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Quantum chromodynamics --- Quark-gluon plasma --- Chromodynamique quantique. --- Plasma quark-gluon.

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Chiral Perturbation Theory, as effective field theory, is a commonly accepted and well established working tool, approximating quantum chromodynamics at energies well below typical hadron masses. This volume, based on a number of lectures and supplemented with additional material, provides a pedagogical introduction for graduate students and newcomers entering the field from related areas of nuclear and particle physics. Starting with the the Lagrangian of the strong interactions and general symmetry principles, the basic concepts of Chiral Perturbation Theory in the mesonic and baryonic sectors are developed. The application of these concepts is then illustrated with a number of examples. A large number of exercises (81, with complete solutions) are included to familiarize the reader with helpful calculational techniques.

Physics --- Physical Sciences & Mathematics --- Physics - General --- Atomic Physics --- Quantum chromodynamics. --- Quantum chromodynamics --- Quantum field theory. --- Relativistic quantum field theory --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Physics. --- Law. --- Economic policy. --- Social sciences. --- Nanotechnology. --- Physics, general. --- Law, general. --- Social Sciences, general. --- R & D/Technology Policy. --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Particles (Nuclear physics) --- Quantum electrodynamics --- Economic nationalism --- Economic planning --- National planning --- State planning --- Economics --- Planning --- National security --- Social policy --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Molecular technology --- Nanoscale technology --- High technology --- Acts, Legislative --- Enactments, Legislative --- Laws (Statutes) --- Legislative acts --- Legislative enactments --- Jurisprudence --- Legislation --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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The thermodynamics of strongly interacting matter has become a profound and challenging area of modern physics, both in theory and in experiment. Statistical quantum chromodynamics, through analytical as well as numerical studies, provides the main theoretical tool, while in experiment, high-energy nuclear collisions are the key for extensive laboratory investigations. The field therefore straddles statistical, particle and nuclear physics, both conceptually and in the methods of investigation used.  This course-tested primer addresses above all the many young scientists starting their scientific research in this field, providing them with a general, self-contained introduction that emphasizes in particular the basic concepts and ideas, with the aim of explaining why we do what we do.  To achieve this goal, the present text concentrates mainly on equilibrium thermodynamics: first, the fundamental ideas of strong interaction thermodynamics are introduced and then the main concepts and methods used in the study of the physics of complex systems are summarized. Subsequently, simplified phenomenological pictures, leading to critical behavior in hadronic matter and to hadron-quark phase transitions are introduced, followed by elements of finite-temperature lattice QCD leading to the important results obtained in computer simulation studies of the lattice approach. Next, the relation of the resulting critical behavior to symmetry breaking/restoration in QCD is clarified before the text turns to the study of the QCD phase diagram. The presentation of bulk equilibrium thermodynamics is completed by studying the properties of the quark-gluon plasma as new state of strongly interacting matter.The final chapters of the book are devoted to more specific topics which arise when nuclear collisions are considered as a tool for the experimental study of QCD thermodynamics.

Thermodynamic equilibrium --- Quantum chromodynamics --- Strong interactions (Nuclear physics) --- Physics --- Physical Sciences & Mathematics --- Thermodynamics --- Electricity & Magnetism --- Nuclear Physics --- Thermodynamic equilibrium. --- Quantum chromodynamics. --- Chromodynamics, Quantum --- QCD (Nuclear physics) --- Equilibrium, Thermal --- Equilibrium, Thermodynamic --- Equilibrium thermodynamics --- Thermal equilibrium --- Physics. --- System theory. --- Astrophysics. --- Nuclear physics. --- Heavy ions. --- Hadrons. --- Elementary particles (Physics). --- Quantum field theory. --- Nuclear Physics, Heavy Ions, Hadrons. --- Elementary Particles, Quantum Field Theory. --- Complex Systems. --- Astrophysics and Astroparticles. --- Statistical Physics and Dynamical Systems. --- Nuclear reactions --- Particles (Nuclear physics) --- Quantum electrodynamics --- Chemical equilibrium --- Quantum theory. --- Statistical physics. --- Mathematical statistics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Statistical methods --- Dynamical systems. --- Astronomical physics --- Astronomy --- Cosmic physics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Ions

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Quarks are the main constituents of protons and neutrons and hence are important building blocks of all the matter that surrounds us. However, quarks have the intriguing property that they never appear as isolated single particles but only in bound states. This phenomenon is called confinement and has been a central research topic of elementary particle physics for the last few decades. In order to find the mechanism that forbids the existence of free quarks many approaches and ideas are being followed, but by now it has become clear that they are not mutually exclusive but illuminate the problem from different perspectives. Two such confinement scenarios are investigated in this thesis: Firstly, the importance of Abelian field components for the low-energy regime is corroborated, thus supporting the dual superconductor picture of confinement and secondly, the influence of the Gribov horizon on non-perturbative solutions is studied.

Gauge fields (Physics) -- Mathematics. --- Green's functions. --- Quantum chromodynamics. --- Yang-Mills theory. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Nuclear Physics --- Gauge fields (Physics) --- Mills-Yang theory --- Yang-Mills theories --- Fields, Gauge (Physics) --- Gage fields (Physics) --- Gauge theories (Physics) --- Physics. --- Mathematical physics. --- Elementary particles (Physics). --- Quantum field theory. --- Elementary Particles, Quantum Field Theory. --- Theoretical, Mathematical and Computational Physics. --- Mathematical Physics. --- Mathematical Applications in the Physical Sciences. --- Quantum field theory --- Field theory (Physics) --- Group theory --- Symmetry (Physics) --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Physical mathematics --- Relativistic quantum field theory --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Mathematics