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QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

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

Lattice techniques are the most reliable ones to investigate the QCD phase diagram in the temperature-baryon density (chemical potential) plane. These techniques are, however, well-known to be saddled with a variety of problems at nonzero…

High Energy Physics - Lattice · Physics 2021-12-01 Rajiv V. Gavai

I review recent progress in the determination of the QCD phase diagram at finite temperature, in investigations of the nature of the transition or crossover from the hadronic phase to the quark-gluon plasma phase and in the determination of…

High Energy Physics - Lattice · Physics 2008-11-26 Urs M. Heller

A quantitative investigation into the modification of ground-state field structures in two-color QCD (QC$_2$D) is presented at finite chemical potential. Using lattice simulations with Wilson gauge and fermion actions, we explore the…

High Energy Physics - Lattice · Physics 2026-03-25 Ragib F. Hasan , Matthew Cummins , Waseem Kamleh , Dale Lawlor , Derek Leinweber , Ian van Schalkwyk , Jon-Ivar Skullerud

The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

High Energy Physics - Lattice · Physics 2026-04-23 Shinji Ejiri , Masanari Koiida

A longstanding issue in the study of quantum chromodynamics (QCD) is its behavior at nonzero baryon density, which has implications for many areas of physics. The path integral has a complex integrand when the quark chemical potential is…

High Energy Physics - Lattice · Physics 2021-11-22 Moses A. Schindler , Stella T. Schindler , Michael C. Ogilvie

Long-range interactions in finite density QCD necessitate a non-perturbative approach in order to reliably map out the key features and spectrum of the QCD phase diagram. However, the complex nature of the fermion determinant in this sector…

High Energy Physics - Lattice · Physics 2008-11-26 A. Dougall

In this lecture we discuss various aspects of QCD at nonzero chemical potential, including its phase diagram and the Dirac spectrum, and summarize what chiral random matrix theory has contributed to this subject. To illustrate the…

High Energy Physics - Phenomenology · Physics 2017-08-23 K. Splittorff , J. J. M. Verbaarschot

We revisit the phase structure and thermodynamics of QCD in the low temperature and high density region, where a strong, first-order phase transition is expected beyond the critical end point. By solving the quark gap equation in the…

High Energy Physics - Phenomenology · Physics 2026-02-10 Yi Lu , Fei Gao , Yu-xin Liu

The understanding of the phase structure and the fundamental properties of QCD matter from its microscopic description requires appropriate first-principle approaches. Here I review the progress towards a quantitative first-principle…

High Energy Physics - Phenomenology · Physics 2017-05-24 Nils Strodthoff

We present an overview of the status of the studies related to the phase diagram of strong interactions through high-energy nuclear collisions. We discuss both the theoretical and experimental status of establishing the various QCD phase…

Nuclear Experiment · Physics 2013-08-16 Bedangadas Mohanty

Important progress in understanding the behavior of hadronic matter at high density has been achieved recently, by adapting the techniques of condensed matter theory. At asymptotic densities, the combination of asymptotic freedom and BCS…

High Energy Physics - Phenomenology · Physics 2016-11-23 Krishna Rajagopal , Frank Wilczek

In these lectures we provide an introduction to the phase structure of QCD. We begin with a brief discussion of QCD, the symmetries of QCD, and what we mean by a ``phase of QCD''. In the main part of the lectures we discuss the phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Schaefer

We review theoretical approaches to explore the phase diagram of nuclear and quark matter at high baryon density. We first look over the basic properties of quantum chromodynamics (QCD) and address how to describe various states of QCD…

High Energy Physics - Phenomenology · Physics 2013-04-03 Kenji Fukushima , Chihiro Sasaki

Quantum chromodynamics (QCD) at finite temperature (T), baryon chemical potential (\muB) and isospin chemical potential (\muI) is studied in the strong coupling limit on a lattice with staggered fermions. With the use of large dimensional…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yusuke Nishida

Neither the chiral limit nor finite baryon density can be simulated directly in lattice QCD, which severely limits our understanding of the QCD phase diagram. In this review I collect results for the phase structure in an extended parameter…

High Energy Physics - Lattice · Physics 2019-12-11 Owe Philipsen

We study the high density region of QCD within an effective model obtained in the frame of the hopping parameter expansion. The model still acknowledges the sign problem peculiar to non-zero chemical potential, but it permits the…

High Energy Physics - Lattice · Physics 2016-09-01 Roberto De Pietri , Alessandra Feo , Erhard Seiler , Ion-Olimpiu Stamatescu

We study the phase structure of QCD in the $T-\mu$ plane using a histogram method and the reweighting technique by performing phase quenched simulations of two-flavor QCD with RG-improved gauge action and O($a$) improved Wilson quark…

High Energy Physics - Lattice · Physics 2012-12-06 Yoshiyuki Nakagawa , Sinya Aoki , Shinji Ejiri , Tetsuo Hatsuda , Kazuyuki Kanaya , Hiroshi Ohno , Hana Saito , Takashi Umeda

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD. This talk will focus on the developments in the last few years. Especially the addition of external influences and extended ranges…

High Energy Physics - Lattice · Physics 2022-01-07 Jana N. Guenther

Determining the QCD phase diagram is a pressing task in view of its relevance for nuclear and astro-particle physics programmes. We review the current status of lattice calculations of the phase diagram in the (T,\mu_B)-plane for baryon…

High Energy Physics - Phenomenology · Physics 2009-01-14 Owe Philipsen