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The baryon masses on CLS ensembles are used to determine the LEC that characterize QCD in the flavor-SU(3) limit with vanishing up, down, and strange quark masses. Here we reevaluate some of the baryon masses on flavor-symmetric ensembles…

High Energy Physics - Lattice · Physics 2024-10-16 Matthias F. M. Lutz , Yonggoo Heo , Renwick J. Hudspith

Using the non-relativistic version of Borel sum rules, combined to the very accurate experimental information on the Charmonium and Upsilon spectra, we rigorously investigate the Euclidean mass of the Charm and Bottom quark. Our analysis is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Chabab , R. Markazi , E. H. Saidi

We consider the version of QCD in Euclidean Landau gauge in which the restriction to the Gribov region is implemented by a local, renormalizable action. This action depends on the Gribov parameter $\gamma$, with dimensions of (mass)$^4$,…

High Energy Physics - Phenomenology · Physics 2014-11-20 Daniel Zwanziger

We analyse the highly excited states in $QCD_2 (N_{c}\rightarrow\infty) $ with adjoint matter by using such general methods as dispersion relations, duality and unitarity. We find the Hagedorn-like spectrum $\rho(m) \sim m^{-a}\exp(\beta_H…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ian I. Kogan , Ariel R. Zhitnitsky

We define pure gauge $QCD$ on an infinite strip of width $L$. Techniques similar to those used in finite $TQCD$ allow us to relate $3D$-observables to pure $QCD_2$ behaviors. The non triviality of the $L \arrow 0$ limit is proven and the…

High Energy Physics - Theory · Physics 2009-10-28 A. Ferrando , A. Jaramillo

Results are presented of a Monte Carlo simulation of a 2+1 dimensional Gross-Neveu model with SU(2)xSU(2) chiral symmetry at non-zero baryon chemical potential, corresponding to non-zero baryon density. The phenomenon of quark pair…

High Energy Physics - Lattice · Physics 2009-10-31 Susan Morrison

In the framework of relativistic SU(2)_f baryon chiral perturbation theory we calculate the volume dependence of the nucleon mass up to and including O(p^4). Since the parameters in the resulting finite size formulae are fixed from the pion…

High Energy Physics - Lattice · Physics 2010-04-06 A. Ali Khan , T. Bakeyev , M. Göckeler , T. R. Hemmert , R. Horsley , A. C. Irving , B. Joó , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben

Dynamical chiral symmetry breaking (DCSB) in QED$_{3}$ with finite gauge boson mass is studied in the framework of the rainbow approximation of Dyson-Schwinger equations. By adopting a simple gauge boson propagator ansatz at finite…

High Energy Physics - Phenomenology · Physics 2010-11-08 Jian-Feng Li , Yu-Qing Zhou , Hong-Tao Feng , Wei-Min Sun , Hong-Shi Zong

We report on the results of the 2+1 flavour QCD simulations at nonzero isospin chemical potential performed at half the physical light quark mass. At low temperatures and large isospin chemical potential Bose-Einstein Condensation (BEC)…

High Energy Physics - Lattice · Physics 2025-02-03 Bastian B. Brandt , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi

We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing $N_f=2+1$ flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and…

The high energy limit of QCD is controlled by the small-$x$ part of a hadron wavefunction. I argue that this part is universal to all hadrons and is composed of a new form of matter: a Colored Glass Condensate. This matter is weakly…

High Energy Physics - Phenomenology · Physics 2017-08-23 Edmond Iancu

QCD in 1+1 dimensions is examined in the limit of a large number of colors and flavors. The Hamiltonian matrix is given in a Fock space spanned by 't Hooft meson states and, for the case of zero fermion mass, a submatrix is diagonalized…

High Energy Physics - Phenomenology · Physics 2010-11-01 Michael Engelhardt

We present results of simulations of Two Color QCD using two flavors of Wilson quark in the fundamental representation, at non-zero quark chemical potential mu, on an 8^3x16 lattice. Results for the quark number density, quark and gluon…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

While chiral symmetry breaking in the QCD vacuum is attributed to nonzero chiral condensate, an alternative symmetry breaking pattern with no chiral condensate is also possible, as pointed out by Stern. This hypothetical phase was excluded…

High Energy Physics - Phenomenology · Physics 2015-10-06 Takuya Kanazawa

We have explicitly shown that QCD is the color gauge invariant theory at non-zero mass gap as well. It has been defined as the value of the regularized full gluon self-energy at some finite point. The mass gap is mainly generated by the…

High Energy Physics - Phenomenology · Physics 2009-12-07 V. Gogokhia

We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero,…

High Energy Physics - Lattice · Physics 2016-02-17 P. Fritzsch , N. Garron , J. Heitger

Assuming that Bogoliubov's theory of weakly interacting dilute Bose gas defines a self-consistent model Hamiltonian, we investigate its thermodynamic limit as we take the volume to infinity. The infinite volume is taken via a sequence of…

Mathematical Physics · Physics 2026-03-12 Levent Akant , Ebru Dogan , Emine Ertugrul , O. Teoman Turgut

According to the Nielsen-Ninomiya No-Go theorem, the doubling of fermions on the lattice cannot be suppressed in a chiral theory. Whereas Wilson and staggered fermions suppress doublers with explicit breaking of chiral symmetry, the random…

High Energy Physics - Lattice · Physics 2009-11-11 Saul D. Cohen

A distinctive feature of the presence of spontaneous chiral symmetry breaking in QCD is the condensation of low modes of the Dirac operator near the origin. The rate of condensation must be equal to the slope of (Mpi^2 Fpi^2)/2 with respect…

High Energy Physics - Phenomenology · Physics 2015-03-25 Georg P. Engel , Leonardo Giusti , Stefano Lottini , Rainer Sommer

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini
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