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Point-to-point correlation functions of hadron currents in the QCD vacuum are calculated on a lattice and analyzed using dispersion relations, providing physical information down to small spatial separations. Qualitative agreement with…

High Energy Physics - Lattice · Physics 2008-11-26 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

We present an efficient method for extracting energy levels from lattice QCD correlation functions by computing the eigenvalues of the transfer matrix associated with the lattice QCD Hamiltonian. While mathematically and numerically…

High Energy Physics - Lattice · Physics 2025-06-25 Debsubhra Chakraborty , Dhruv Sood , Archana Radhakrishnan , Nilmani Mathur

The effect of using smeared sink operators on the hadron spectrum is studied for quenched twisted mass lattice QCD with up, down, and strange quarks. Gaussian smearing is used for quark fields, and stout link smearing for gauge fields.…

High Energy Physics - Lattice · Physics 2008-11-26 Abdou M. Abdel-Rehim , Randy Lewis , Robert G. Petry , R. M. Woloshyn

Smearing the bare quantum fields in lattice calculations before applying composite hadron creation operators has a long record of substantially improving overlaps onto low-lying energy eigenstates. A technique called distillation which…

High Energy Physics - Lattice · Physics 2022-11-15 Francesco Knechtli , Tomasz Korzec , Michael Peardon , Juan Andrés Urrea-Niño

In high energy collision experiments with multiple hadron productions, the momentum distribution of the measured hadron pair shows a correlation due to the final state hadron interactions and the quantum statistics. In the past, this…

High Energy Physics - Phenomenology · Physics 2025-04-15 Tetsuo Hyodo

In this paper, we report recent developments of the HAL QCD method for two hadron systems which contain quark annihilation processes using all-to-all quark propagators. We employ the hybrid method for all-to-all propagators, which combines…

High Energy Physics - Lattice · Physics 2019-12-02 Yutaro Akahoshi , Sinya Aoki , Tatsumi Aoyama , Takaya Miyamoto , Kenji Sasaki

We present the results of high-statistics calculations of correlation functions generated with single-baryon interpolating operators on an ensemble of dynamical anisotropic gauge-field configurations generated by the Hadron Spectrum…

Various light-quark channel current-current correlators are subjected to the concept of a non-perturbative component of coarse graining in operator product expansions introduced in a parallel work. This procedure allows for low-energy…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

Lattice QCD calculations of disconnected quark loop operators are extremely computer time-consuming to evaluate. To compute these diagrams using lattice techniques, one generally uses stochastic noise methods. These employ a randomly…

High Energy Physics - Lattice · Physics 2019-06-26 Suman Baral , Travis Whyte , Walter Wilcox , Ronald B. Morgan

We propose a new noise subtraction method, which we call "eigenspectrum subtraction", which uses low eigenmode information to suppress statistical noise at low quark mass. This is useful for lattice calculations involving disconnected loops…

High Energy Physics - Lattice · Physics 2010-01-26 Victor Guerrero , Ronald B. Morgan , Walter Wilcox

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with $m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume L\"uscher…

High Energy Physics - Lattice · Physics 2021-11-16 Colin Morningstar , John Bulava , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Amy Nicholson , Sarah Skinner , André Walker-Loud

We develop a generalization of low-mode averaging in which the number of low quark modes of the Dirac operator required for a constant variance reduction can be kept independent of the volume by exploiting their local coherence. Typically…

High Energy Physics - Lattice · Physics 2024-12-10 Roman Gruber , Tim Harris , Marina Krstic Marinkovic

We study the light hadron correlators near the deconfining transition by extracting the spectral function on quenched anisotropic lattices. We adopt the method successfully applied to the charmonium systems: the use of the smeared operators…

High Energy Physics - Lattice · Physics 2009-11-10 Takashi Umeda , Kouji Nomura , Hideo Matsufuru

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

It has been suggested that the density of states approach to performing lattice simulations in QCD with nonzero chemical potential can be modified to improve the signal to noise ratio by performing a cumulant expansion of the complex phase…

High Energy Physics - Lattice · Physics 2013-11-20 Jeff Greensite , Joyce C. Myers , K. Splittorff

We introduce a new method for estimating the covariance matrix for the galaxy correlation function in surveys of large-scale structure. Our method combines simple theoretical results with a realistic characterization of the survey to…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Ross O'Connell , Daniel Eisenstein , Mariana Vargas , Shirley Ho , Nikhil Padmanabhan

Higher criticism is a method for detecting signals that are both sparse and weak. Although first proposed in cases where the noise variables are independent, higher criticism also has reasonable performance in settings where those variables…

Statistics Theory · Mathematics 2010-10-05 Peter Hall , Jiashun Jin

Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the 3-$\pi^+$ and 3-$K^+$…

High Energy Physics - Lattice · Physics 2010-08-16 William Detmold , Martin J. Savage

Recent results in computing excited-state energies and meson-meson scattering phase shifts in lattice QCD are presented. A stochastic method of treating the low-lying modes of quark propagation that exploits Laplacian Heaviside quark-field…

High Energy Physics - Lattice · Physics 2015-10-02 Colin Morningstar , John Bulava , Brendan Fahy , Jacob Fallica , Andrew Hanlon , Ben Hoerz , Keisuke Juge , Chik Him Wong

In this work, we explore a numerical approach for performing the inverse Laplace transformation, with an emphasis on achieving stability and robustness under noisy conditions. Our quadrature-based method integrates reparameterization, data…

High Energy Physics - Lattice · Physics 2026-03-03 Marco Aliberti , Francesco Di Renzo , Petros Dimopoulos , Demetrianos Gavriel