics 2021-06-04 Felipe J. Llanes-Estrada

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 present work discusses an approach to access the physical spectrum of the Yang-Mills theory quantized in the Landau gauge. By using recent lattice data on the gluon propagator, it is possible to study the two-point functions of gauge…

High Energy Physics - Theory · Physics 2011-09-06 Silvio P. Sorella , David Dudal , Marcelo S. Guimaraes , Nele Vandersickel

Glueballs have a natural interpretation as closed strings in Yang-Mills theory. Their stability requires that the string carries a nontrivial twist, or then it is knotted. Since a twist can be either left-handed or right-handed, this…

High Energy Physics - Theory · Physics 2017-08-23 Antti J. Niemi

The scalar glueball is investigated in a soft-wall model of AdS/QCD. Constraints of the mass of the scalar glueball are given through an analysis of a relation between the bulk mass and the anomalous dimension. The mass of the ground scalar…

High Energy Physics - Phenomenology · Physics 2015-06-17 Xue-Feng Li , Ailin Zhang

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new non-trivial expression for the (quasi)Gaussian part…

High Energy Physics - Theory · Physics 2008-11-26 Robert G. Leigh , Djordje Minic , Alexandr Yelnikov
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