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The intention of these lecture notes is to outline the basics of lattice hadron spectroscopy to students from other fields of physics, e.g. from experimental particle physics, who do not necessarily have a background in quantum field…

High Energy Physics - Lattice · Physics 2013-10-08 Johannes Weber , Stefan Diehl , Till Kuske , Marc Wagner

Lattice QCD at finite chemical potential is difficult due to the sign problem. We use stochastic quantization and complex Langevin dynamics to study this issue. First results for QCD in the hopping expansion are encouraging. U(1) and SU(3)…

High Energy Physics - Lattice · Physics 2010-01-21 Gert Aarts , Ion-Olimpiu Stamatescu

A general introduction to lattice QCD suitable for graduate students in experimental and theoretical particle physics. Aimed at those who want to know how lattice calculations are done, and what the pitfalls are, without having to do the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christine Davies

In these lectures, we introduce finite temperature QCD on the lattice to non-experts of the subject. We first formulate lattice QCD both at zero and finite temperatures. Then a section is devoted to the topic of improved lattice actions…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kanaya

I review recent new lattice QCD results on a few selected topics which are relevant to the heavy ion physics community. Special emphasis is put on the QCD phase diagram towards the chiral limit and at nonzero baryon density as well as the…

High Energy Physics - Lattice · Physics 2021-02-03 Heng-Tong Ding

In this Letter we employ lattice simulations to search for the critical point of quantum chromodynamics (QCD). We search for the onset of a first order QCD transition on the phase diagram by following contours of constant entropy density…

A general introduction into the subject aimed at a general theoretical physics audience. We introduce the sign problem posed by finite density lattice QCD, and we discuss the main methods proposed to circumvent it, with emphasis on the…

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

A brief overview of the QCD phase diagram at nonzero temperature and density is provided. It is explained why standard lattice QCD techniques are not immediately applicable for its determination, due to the sign problem. We then discuss a…

High Energy Physics - Lattice · Physics 2014-02-06 Gert Aarts

Recent results on the QCD phase diagram are reviewed. We begin with a detailed introduction of lattice techniques. Then results at vanishing chemical potential are presented. The order of the phase transition, the transition temperature and…

High Energy Physics - Phenomenology · Physics 2009-08-25 Z. Fodor , S. D. Katz

I review recent results on phase structure and equation of state of strong interaction matter from lattice QCD. Particular emphasis is given to the axes where direct simulations are possible and results are obtained with sufficient control…

High Energy Physics - Lattice · Physics 2025-12-12 Bastian B. Brandt

I review recent progress in lattice QCD at non-zero temperature whith emphasis on the calculations of equation and the deconfinement as well as the chiral aspects of the QCD transition at non-zero temperature. I also briefly discuss meson…

Nuclear Theory · Physics 2010-12-21 P. Petreczky

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a…

High Energy Physics - Lattice · Physics 2021-11-08 Owe Philipsen

Most lattice studies of hot and dense QCD matter rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on the reliability of such methods. We studied…

High Energy Physics - Lattice · Physics 2022-01-05 Attila Pasztor , Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Chik Him Wong

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen

This is a review of selected recent developments in finite-temperature lattice QCD. The focus is on the properties of the chiral crossover region, deconfinement and fluctuations of conserved charges, the equation of state, properties of…

High Energy Physics - Lattice · Physics 2015-05-22 Alexei Bazavov

I review our current understanding of the properties of strongly interacting matter at high temperatures, based upon numerical calculations in lattice QCD. I discuss the chiral and deconfining aspects of the QCD transition, the equation of…

High Energy Physics - Lattice · Physics 2015-06-04 P. Petreczky

This course consists of two lectures. In the first lecture I discuss why a non perturbative formulation of QCD is needed, and I show that lattice formulation copes with this need, even if it mainly produces numerical results. In the second…

High Energy Physics - Lattice · Physics 2009-11-07 A. Di Giacomo

In this review, I recall the nature and the inevitability of the "sign problem" which plagues attempts to simulate lattice QCD at finite baryon density. I present the main approaches used to circumvent the sign problem at small chemical…

High Energy Physics - Lattice · Physics 2014-11-20 Philippe de Forcrand

Lectures given at the Summer School on "Modern perspectives in lattice QCD", Les Houches, August 3-28, 2009

High Energy Physics - Lattice · Physics 2013-05-07 Owe Philipsen

I give a brief introduction to lattice QCD for non-specialists.

High Energy Physics - Lattice · Physics 2015-01-20 Christian Hoelbling