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Related papers: Mass estimates of the SU(2) $0^{++}$ glueball from…

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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

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 discuss a method to extract the K\"all\'{e}n-Lehmann spectral density of a particle (be it elementary or bound state) propagator by means of 4d lattice data. We employ a linear regularization strategy, commonly known as the Tikhonov…

High Energy Physics - Lattice · Physics 2013-11-15 Paulo J. Silva , David Dudal , Orlando Oliveira

We use the results of recent lattice calculations to obtain (part of) the mass spectrum of continuum SU(2) gauge theory in both 2+1 and 3+1 dimensions. We compare these spectra to the predictions of the Isgur-Paton flux tube model for…

High Energy Physics - Lattice · Physics 2009-09-25 T. Moretto , M. Teper

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 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

The glueball spectrum within the Hamiltonian formulation of lattice gauge theory (without fermions) is calculated for the gauge group SU(2) and for two spatial dimensions. The Hilbert space of gauge-invariant functions of the gauge field is…

High Energy Physics - Lattice · Physics 2009-11-07 A. Wichmann , D. Schuette , B. C. Metsch , V. Wethkamp

This paper is devoted to the study of two-point correlation function of the energy-momentum tensor T_{12}T_{12} for SU(2)-gluodynamics within lattice simulation of QCD. Using multilevel algorithm we carried out the measurement of the…

High Energy Physics - Lattice · Physics 2018-12-19 N. Yu. Astrakhantsev , V. V. Braguta , A. Yu. Kotov

We consider the problem of "measuring" the K\"all\'en-Lehmann spectral density of a particle (be it elementary or bound state) propagator by means of 4d lattice data. As the latter are obtained from operations at (Euclidean momentum…

High Energy Physics - Lattice · Physics 2014-01-15 David Dudal , Orlando Oliveira , Paulo J. Silva

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

The spectrum of glueballs in 2+1 dimensions is calculated within an extended class of Isgur-Paton flux tube models and is compared to lattice calculations of the low-lying SU(N) glueball mass spectra. Our modifications of the model include…

High Energy Physics - Phenomenology · Physics 2009-10-31 Robert W. Johnson , Michael J. Teper

We present a high-precision lattice calculation of the equation of state in the confining phase of SU(2) Yang-Mills theory. We show that the results are described very well by a gas of massive, non-interacting glueballs, provided one…

High Energy Physics - Lattice · Physics 2017-10-31 Michele Caselle , Alessandro Nada , Marco Panero

I show how one can use lattice methods to calculate various continuum properties of SU(N) gauge theories; in part to explore old ideas that N=3 might be close to N=infinity. I describe calculations of the low-lying `glueball' mass spectrum,…

High Energy Physics - Lattice · Physics 2009-11-07 M. Teper

We calculate the masses of the low-lying states with quantum numbers $J^{PC}=0^{++},1^{--}$ in the Higgs and confinement regions of the three-dimensional SU(2) Higgs model, which plays an important r\^ole in the description of the…

High Energy Physics - Lattice · Physics 2009-10-28 O. Philipsen , M. Teper , H. Wittig

Mass spectrum of 0++ glueballs is produced using a dual supergravity theory we proposed for pure N=1 SU(N) gauge theory in four dimensions in the large N limit in the IR. The glueball states are expressed in terms of Whittaker functions.…

High Energy Physics - Phenomenology · Physics 2013-05-30 Girma Hailu

We investigate the masses of 0+ and 2+ glueballs in SU(2) lattice gauge theory using abelian projection to the maximum abelian gauge. We calculate glueball masses using both abelian links and monopole operators. Both methods reproduce the…

High Energy Physics - Lattice · Physics 2009-10-31 John D. Stack , Rafal Filipczyk

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 calculate the low-lying glueball spectrum and various string tensions in SU(N) lattice gauge theories in 2+1 dimensions, and extrapolate the results to the continuum limit. We do so for for the range N=2 to N=16 so as to control the…

High Energy Physics - Lattice · Physics 2017-03-08 Andreas Athenodorou , Michael Teper

We study the mass and scattering cross section of $SU(2)$ glueballs as dark matter candidates using lattice simulations. We employ both naive and improved $SU(2)$ gauge actions in $3+1$ dimensions with several $\beta$ values, and adopt both…

High Energy Physics - Lattice · Physics 2024-07-11 Min-Huan Chu , Jun-Hui Lai , Wei Wang , Jialu Zhang , Qianteng Zhu

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
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