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We exposit the eigenvalue distribution of the lattice Dirac operator in Quantum Chromodynamics with two colors (i.e. two-color QCD). We explicitly calculate all the eigenvalues in the presence of finite quark chemical potential \mu for a…

High Energy Physics - Phenomenology · Physics 2009-05-29 Kenji Fukushima

The present lattice QCD method can not study the hadron formation from the quarks and gluons. This is because it operates the unphysical QCD Hamiltonian of all the quarks plus antiquarks plus gluons inside the hadron on the physical energy…

General Physics · Physics 2018-11-27 Gouranga C Nayak

The spectral flow of the low-lying eigenvalues of the improved and unimproved Wilson-Dirac operator is studied on instanton-like configurations and on thermalized quenched configurations at various $\beta$-values and lattice sizes. We also…

High Energy Physics - Lattice · Physics 2007-05-23 Hubert Simma , Douglas Smith

We explore the interactions between a quark anti-quark pair in a thermal medium based on lattice QCD ensembles with $N_f = 2+1$ dynamical HISQ flavors. Our dataset spans the phenomenologically relevant temperature range between…

It has recently been argued that noisy intermediate-scale quantum computers may be used to optimize interpolating operator constructions for lattice quantum field theory (LQFT) calculations on classical computers. Here, two concrete…

High Energy Physics - Lattice · Physics 2023-03-29 A. Avkhadiev , P. E. Shanahan , R. D. Young

The interaction between static quarks is derived by applying many-body techniques to QCD in Coulomb gauge. The result is shown to be exact in the IR and UV limits, and agrees remarkably well with lattice computations.

High Energy Physics - Phenomenology · Physics 2017-08-23 E. S. Swanson , A. P. Szczepaniak

Multi-hadron operators are crucial for reliably extracting the masses of excited states lying above multi-hadron thresholds in lattice QCD Monte Carlo calculations. The construction of multi-hadron operators with significant coupling to the…

High Energy Physics - Lattice · Physics 2013-08-09 C. Morningstar , J. Bulava , B. Fahy , J. Foley , Y. C. Jhang , K. J. Juge , D. Lenkner , C. H. Wong

We study the heavy-heavy-light quark ($QQq$) system in a non-relativistic potential model, and investigate the quark motional effect on the inter-two-quark potential in baryons. We adopt the Hamiltonian with the static three-quark potential…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arata Yamamoto , Hideo Suganuma

In this letter, we extend the known results for the QCD potential between a static quark and its antiquark by computing the two-loop corrections to the colour-octet state.

High Energy Physics - Phenomenology · Physics 2009-11-10 B. A. Kniehl , A. A. Penin , Y. Schröder , V. A. Smirnov , M. Steinhauser

We compute the quark-antiquark potential employing the continuum action for QCD-like random lattice strings proposed by Siegel. The model leads to a potential similar to those obtained from Nambu-Goto string theory but has some…

High Energy Physics - Theory · Physics 2007-05-23 Arshad Momen , G. Dastegir Al-Quaderi

We compare the behavior of different lattice Dirac operators in gauge backgrounds which are lattice discretizations of a classical instanton. In particular we analyze the standard Wilson operator, a chirally improved Dirac operator and the…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Meinulf Göckeler , C. B. Lang , P. E. L. Rakow , Andreas Schäfer

The isospin, spin and parity dependent potential of a pair of static-light mesons is computed using Wilson twisted mass lattice QCD with two flavors of degenerate dynamical quarks. From the results a simple rule can be deduced stating,…

High Energy Physics - Lattice · Physics 2011-01-27 Marc Wagner

We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance $r$…

High Energy Physics - Lattice · Physics 2013-05-30 Alexander Rothkopf , Tetsuo Hatsuda , Shoichi Sasaki

Taking advantage of a semirelativistic and a full relativistic representation of the quark propagator in an external field we present an unified derivation of the semirelativistic potential and of a Bethe-Salpeter like equation for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 N. Brambilla , G. M. Prosperi

We update our numerical investigation of topological structures around static quarks in pure gauge QCD by results of the first runs including dynamical quarks. Simulations were performed on an $8^3\times4$ lattice, with $SU(3)$ Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , H. Markum , S. Olejnik , W. Sakuler

The boundary integral equation method ascertains explicit relations between localized surface phonon and plasmon polariton resonances and the eigenvalues of its associated electrostatic operator. We show that group-theoretical analysis of…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 R. C. Voicu , T. Sandu

We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which…

High Energy Physics - Lattice · Physics 2012-11-07 M. Göckeler , R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

QCD permits the existence of hybrid mesons that are made up of both quarks and gluons, including exotic states, i.e., quantum numbers prohibited for pure quark-antiquark states, with possible candidates found in experiments. We present…

In this paper we study the Laplace-Beltrami operator on quantum complex hyperbolic spaces. We describe its action in terms of certain $q$-difference operators of second order and prove spectral theorems for these operators. The…

Quantum Algebra · Mathematics 2017-01-02 Olga Bershtein

We present O(g^4) calculations of both planar and non-planar Wilson loops for various actions in the presence of sea quarks. In particular, the plaquette, the static potential and the static self energy are calculated to this order for…

High Energy Physics - Lattice · Physics 2007-05-23 Gunnar S. Bali , Peter Boyle