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Many-body densities and correlation functions are of paramount importance for understanding quantum many-body physics. Here, we present a method to compute them; our approach is general and based on the action of bosonic or fermionic…

Quantum Gases · Physics 2021-02-23 Camille Lévêque , Fritz Diorico , Jörg Schmiedmayer , Axel U. J. Lode

I give an overview of efforts in the last year to calculate interactions among hadrons using lattice QCD. Results discussed include the extraction of low-energy phase shifts and three-body interactions, and the study of pion and kaon…

High Energy Physics - Lattice · Physics 2010-04-15 Silas R. Beane

We discuss two new DoS approaches for finite density lattice QCD. The paper extends a recent presentation of the new techniques based on Wilson fermions, while here we now discuss and test the case of finite density QCD with staggered…

High Energy Physics - Lattice · Physics 2019-12-12 Christof Gattringer , Michael Mandl , Pascal Törek

We deliver an exploratory lattice QCD examination of the $K^\ast(892)$ meson decay width with the help of the p-wave scattering phase $\delta_1$ of pion-kaon ($\pi K$) system in the isospin $I=1/2$ channel, which are extracted by the…

High Energy Physics - Lattice · Physics 2012-11-09 Ziwen Fu , Kan Fu

I review some recent lattice results on studying chiral and deconfinement transition in QCD at finite temperature and density, as well as properties of strongly interacting matter at high temperatures. I discuss lattice results on the…

High Energy Physics - Lattice · Physics 2013-01-29 P. Petreczky

This chapter provides a pedagogical introduction to theoretical studies of hadrons based on the fundamental theory of strong interactions - Quantum ChromoDynamics. A perturbative expansion in the strong coupling is not applicable at…

High Energy Physics - Lattice · Physics 2025-05-16 Sasa Prelovsek

The quest to understand three-body dynamics from first-principle QCD includes the study of non-resonant and resonant systems. The isospin $I=2$ system is of particular interest having no three-body resonance but featuring a resonance in a…

High Energy Physics - Lattice · Physics 2026-01-26 Yuchuan Feng , Chris Culver , Michael Döring , Maxim Mai , Andrei Alexandru , Frank X. Lee

We review our results for lattice QCD at finite temperature and density from analytical and numerical calculations with Wilson fermions and overlap fermions.

High Energy Physics - Lattice · Physics 2009-04-25 Xiang-Qian Luo , He-Sheng Chen , Xiao-Lu Yu

I review lattice QCD calculations that compute the masses of the flavour singlet pseudoscalar mesons. I describe the progress in computing the mass spectrum of light 0++ mesons using lattice QCD. I also compare the results for basic…

High Energy Physics - Lattice · Physics 2009-07-01 Craig McNeile

Quantum Chromodynamics (QCD) at finite density is most often formulated on the lattice as a grand canonical ensemble. Since lattice QCD has a complex action problem at finite baryo-chemical potential ($\mu_B$), its results at finite density…

We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities at the physical point, employing the complex Langevin…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Mandl , Dénes Sexty , Daniel Unterhuber

QCD matter at finite temperature and density is a subject that has witnessed very impressive theoretical developments in the recent years. In this review I will discuss some new insights on the microscopic degrees of freedom of the QCD…

High Energy Physics - Lattice · Physics 2021-09-22 Sayantan Sharma

The vast majority of hadrons observed in nature are not stable under the strong interaction, rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron…

High Energy Physics - Lattice · Physics 2018-05-09 Raul A. Briceno , Jozef J. Dudek , Ross D. Young

In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information…

Nuclear Theory · Physics 2014-11-18 S. R. Beane , P. F. Bedaque , A. Parreno , M. J. Savage

Charting the phase diagram of Quantum Chromodynamics (QCD) at large density is a challenging task due to the complex action problem in lattice simulations. Through simulations at imaginary baryon chemical potential $\mu_B$ we observe that,…

High Energy Physics - Lattice · Physics 2025-11-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Piyush Kumar , Paolo Parotto , Attila Pásztor , Chik Him Wong

In this article I provide an overview of the current state of scattering within lattice QCD, along with ongoing projects that examine weak decays involving scattering states as either final or intermediate states. Significant progress has…

High Energy Physics - Lattice · Physics 2025-02-03 Felix Erben

New developments in the study of multi-meson systems are reviewed. We highlight a new recursive algorithm for generating the requisite contractions needed for studying complex systems of mesons involving large numbers of particles or…

High Energy Physics - Lattice · Physics 2011-01-14 William Detmold , Brian Smigielski

A concise review of the progress of lattice calculations at non-zero density since QM2006 is given, with emphasis on the high baryon density, low temperature domain. Possibilities for exploring densities higher than those studied by…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo

First principle calculation of the QCD spectral functions (SPFs) based on the lattice QCD simulations is reviewed. Special emphasis is placed on the Bayesian inference theory and the Maximum Entropy Method (MEM), which is a useful tool to…

High Energy Physics - Lattice · Physics 2009-10-31 M. Asakawa , T. Hatsuda , Y. Nakahara

We study the meson-meson and meson-baryon interactions in lattice QCD. The simulation is performed on 20^3 * 24 lattice at \beta=5.7 using Wilson gauge action and Wilson fermion at the quenched level. By adopting one static quark for each…

High Energy Physics - Lattice · Physics 2009-11-11 Takumi Doi , Toru T. Takahashi , Hideo Suganuma
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