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The elements of the class of non-homogeneous differential operators which are based on the same vector field, when viewed as acting on appropriate Hilbert spaces, are shown to be isomorphic to each other. It shown that the replacement of a…

Mathematical Physics · Physics 2007-05-23 C. P. Viazminsky

Extraction of the mass spectrum from twisted mass lattice QCD is facilitated by respecting the octahedral group of rotations and accommodating the broken parity and flavor symmetries of the theory. In this work, group theory meson operators…

High Energy Physics - Lattice · Physics 2008-11-26 Derek Harnett , Randy Lewis , Robert G. Petry

Due to the dynamical, real-time, nature of the phenomenon, the study of jet quenching via lattice QCD simulations is not straightforward. In this contribution, however, we show how one can extract information about the momentum broadening…

High Energy Physics - Lattice · Physics 2014-12-08 Marco Panero , Kari Rummukainen , Andreas Schäfer

The notion of quasi-angular momentum is introduced to label the eigenstates of a Hamiltonian with a discrete rotational symmetry. This concept is recast in an operatorial form where the creation and annihilation operators of a Hubbard…

Other Condensed Matter · Physics 2009-11-13 Brandon M. Peden , Rajiv Bhat , Meret Krämer , Murray J. Holland

An approach for relating the nucleon excited states extracted from lattice QCD and the nucleon resonances of experimental data has been developed using the Hamiltonian effective field theory (HEFT) method. By formulating HEFT in the finite…

We study joint quasimodes of the Laplacian and one Hecke operator on compact congruence surfaces, and give conditions on the orders of the quasimodes that guarantee positive entropy on almost every ergodic component of the corresponding…

Dynamical Systems · Mathematics 2011-12-23 Shimon Brooks , Elon Lindenstrauss

We study hadron properties near the deconfining transition in the finite temperature lattice QCD. This paper focus on the heavy quarkonium states, such as $J/\psi$ meson. We compare the meson correlators above and below $T_c$ and discuss…

High Energy Physics - Lattice · Physics 2009-10-31 T. Umeda , R. Katayama , H. Matsufuru , O. Miyamura

We present preliminary results from a lattice QCD calculation of the H-dibaryon using two flavors of $\mathcal{O}(a)$ improved Wilson fermions. We employ local six-quark interpolating operators at the source with a combination of local…

High Energy Physics - Lattice · Physics 2015-11-06 Parikshit Junnarkar , Anthony Francis , Jeremy Green , Chuan Miao , Thomas Rae , Hartmut Wittig

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements…

High Energy Physics - Lattice · Physics 2009-11-07 W. Detmold , W. Melnitchouk , A. W. Thomas

Based on the recent construction of a self-adjoint momentum operator for a particle confined in a one-dimensional interval, we extend the construction to arbitrarily shaped regions in any number of dimensions. Different components of the…

Quantum Physics · Physics 2023-09-15 A. Mariani , U. -J. Wiese

We analyze a class of mean-field (MF) lattice-fermion Hamiltonians and construct the corresponding grand-canonical density operator for such system. New terms are introduced, which may be interpreted as local fugacities, molecular fields,…

Strongly Correlated Electrons · Physics 2009-09-01 Jakub Jȩdrak , Jozef Spałek

We construct a discrete non-hermitean momentum operator, which implements faithfully the non self-adjoint nature of momentum for a particle in a box. Its eigenfunctions are strictly limited to the interior of the box in the continuum limit,…

Quantum Physics · Physics 2024-03-21 Seyong Kim , Alexander Rothkopf

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i)…

High Energy Physics - Lattice · Physics 2009-10-28 C. Christou , A. Di Giacomo , H. Panagopoulos , E. Vicari

Mesons with masses below their lowest OZI-allowed strong-decay thresholds have very small widths. Thus, it is usually believed that they can be safely treated as pure quark-antiquark bound states in spectroscopy models. However, unitarised…

High Energy Physics - Phenomenology · Physics 2017-12-14 George Rupp , Eef van Beveren

We match continuum and lattice heavy-light four-fermion operators at one loop in perturbation theory. For the heavy quarks we use nonrelativistic QCD and for the massless light quarks the highly improved staggered quark action. We include…

High Energy Physics - Lattice · Physics 2014-10-02 Christopher Monahan , Elvira Gamiz , Ron Horgan , Junko Shigemitsu

Energies for excited isospin I=1/2 and I=3/2 states that include the nucleon and Delta families of baryons are computed using quenched, anisotropic lattices. Baryon interpolating field operators that are used include nonlocal operators that…

High Energy Physics - Lattice · Physics 2008-11-26 Subhasish Basak , R. G. Edwards , G. T. Fleming , K. J. Juge , A. Lichtl , C. Morningstar , D. G. Richards , I. Sato , S. J. Wallace

We propose the study of non-local gauge invariant operators to obtain an uncontaminated ground state for hadrons. The efficiency of the operators is shown by looking at the wave function of the first excited state, which has a node as a…

High Energy Physics - Lattice · Physics 2007-05-23 P. Lacock

Since gluons in QCD are interacting fundamental constituents just as quarks are, we expect that in addition to mesons made from a quark and an antiquark, there should also be glueballs and hybrids (bound states of quarks, antiquarks and…

We argue that lattice simulations of full QCD with varying quark mass are best conducted at fixed lattice spacing rather than at fixed $\beta$. We present techniques which enable this to be carried out effectively, namely the tuning in bare…

High Energy Physics - Lattice · Physics 2009-10-31 Alan C. Irving , UKQCD Collaboration

We report on the extraction of an excited spectrum of isoscalar mesons using lattice QCD. Calculations on several lattice volumes are performed with a range of light quark masses corresponding to pion masses down to about 400 MeV. The…

High Energy Physics - Lattice · Physics 2013-11-22 Jozef J. Dudek , Robert G. Edwards , Peng Guo , Christopher E. Thomas