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A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

Methodology · Statistics 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

We present results for the light, strange and charm quark masses using $N_f=2+1+1$ twisted mass fermion ensembles at three values of the lattice spacing, including two ensembles simulated with the physical value of the pion mass. The…

It is shown how to adapt the non-perturbative coupled cluster method of many-body theory so that it may be successfully applied to Hamiltonian lattice $SU(N)$ gauge theories. The procedure involves first writing the wavefunctions for the…

High Energy Physics - Lattice · Physics 2009-10-22 C. H. Llewellyn Smith , N. J. Watson

We report on the lattice calculations of the heavy quark potential at $T>0$ in 2+1 flavor QCD at physical quark masses using the Highly Improved Staggered Quark discretization. We study in detail the systematic effects in the determination…

High Energy Physics - Lattice · Physics 2018-03-14 P. Petreczky , J. Weber

We demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces in multi-ply multi-directional composite laminates. In…

Computational Engineering, Finance, and Science · Computer Science 2020-08-21 Gourab Ghosh , Ravindra Duddu , Chandrasekhar Annavarapu

We present results of dynamical simulations with 2 flavours of degenerate Wilson twisted mass quarks at maximal twist in the range of pseudo scalar masses from 300 to 550 MeV. The simulations are performed at one value of the lattice…

The effect of Stout smearing is investigated in numerical simulations with twisted mass Wilson quarks. The phase transition near zero quark mass is studied on 12^3x24, 16^3x32 and 24^3x48 lattices at lattice spacings a = 0.1 - 0.125 fm.

High Energy Physics - Lattice · Physics 2009-04-14 K. Jansen , C. McNeile , I. Montvay , C. Richards , E. E. Scholz , C. Urbach , U. Wenger

We present a systematic study of the effectiveness of light quark mass reweighting. This method allows a single lattice QCD ensemble, generated with a specific value of the dynamical light quark mass, to be used to determine results for…

High Energy Physics - Lattice · Physics 2013-03-14 Qi Liu , Norman H. Christ , Chulwoo Jung

We investigate the charmed baryon mass spectrum using the relativistic heavy quark action on 2+1 flavor PACS-CS configurations previously generated on $32^3 \times 64$ lattice. The dynamical up-down and strange quark masses are set to the…

High Energy Physics - Lattice · Physics 2019-08-14 Y. Namekawa

We address an old problem in lattice gauge theory - the computation of the spectrum and wave functions of excited states. Our method is based on the Hamiltonian formulation of lattice gauge theory. As strategy, we propose to construct a…

High Energy Physics - Lattice · Physics 2015-05-27 A. Hosseinizadeh , G. Melkonyan , H. Kröger , M. McBreen , N. Scheu

We employ a variational basis with a number of $\bar{q}q$ and $\pi\pi$ lattice interpolating fields with quantum numbers of the $\rho$ resonance to extract the discrete energy spectrum in a finite volume. In the elastic region, this…

High Energy Physics - Lattice · Physics 2014-04-21 C. B. Lang , Daniel Mohler , Sasa Prelovsek , Matija Vidmar

We present a load balancing strategy for hybrid particle-mesh methods that is based on domain decomposition and element-local time measurement. This new strategy is compared to our previous approach, which assumes a constant weighting…

Computational Physics · Physics 2018-11-14 P. Ortwein , T. Binder , S. Copplestone , A. Mirza , P. Nizenkov , M. Pfeiffer , C. -D. Munz , S. Fasoulas

This paper considers stochastic hybrid stress quadrilateral finite element analysis of plane elasticity equations with stochastic Young's modulus and stochastic loads. Firstly, we apply Karhunen-Lo$\grave{e}$ve expansion to stochastic…

Numerical Analysis · Mathematics 2015-02-24 Xiaojing Xu , Wenwen Fan , Xiaoping Xie

The EHP and the MCAP provide new rigorous weak variational formalism for a broad range of initial boundary value problems in mathematical physics and mechanics. Both approaches utilize the mixed formulation and lead to the development of…

Dynamical Systems · Mathematics 2013-11-19 Jinkyu Kim

In this article we present an intrinsec construction of foliated Brownian motion via stochastic calculus adapted to foliation. The stochastic approach together with a proposed foliated vector calculus provide a natural method to work on…

Differential Geometry · Mathematics 2014-03-21 Pedro J. Catuogno , Diego S. Ledesma , Paulo R. Ruffino

We report results for the masses of the flavour non-singlet light 0++, 1--, and 1+- mesons from unquenched lattice QCD at two lattice spacings. The twisted mass formalism was used with two flavours of sea quarks. For the 0++ and 1+- mesons…

High Energy Physics - Lattice · Physics 2019-08-13 K. Jansen , C. McNeile , C. Michael , C. Urbach

We systematically compare filtering methods used to extract topological excitations from lattice gauge configurations. We show that there is a strong correlation of the topological charge densities obtained by APE and Stout smearing.…

High Energy Physics - Lattice · Physics 2009-05-19 F. Bruckmann , F. Gruber , C. B. Lang , M. Limmer , T. Maurer , A. Schäfer , S. Solbrig

We present first results for the pseudoscalar decay constants $f_K$, $f_D$ and $f_{D_s}$ from lattice QCD with N_f=2+1+1 flavours of dynamical quarks. The lattice simulations have been performed by the European Twisted Mass collaboration…

High Energy Physics - Lattice · Physics 2010-12-02 Federico Farchioni , Gregorio Herdoiza , Karl Jansen , Marcus Petschlies , Carsten Urbach , ETM collaboration

Lattice results are presented for the meson spectrum of 1+1 dimensional gauge theory at large $N$, using the Twisted Eguchi-Kawai model. Comparison is made to the results obtained by `t Hooft in the light cone gauge.

High Energy Physics - Lattice · Physics 2016-12-23 Margarita García Pérez , Antonio González-Arroyo , Liam Keegan , Masanori Okawa

Heavy-light mesons can be studied using the 1/M expansion of NRQCD, provided the heavy quark mass is sufficiently large. Calculations of the S-wave charmed meson masses from a classically and tadpole-improved action are presented. A…

High Energy Physics - Lattice · Physics 2014-11-17 Randy Lewis , R. M. Woloshyn