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An extended two-hadron operator is developed to extract the spectra of irreducible representations (irreps) in the finite volume. The irreps of the group for the finite volume system are projected using a coordinate-space operator. The…

High Energy Physics - Lattice · Physics 2022-05-04 Jia-Jun Wu , Waseem Kamleh , Derek B. Leinweber , Yan Li , Gerrit Schierholz , Ross D. Young , James M. Zanotti

This work investigates the scattering coefficients for inverse medium scattering problems. It shows some fundamental properties of the coefficients such as symmetry and tensorial properties. The relationship between the scattering…

Analysis of PDEs · Mathematics 2013-10-24 Habib Ammari , Yat Tin Chow , Jun Zou

We present a study of ${\cal O}(2000)$ (quenched) lattice configurations from the APE collaboration, for $6.0\le\beta\le 6.4$ using both the Wilson and the SW-Clover fermion action. We determine the light hadronic spectrum and meson decay…

High Energy Physics - Lattice · Physics 2016-09-01 C. R. Allton , V. Gimenez , L. Giusti , F. Rapuano

We derive a form of spectral representations for all bosonic and fermionic propagators in the real-time formulation of field theory at finite temperature and chemical potential. Besides being simple and symmetrical between the bosonic and…

High Energy Physics - Phenomenology · Physics 2009-07-22 S. Mallik , Sourav Sarkar

Gauge link smearing is widely used in lattice QCD computations. The idea is to remove the local (UV) fluctuations of the gauge field configurations while keeping the longer-range (IR) properties intact. Important applications are in the…

High Energy Physics - Lattice · Physics 2011-05-03 F. Geles , C. B. Lang

We study baryons on the lattice with a special focus on excited states. For that purpose we construct several interpolators which differ in their Dirac structure. These interpolators are built from Jacobi smeared quarks with different…

High Energy Physics - Lattice · Physics 2007-05-23 Tommy Burch , Christof Gattringer , Leonid Ya. Glozman , Christian Hagen , Dieter Hierl , C. B. Lang , Andreas Schaefer

Covariantly smeared sources are commonly used in lattice QCD to enhance the projection onto the ground state. Here we investigate the dependence of their shape on the gauge field background and find that the presence of localized…

High Energy Physics - Lattice · Physics 2013-09-13 Georg M. von Hippel , Benjamin Jäger , Thomas D. Rae , Hartmut Wittig

The transport of charged particles or photons in a scattering medium can be modelled with a Boltzmann equation. The mathematical treatment for scattering in such scenarios is often simplified if evaluated in a frame where the scattering…

Plasma Physics · Physics 2024-02-27 Nils W. Schween , Brian Reville

We discuss the non perturbative approach to the problem of high-energy hadron-hadron (dipole-dipole) scattering at low momentum transfer by means of numerical simulations in Lattice Gauge Theory.

High Energy Physics - Lattice · Physics 2009-11-13 M. Giordano , E. Meggiolaro

Recent studies on lattice QCD have shown the emergence of large symmetries at high temperature. This includes not only the restoration $SU(n_F)_L \times SU(n_F)_R$, but also the effective emergence of an unexpected symmetry group, namely…

High Energy Physics - Lattice · Physics 2021-07-02 Marco Catillo

The electromagnetic propagator associated with the localized collective magnetoplasmon excitations in a semiconductor superlattice with broken translational symmetry, is calculated analytically within linear response theory. We discuss the…

Condensed Matter · Physics 2009-10-31 J. H. Reina , J. C. Granada , N. F. Johnson

Recently, random matrix theory predictions for the distribution of low-lying Dirac operator eigenvalues have been extended to include lattice effects for both staggered and Wilson fermions. We computed low-lying eigenvalues for the…

High Energy Physics - Lattice · Physics 2011-12-09 Urs M. Heller

We use Bayes' probability theorem to analyze many-pole fits of hadron propagators. An alternative method of estimating values and uncertainties of the fit parameters is offered, which has certain advantages over the conventional methods.…

High Energy Physics - Lattice · Physics 2009-10-28 David Makovoz

A large time expansion for the propagator associated to a semiclassical non-selfadjoint magnetic Schr\"odinger operator is established, in terms of the low lying eigenvalues of the operator.

Analysis of PDEs · Mathematics 2018-10-11 Ben Bellis , Michael Hitrik

We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

High Energy Physics - Lattice · Physics 2010-10-27 Xin Li , Ying Chen , Guo-Zhan Meng , Xu Feng , Ming Gong , Song He , Gang Li , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma , Xiang-Fei Meng , Yan Shen , Jian-Bo Zhang

Multigrid (MG) methods for the computation of propagators of staggered fermions in non-Abelian gauge fields are discussed. MG could work in principle in arbitrarily disordered systems. The practical variational MG methods tested so far with…

High Energy Physics - Lattice · Physics 2016-08-31 Thomas Kalkreuter

The propagation of wave fields and their interactions with matter are important for established and emerging fields in optical sciences. Efficient methods for predicting such behaviour have been employed routinely for coherent sources.…

We study the transformation of the dressed electron propagator and the general $N$-point functions under a change in the covariant gauge of internal photon propagators. We re-establish the well known Landau-Khalatnikov-Fradkin…

High Energy Physics - Theory · Physics 2020-12-22 José Nicasio , James P. Edwards , Christian Schubert , Naser Ahmadiniaz

We present a new exact algorithm for estimating all elements of the quark propagator. The advantage of the method is that the exact all-to-all propagator is reproduced in a large but finite number of inversions. The efficacy of the…

High Energy Physics - Lattice · Physics 2007-05-23 Alan O Cais , K. Jimmy Juge , Mike J. Peardon , Sinead M. Ryan , Jon-Ivar Skullerud

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume…

High Energy Physics - Lattice · Physics 2009-10-31 J. P. Ma