This lecture concerns the properties of strongly interacting matter (which is described by Quantum Chromodynamics) at very high energy density. I review the properties of matter at high temperature, discussing the deconfinement phase transition. At high baryon density and low temperature, large N{sub c} arguments are developed which suggest that high baryonic density matter is a third form of matter, Quarkyonic Matter, that is distinct from confined hadronic matter and deconfined matter. I finally discuss the Color Glass Condensate which controls the high energy limit of QCD, and forms the low x part of a hadron wavefunction. The Glasma is introduced as matter formed by the Color Glass Condensate which eventually thermalizes into a Quark Gluon Plasma.

The authors discuss the study of matter at very high energy density. In particular: what are the scientific questions; what are the opportunities to makes significant progress in the study of such matter and what facilities are now or might be available in the future to answer the scientific questions? The theoretical and experimental study of new forms of high energy density matter is still very much a 'wild west' field. There is much freedom for developing new concepts which can have order one effects on the way we think about such matter. It is also a largely 'lawless' field, in that concepts and methods are being developed as new information is generated. There is also great possibility for new experimental discovery. Most of the exciting results from RHIC experiments were unanticipated. The methods used for studying various effects like flow, jet quenching, the ridge, two particle correlations etc. were developed as experiments evolved. I believe this will continue to be the case at LHC and as we use existing and proposed accelerators to turn theoretical conjecture into tangible reality. At some point this will no doubt evolve into a precision science, and that will make the field more respectable, but for my taste, the 'wild west' times are the most fun.

These lectures concern the properties of strongly interacting matter at very high energy density. I begin with the Color Glass Condensate and the Glasma, matter that controls the earliest times in hadronic collisions. I then describe the Quark Gluon Plasma, matter produced from the thermalized remnants of the Glasma. Finally, I describe high density baryonic matter, in particular Quarkyonic matter. The discussion will be intuitive and based on simple structural aspects of QCD. There will be some discussion of experimental tests of these ideas.

The 6th Advanced Course in Theoretical Physics was held at the University of Cape Town, January 8-19, 1990. The topic of the course was "Phase Structure of Strongly Interacting Matter". There were ten invited speakers from overseas, each having up to six hours in which to present his field of research to a relatively small audience of about 50 participants. This allowed for the presentation of a broad, coherent and pedagogical review of the present status of the field. In addition there were several one-hour presentations by local participants. The main emphasis of the course was on the study of the properties of high density hot nuclear matter. This field is of particular interest because of the belief that a deconfined quark-gluon plasma could be created in such an environment when the temperature reaches about 200MeV. In the nuclear regime a so-called "liquid-to-gas" phase transition is expected at a temperature of approximately 10- 20MeV. Both of these topics received ample attention at the school. Owing the nature of the field, there exists much overlapping interest from both the nuclear physics and high-energy particle physics communities. It is hoped that these proceedings will contribute to building a bridge between the two groups.

This book is a course-tested primer on the thermodynamics of strongly interacting matter – a profound and challenging area of both theoretical and experimental modern physics. Analytical and numerical studies of statistical quantum chromodynamics provide the main theoretical tool, while in experiments, high-energy nuclear collisions are the key for extensive laboratory investigations. As such, the field straddles statistical, particle and nuclear physics, both conceptually and in the methods of investigation used. The book addresses, above all, the many young scientists starting their scientific research in this field, providing them with a general, self-contained introduction that highlights the basic concepts and ideas and explains why we do what we do. Much of the book focuses on equilibrium thermodynamics: first it presents simplified phenomenological pictures, leading to critical behavior in hadronic matter and to a quark-hadron phase transition. This is followed by elements of finite temperature lattice QCD and an exposition of the important results obtained through the computer simulation of the lattice formulation. It goes on to clarify the relationship between the resulting critical behavior due to symmetry breaking/restoration in QCD, before turning to the QCD phase diagram. The presentation of bulk equilibrium thermodyamics is completed by studying the properties of the quark-gluon plasma as a new state of strongly interacting matter. The final chapters of the book are devoted to more specific topics that arise when nuclear collisions are considered as a tool for the experimental study of QCD thermodynamics. This second edition includes a new chapter on the hydrodynamic evolution of the medium produced in nuclear collisions. Since the study of flow for strongly interacting fluids has gained ever-increasing importance over the years, it is dealt with it in some detail, including comments on gauge/gravity duality. Moreover, other aspects of experimental studies are brought up to date, such as the search for critical behavior in multihadron production, the calibration of quarkonium production in nuclear collisions, and the relation between strangeness suppression and deconfinement.

This volume deals with strong interactions in nuclear and elementary particle physics, especially the phase structure of nuclei and particles at finite temperatures and densities. Areas covered include phase transitions in nuclei at low temperatures, nuclear reactions at relativistic energies, perturbative quantum chromodynamics, and chiral symmetry. In addition to the survey lectures, the volume also contains topical papers directly related to the theme.

This book addresses the needs of growing community of graduate students and researchers new to the area, for a survey that covers a wide range of pertinent topics, summarizes the current status of the field, and provides the necessary pedagogical materials for newcomers. The investigation of strongly interacting matter under the influence of macroscopic rotational motion is a new, emerging area of research that encompasses a broad range of conventional physics disciplines such as nuclear physics, astrophysics, and condensed matter physics, where the non-trivial interplay between global rotation and spin is generating many novel phenomena. Edited and authored by leading researchers in the field, this book covers the following topics: thermodynamics and equilibrium distribution of rotating matter; quantum field theory and rotation; phase structure of QCD matter under rotation; kinetic theory of relativistic rotating matter; hydrodynamics with spin; magnetic effects in fluid systems with high vorticity and charge; polarization measurements in heavy ion collisions; hydrodynamic modeling of the QCD plasma and polarization calculation in relativistic heavy ion collisions; chiral vortical effect; rotational effects and related topics in neutron stars and condensed matter systems.