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We investigate the properties of heavy quarkonia at finite temperature in detail using QCD sum rules. Extending previous analyses, we take into account a temperature dependent effective continuum threshold and derive constraints on the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Morita , Su Houng Lee

I begin by discussing the basic ideas of quantum field theory (QFT). I provide a review of symmetries in physics and then move on to discuss the quark model. I then review lattice gauge theory with particular attention paid to lattice QCD…

High Energy Physics - Lattice · Physics 2009-09-29 W Armour

We develop the formalism for the evaluation of density-density correlators in lattice QCD that includes techniques for the computation of the all-to-all propagators involved. A novel technique in this context is the implementation of the…

High Energy Physics - Lattice · Physics 2009-02-23 Constantia Alexandrou , Giannis Koutsou

We present an algorithm to compute correlation functions for systems with the quantum numbers of many identical mesons from lattice quantum chromodynamics (QCD). The algorithm is numerically stable and allows for the computation of $n$-pion…

Simulations of QCD are known to suffer from serious critical slowing down towards the continuum limit. This is particularly prominent in the topological charge. We investigate the severeness of the problem in the range of lattice spacings…

High Energy Physics - Lattice · Physics 2010-11-05 Stefan Schaefer , Rainer Sommer , Francesco Virotta

I explain how to use a simple method to extract the physics of lattice Hamiltonian systems which are not easily analyzed by exact or other numerical methods. I will then use this method to establish the relationship between QCD and a…

High Energy Physics - Theory · Physics 2014-11-18 Marvin Weinstein

We provide a 0.8\%-accurate determination of $V_{cs}$ from combining experimental results for the differential rate of $D \rightarrow K$ semileptonic decays with precise form factors that we determine from lattice QCD. This is the first…

High Energy Physics - Lattice · Physics 2021-09-01 Bipasha Chakraborty , W. G. Parrott , C. Bouchard , C. T. H. Davies , J. Koponen , G. P. Lepage

We present an OpenCL-based Lattice QCD application using a heatbath algorithm for the pure gauge case and Wilson fermions in the twisted mass formulation. The implementation is platform independent and can be used on AMD or NVIDIA GPUs, as…

High Energy Physics - Lattice · Physics 2013-09-09 Matthias Bach , Volker Lindenstruth , Owe Philipsen , Christopher Pinke

In lattice QCD, obtaining properties of heavy-light mesons has been easier said than done. Focusing on the $B$ meson's decay constant, it is argued that towards the end of 1997 the last obstacles were removed, at least in the quenched…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas S. Kronfeld

After a brief discussion of the promise and limitations of the lattice technique, I review lattice QCD results for several quantities of phenomenological interest. These are: matrix elements for heavy-to-light meson decays, leptonic decay…

High Energy Physics - Lattice · Physics 2007-05-23 Jonathan M Flynn

We derive the two-point spectral correlation function of the Dirac operator with a specific external source in the $\epsilon$-regime of QCD. This correlation function has a unique and strong dependence on $F_\pi$, and thus provides an novel…

High Energy Physics - Lattice · Physics 2009-11-11 P. H. Damgaard , Urs M. Heller , K. Splittorff , B. Svetitsky

The electrical conductivity in the hot phase of the QCD plasma is extracted from a quenched lattice measurement of the Euclidean time vector correlator for 1.5 < T/T_c < 3. The spectral density in the vicinity of the origin is examined…

High Energy Physics - Lattice · Physics 2009-11-10 Sourendu Gupta

The calculation of physical quantities by lattice QCD simulations requires in some important cases the determination of the inverse of a very large matrix. In this article we describe how stochastic estimator methods can be applied to this…

High Energy Physics - Lattice · Physics 2007-05-23 S. Güsken

For a long time, lattice QCD was unable to address the $x$-dependence of partonic distributions, direct access to which is impossible in Euclidean spacetime. Recent years have brought a breakthrough for such calculations when it was…

High Energy Physics - Lattice · Physics 2022-02-16 Krzysztof Cichy

Different strategies for the computation of QCD low-energy couplings by matching lattice QCD with the chiral effective theory are reviewed. After recalling the main features of the chiral effective theory in the epsilon- and p- regimes, the…

High Energy Physics - Lattice · Physics 2008-11-26 Silvia Necco

In a recent paper by the same authors, we provided a theoretical foundation for the component-by-component (CBC) construction of lattice algorithms for multivariate $L_2$ approximation in the worst case setting, for functions in a periodic…

Numerical Analysis · Mathematics 2019-10-16 Ronald Cools , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan

The $\Lambda_b \rightarrow \Lambda_c \ell^- \bar{\nu}_\ell$ process has been discussed in the literatures as a probe for new physics. This process receives contributions in new physics models from scalar, vector, and tensor hadronic…

High Energy Physics - Phenomenology · Physics 2020-10-02 Bradley Smith , Ahmed Rashed

We apply heavy-quark effective theory to separate long- and short-distance effects of heavy quarks in lattice gauge theory. In this approach, the inverse heavy-quark mass and the lattice spacing are treated as short distances, and their…

High Energy Physics - Lattice · Physics 2014-11-17 Junpei Harada , Shoji Hashimoto , Ken-Ichi Ishikawa , Andreas S. Kronfeld , Tetsuya Onogi , Norikazu Yamada

We propose a numerical method of estimating various physical quantities in lattice (supersymmetric) quantum mechanics. The method consists only of deterministic processes such as computing a product of transfer matrix, and has no…

High Energy Physics - Lattice · Physics 2018-07-04 Daisuke Kadoh , Katsumasa Nakayama

We perform a nonperturbative lattice calculation of the complex phase and modulus of the pion form factor in the timelike momentum region using the finite-volume technique. We use two ensembles of 2+1-flavor overlap fermion at pion masses…

High Energy Physics - Lattice · Physics 2015-03-18 Xu Feng , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko