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The goal of these lectures, oriented towards the students just entering the field, is to provide an elementary introduction to QCD and the physics of nuclear interactions at high energies. We first introduce the general structure of QCD and…

Nuclear Theory · Physics 2009-11-07 D. E. Kharzeev , J. Raufeisen

We compute the free energy of the chiral soliton lattice state in quantum chromodynamics (QCD) at nonzero baryon chemical potential, temperature and external magnetic field at the next-to-leading order of chiral perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2024-01-10 Tomáš Brauner , Helena Kolešová

These lectures are directed at a level suitable for graduate students in experimental and theoretical High Energy Physics. They are intended to give an introduction to the theory and phenomenology of quantum chromodynamics (QCD) as it is…

High Energy Physics - Phenomenology · Physics 2015-03-19 Peter Skands

Soon after the formulation of Quantum Chromodynamics in 1972 its regularization on Euclidean space-time lattices had been introduced by Kenneth Wilson. This paved ground for numerical studies of non-perturbative aspects of QCD, first shown…

High Energy Physics - Lattice · Physics 2022-12-27 Frithjof Karsch

I give a brief introduction to the goals, challenges, and technical difficulties of lattice QCD thermodynamics and present some recent results from the HotQCD collaboration for the crossover temperature, equation of state, and other…

High Energy Physics - Lattice · Physics 2011-01-04 Carleton DeTar

We simulate lattice QCD with two flavors of Wilson fermions at imaginary baryon chemical potential. Results for the baryon number density computed in the confining and deconfining phases at imaginary baryon chemical potential are used to…

High Energy Physics - Lattice · Physics 2018-08-29 V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov , M. Wakayama

We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\mu_B$. The continuous time framework is based on sending $N_\tau\rightarrow…

High Energy Physics - Lattice · Physics 2019-12-23 Marc Klegrewe , Wolfgang Unger

The interaction of spatially extended heavy baryons is investigated in the framework of lattice QCD with dynamical quarks. It is shown that the expected dipole forces have a very short range and that the baryon-antibaryon interaction is…

High Energy Physics - Lattice · Physics 2009-10-22 K. Rabitsch , H. Markum , W. Sakuler

This is the Lattice '95 review of recent progress towards accurate QCD simulations using very coarse lattices. This development could have revolutionary implications for low energy (nonperturbative) QCD.

High Energy Physics - Lattice · Physics 2009-10-28 Peter Lepage

QCD at non-zero chemical potential ($\mu$) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm…

High Energy Physics - Lattice · Physics 2015-10-22 D. K. Sinclair , J. B. Kogut

Exploration of the QCD phase diagram is pivotal in particle and nuclear physics. We construct a full four-dimensional equation of state of QCD with net baryon, electric charge, and strangeness by extending the NEOS model beyond the…

Nuclear Theory · Physics 2025-03-06 Akihiko Monnai , Grégoire Pihan , Björn Schenke , Chun Shen

A survey is given on selected topics of physics in the non-perturbative, hadronic sector of the QCD phase diagramme. Following a brief QCD primer, some highlights of Lattice QCD are summarised. Chiral effective field theory as the…

Nuclear Theory · Physics 2007-05-23 Wolfram Weise

I discuss recent results on lattice QCD calculations with the main emphasis on the thermodynamics of the crossover region, restoration of the chiral symmetry and fluctuations of conserved charges as indicator of deconfinement, that may also…

High Energy Physics - Lattice · Physics 2015-06-15 Alexei Bazavov

We construct the QCD equation of state at finite chemical potentials including net baryon, electric charge, and strangeness, based on the conserved charge susceptibilities determined from lattice QCD simulations and the equation of state of…

Nuclear Theory · Physics 2019-08-21 Akihiko Monnai , Björn Schenke , Chun Shen

We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks. This theory is of interest for studies at non-zero density as the sign…

High Energy Physics - Lattice · Physics 2025-08-20 Michael Fromm , Owe Philipsen , Wolfgang Unger , Christopher Winterowd

We review recent results on QCD at finite temperature and non-vanishing baryon number density. We focus on observables which are of immediate interest to experimental searches for the Quark Gluon Plasma, i.e. the phase transition…

High Energy Physics - Lattice · Physics 2015-06-25 Frithjof Karsch

Quantum chromodynamics (QCD) at non-zero isospin chemical potential is studied in a canonical approach by analyzing systems of fixed isospin number density. To construct these systems, we develop a range of new algorithms for performing the…

High Energy Physics - Lattice · Physics 2013-05-30 William Detmold , Kostas Orginos , Zhifeng Shi

Recent studies have claimed that the strong $CP$ problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the lattice. We study the effect of the topological term on a…

High Energy Physics - Lattice · Physics 2025-02-17 David Albandea , Guilherme Catumba , Alberto Ramos

We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryonic chemical potential by analytic continuation from results obtained at imaginary chemical potentials. We present…

High Energy Physics - Lattice · Physics 2009-10-12 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Chiara Manneschi , Alessandro Papa

Anchoring our understanding of low-energy nuclear and hadronic physics to the fundamental theory of strong interactions, QCD, remains and outstanding challenge for physicists. Lattice QCD and chiral perturbation theory are the most powerful…

High Energy Physics - Lattice · Physics 2013-05-06 Andre Walker-Loud
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