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I discuss the spectrum of hadrons containing heavy quarks ($b$ or $c$), and how well the experimental results are matched by theoretical ideas. Useful insights come from potential models and applications of Heavy Quark Symmetry and these…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. T. H. Davies

Using the grand canonical ensemble formulation of a multi-particle statistical system, the thermodynamical description of the dual QCD has been presented in terms of the bag model of hadrons and analyzed for the quark-gluon plasma phase of…

High Energy Physics - Phenomenology · Physics 2015-05-19 H. C. Chandola , Garima Punetha , H. Dehnen

Lattice quantum chromodynamics (QCD) will soon become the primary theoretical tool in rigorous studies of single- and multi-hadron sectors of QCD. It is truly ab initio meaning that its only parameters are those of standard model. The…

High Energy Physics - Lattice · Physics 2014-09-09 Zohreh Davoudi

We review recent results in lattice QCD from numerical simulations that allow for a much more realistic QCD vacuum than has been possible before. Comparison with experiment for a variety of hadronic quantities gives agreement to within…

High Energy Physics - Phenomenology · Physics 2010-11-23 Christine Davies , Peter Lepage

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

We present numerical results and their analyses of finite-size effects of hadron masses for both quenched and full QCD calculations. We show that they are much larger for full QCD due to dynamical sea quarks and the associated breaking of…

High Energy Physics - Lattice · Physics 2009-10-22 S. Aoki , T. Umemura , M. Fukugita , N. Ishizuka , H. Mino , M Okawa , A. Ukawa

The experimental value of g-2 of the muon is larger by $4.2 \sigma$ than the Standard Model prediction based on the hadronic vacuum polarization contribution (HVP) determined from the measured R-ratio, $\sigma(e^+e^- \! \rightarrow \!…

High Energy Physics - Phenomenology · Physics 2022-09-09 Glennys R. Farrar

Using effective field theory methods, we discuss the extraction of the mass and width of the scalar mesons f0(980) and a0(980) from the finite-volume spectrum in lattice QCD. In particular, it is argued that the nature of these states can…

High Energy Physics - Lattice · Physics 2011-01-27 V. Bernard , M. Lage , U. -G. Meißner , A. Rusetsky

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

Finite lattice models are a prototype for strongly correlated quantum systems and capture essential properties of condensed matter systems. With the dramatic progress in ultracold atoms in optical lattices, finite fermionic Hubbard systems…

Strongly Correlated Electrons · Physics 2014-09-10 Denis Lacroix , S. Hermanns , C. M. Hinz , M. Bonitz

Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is…

High Energy Physics - Lattice · Physics 2010-02-17 A. W. Thomas , J. D. Ashley , D. B. Leinweber , R. D. Young

We compute the entropy density of the confined phase of QCD without quarks on the lattice to very high accuracy. The results are compared to the entropy density of free glueballs, where we include all the known glueball states below the…

High Energy Physics - Lattice · Physics 2010-04-07 Harvey B. Meyer

Inspired by [25], this paper investigates subwavelength bandgaps in phononic crystals consisting of periodically arranged hard elastic materials embedded in a soft elastic background medium. Our contributions are threefold. First, we…

Analysis of PDEs · Mathematics 2025-03-28 Yuanchun Ren , Bochao Chen , Yixian Gao , Peijun Li

A second order extension of the QED Lagrangian (including boson-boson coupling) has been used to describe q\bar q hadrons. Assuming massless elementary fermions (quantons) this results in a finite theory without open parameters, which may…

General Physics · Physics 2013-11-08 H. P. Morsch

Ongoing challenges in computing the spectrum of hadronic resonances and shallow bound-states from lattice QCD are reviewed. Since such states are identified as poles in the scattering matrix, nearby non-analyticities must be treated to…

High Energy Physics - Lattice · Physics 2024-02-02 John Bulava

Novel theoretical and computational strategies have opened the possibility of exploring thermal QCD at the non-perturbative level at unprecedented temperatures, reaching from the GeV scale up to the electroweak scale. A number of observable…

High Energy Physics - Lattice · Physics 2026-03-20 Marco Cè , Leonardo Giusti , Michele Pepe , Pietro Rescigno

Using holography, we study the low-lying mesonic spectrum of a range of asymptotically free gauge theories. First we revisit a simple top-down holographic model of QCD-like dynamics with predictions in the M_rho-M_pi plane. The meson masses…

High Energy Physics - Phenomenology · Physics 2015-04-08 Johanna Erdmenger , Nick Evans , Marc Scott

We demonstrate that the Hagedorn-like growth of the number of observed meson states can be used to constrain the degrees of freedom of the underlying effective QCD string. We find that the temperature relevant for such string theories is…

High Energy Physics - Theory · Physics 2009-10-22 Keith R. Dienes , Jean-Rene Cudell

The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if…

High Energy Physics - Lattice · Physics 2016-09-01 Shoichi Sasaki , Takeshi Yamazaki

We locate gaps in the spectrum of a Hamiltonian on a periodic cuboidal (and generally hyperrectangular) lattice graph with $\delta$ couplings in the vertices. We formulate sufficient conditions under which the number of gaps is finite. As…

Mathematical Physics · Physics 2020-05-26 Ondřej Turek