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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 appropriate inversion method. As proof of concept the SU(2) glueball spectrum for…

High Energy Physics - Lattice · Physics 2022-03-24 David Dudal , Orlando Oliveira , Martin Roelfs

It is shown that the eigenstates of the quantized simplest closed (elliptic) Nambu -- Goto string, called glueballs, have quantum numbers I^Gj^{PC}=0^+j^{++}. Lightest glueballs have spins j=0,1 and 2 and the same mass 1500 +/- 20 MeV. They…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. D. Soloviev

On the basis of the non-perturbative Heisenberg's quantization scheme and using some simplifications and assumptions the reduction from the gluon-quark Lagrangian to a scalar-fermion Lagrangian is made. The corresponding field equations…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Dzhunushaliev

We compute glueball superpotentials for four-dimensional, N=1 supersymmetric gauge theories, with arbitrary gauge groups and massive matter representations. This is done by perturbatively integrating out massive, charged fields. The Feynman…

High Energy Physics - Theory · Physics 2008-11-26 Mina Aganagic , Ken Intriligator , Cumrun Vafa , Nicholas P. Warner

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

We apply a phenomenological approach based on nonlinear Regge trajectories to glueball states. The parameters, i.e., intercept and threshold, or trajectory termination point beyond which no bound states should exist, are determined from…

Nuclear Theory · Physics 2008-11-26 M. M. Brisudova , L. Burakovsky , T. Goldman , A. Szczepaniak

We calculate the low-lying spectra of glueballs and confining flux tubes in the U(1) lattice gauge theory in 2+1 dimensions. We see that up to modest lattice spacing corrections, the glueball states are consistent with being multiparticle…

High Energy Physics - Lattice · Physics 2019-01-30 Andreas Athenodorou , Michael Teper

We present first results on masses of the scalar and tensor glueballs as well as of the torelon from simulations of QCD with two light flavours of Wilson fermions. The gauge configurations of extent 16^3*32 at beta = 5.6 and kappa = 0.156,…

High Energy Physics - Lattice · Physics 2009-10-28 G. S. Bali , U. Glassner , S. Gusken , H. Hoeber , Th. Lippert , G. Ritzenhofer , K. Schilling , G. Siegert , A. Spitz , SESAM collaboration

We study glueballs in the holographic gauge theories, supersymmetric and non-super symmetric cases, which are given by the type IIB superstring solutions with non-trivial dilaton. In both cases, the dilaton reflects the condensate of the…

High Energy Physics - Theory · Physics 2015-06-03 Kazuo Ghoroku , Kouki Kubo , Tomoki Taminato , Fumihiko Toyoda

Using simple and general arguments we propose an effective Hamiltonian for the description of low-energy pure QCD. The Hamiltonian is a function of spatially constant collective modes. Its eigenstates can be organized into bands classified…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. O. Hess , A. Weber , C. R. Stephens , S. A. Lerma H. , J. C. Lopez V.

We calculate the mass spectrum and the decay widths of glueballs in the flux tube model. The glueball is assumed to be a closed flux tube. The breathing motion and the rotational motion are investigated using the WKB approximation. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Masaharu Iwasaki , Shin-Ichi Nawa , Takayoshi Sanada , Fujio Takagi

Inspired in the AdS/CFT correspondence, a variety of holographic phenomenological models have been proposed in the last years to describe non-perturbative aspects of strong interactions. These models are denominated as AdS/QCD. In this work…

High Energy Physics - Theory · Physics 2014-11-20 Alex S. Miranda , C. A. Ballon Bayona , Henrique Boschi-Filho , Nelson R. F. Braga

We suggest a framework based on the rainbow approximation with effective parameters adjusted to lattice data. The analytic structure of the gluon and ghost propagators of QCD in Landau gauge is analyzed by means of numerical solutions of…

High Energy Physics - Phenomenology · Physics 2018-11-06 L. P. Kaptari , B. Kaempfer , P. Zhang

We show that linear Regge trajectories for mesons and glueballs, and the cubic mass spectrum associated with them, determine a relation between the masses of the \rho meson and the scalar glueball, M(0^{++})=3/\sqrt{2} M(\rho ), which…

High Energy Physics - Phenomenology · Physics 2010-05-27 L. Burakovsky

By considering an onsite attraction between a spin-$\uparrow$ and a spin-$\downarrow$ fermion in a multiband tight-binding lattice, here we study the two-body spectrum, and derive an exact relation between the inverse of the effective-mass…

Quantum Gases · Physics 2022-02-10 M. Iskin

It is shown that new data on the $(J^{PC}=2^{++})$-resonances in the mass range $M\sim1700-2400 $MeV support the linearity of the $(n,M^2)$-trajectories, where $n$ is the radial quantum number of quark--antiquark state. In this way all…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Anisovich

Lattice simulations currently present the only way to access nonperturbative data in strongly coupled theories from a first principle calculation. However, in supersymmetric theories this valuable tool is not available due to the technical…

High Energy Physics - Phenomenology · Physics 2013-11-27 Ivan Gordeli , Dmitry Melnikov

Monte Carlo results for the low-lying glueball spectrum using an improved, anisotropic action are presented. Ten simulations at lattice spacings ranging from 0.2 to 0.4 fm and two different anisotropies have been performed in order…

High Energy Physics - Lattice · Physics 2011-05-05 Colin Morningstar , Mike Peardon

In a scalar approximation the distribution of a gluon condensate in a glueball is calculated. In this approximation the SU(3) gauge fields are separated on two parts: (1) is the $SU(2) \subset SU(3)$ subgroup, (2) is the coset $SU(3) /…

High Energy Physics - Phenomenology · Physics 2011-10-10 Vladimir Dzhunushaliev

A comprehensive, relativistic many-body approach to hadron structure is advanced based on the Coulomb gauge QCD Hamiltonian. Our method incorporates standard many-body techniques which render the approximations amenable to systematic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Adam Szczepaniak , Eric S. Swanson , Chueng-Ryong Ji , Stephen R. Cotanch