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The estimation of the K\"all\'en-Lehmann spectral density from gauge invariant lattice QCD two point correlation functions is proposed, and explored via an inversion strategy based on Tikhonov regularisation. We test the method on a mesonic…

High Energy Physics - Lattice · Physics 2025-10-16 David Dudal , Orlando Oliveira , Martin Roelfs

We investigate the glueball spectrum for $N_f=4$ fermions corresponding to low pion masses of $m_\pi \sim 250$MeV. We do so by making use of configurations produced with maximally twisted fermions within the framework of the Extended…

High Energy Physics - Lattice · Physics 2022-12-06 Andreas Athenodorou , Jacob Finkenrath , Adam Lantos , Michael Teper

We discuss the principles underlying higher spin glueball calculations on the lattice. For that purpose, we develop numerical techniques to rotate Wilson loops by arbitrary angles in lattice gauge theories close to the continuum. As a first…

High Energy Physics - Lattice · Physics 2009-11-07 Harvey B. Meyer , Michael J. Teper

We compute from lattice QCD in the valence (quenched) approximation the partial decay widths of the lightest scalar glueball to pairs of pseudoscalar quark-antiquark states. These predictions and values obtained earlier for the scalar…

High Energy Physics - Lattice · Physics 2008-11-26 J. Sexton , A. Vaccarino , D. Weingarten

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 $0.08fm$ which makes the extrapolation to the continuum limit more reliable.…

High Energy Physics - Lattice · Physics 2009-10-31 Chuan Liu

In the present work a consistent kinematic-based framework for glueball states is proposed. It relates the glueball, the Pomeron, QCD lattice calculations, the $0^{++}$ scalar states $f_0(1710)$ and $\chi_{c0}(1P)$, the $2^{++}$ states…

High Energy Physics - Phenomenology · Physics 2015-11-19 Simone Giani , Hubert Niewiadomski , Luca Trentadue

The 3d gluodynamics which governs the large T quark gluon plasma is studied in the framework of the field correlator method. Field correlators and spacial string tension are derived through the gluelump Green's functions. The glueball…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. A. Simonov

The spectrum of two-particle bound states is investigated within a relativistic quantum-field model of interacting quarks and gluons confined analytically. The hadronization process of mesons and glueballs is described by using the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Ganbold

We suggest a framework based on the rainbow approximation to the Dyson-Schwinger and Bethe-Salpeter equations with effective parameters adjusted to lattice QCD data to calculate the masses of the ground and excited states of pseudo-scalar…

High Energy Physics - Phenomenology · Physics 2020-08-26 L. P. Kaptari , B. Kämpfer

We present the three-pion spectrum with maximal isospin in a finite volume determined from lattice QCD, including excited states in addition to the ground states across various irreducible representations at zero and nonzero total momentum.…

High Energy Physics - Lattice · Physics 2019-10-09 Ben Hörz , Andrew Hanlon

The mass of the glueballs is calculated in the B.S. equation framework. Under instantaneous approximation, the wave function of B.S. equations are obtained. The kernel is chosen as the sum of an one-gluon exchange potential, a contact…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Y. Cui , J. M. Wu , H. Y. Jin

The propagator of a physical degree of freedom ought to obey a K\"{a}ll\'{e}n-Lehmann spectral representation, with positive spectral density. The latter quantity is directly related to a cross section based on the optical theorem. The…

High Energy Physics - Lattice · Physics 2012-10-30 O. Oliveira , D. Dudal , P. J. Silva

We investigate in detail a 2-level algorithm for the computation of 2-point functions of fuzzy Wilson loops in lattice gauge theory. Its performance and the optimization of its parameters are described in the context of 2+1D SU(2)…

High Energy Physics - Lattice · Physics 2009-11-10 Harvey B. Meyer

We discuss how to extract the spectroscopy of quantum chromodynamics (QCD) in the pure gauge sector from the Hamiltonian lattice field theory approach. The recently developed truncated eigenvalue equation method is applied to the estimation…

High Energy Physics - Phenomenology · Physics 2016-09-01 Qi-Zhou Chen , Xiang-Qian Luo , Shuo-Hong Guo , Xi-Yang Fang

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 2011-01-19 Biagio Lucini , Antonio Rago , Enrico Rinaldi

We develop a new approach to construct the operator on lattice for the calculation of glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number $J^{PC}$ of the state studied.…

High Energy Physics - Lattice · Physics 2014-11-17 Da Qing Liu , Ji Min Wu , Ying Chen

We compute the mass spectrum of glueball excitations of a special class of strongly-coupled field theories via their type-IIB supergravity dual. We focus on two subclasses of backgrounds, which have different UV-asymptotics, but both of…

High Energy Physics - Theory · Physics 2015-06-22 Daniel Elander , Maurizio Piai

For SU(2) gauge theory on the three-sphere we study the dynamics of the low-energy modes. By explicitely integrating out the high-energy modes, the one-loop correction to the hamiltonian for this problem is obtained. After imposing the…

High Energy Physics - Lattice · Physics 2009-10-28 Bas van den Heuvel

Functional methods like Dyson-Schwinger equations, the nPI effective action formalism, bound state equations and the functional renormalization group are versatile tools to study quantum field theories. They are exact, nonperturbative…

High Energy Physics - Phenomenology · Physics 2025-10-23 Markus Q. Huber

We define and evaluate on the lattice the amputated 3-gluon vertex function in momentum space. We give numerical results for $16^3 \times 40$ and $24^3 \times 40$ quenched lattices at $\beta=6.0$. A good numerical signal is obtained, at the…

High Energy Physics - Lattice · Physics 2008-12-24 C. Parrinello