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Chiral Quark Dynamics
These notes give an introduction to the description of hadrons, i.e., mesons and baryons, within a quark model based on a chirally invariant quantum field theory. Emphasis is put on a didactic approach intended for graduate students with some background on functional integral techniques. Starting from QCD a motivation of a specific form of the effective quark interaction is given. Functional integral bosonization leads to a theory describing successfully meson properties. It possesses solitonic solutions which are identified as baryons. Via functional integral techniques a Faddeev equation for baryons describing them as bound states of a diquark and a quark is derived. Finally, a unification of these two complementary pictures of baryons is proposed.
On Gauge Fixing Aspects of the Infrared Behavior of Yang-Mills Green Functions
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.
Quark Confinement and the Hadron Spectrum V
This book provides an update on our understanding of strong interaction, with theoretical and experimental highlights included. It is divided into five sections. The first section is devoted to the investigations into and the latest results on the mechanism of quark confinement. The second and third sections focus respectively on light and heavy quarks (effective field theories, Schwinger-Dyson approach and lattice QCD results). The fourth section deals with the deconfinement mechanism and quark-gluon plasma formation signals. The last section presents highlights of experiments, new physics beyond QCD, and nonperturbative approaches in other theories (strings and SUSY) that may be useful in QCD.
Quark Confinement And The Hadron Spectrum Iv
Quantum chromodynamics is generally accepted to be the quantum field theory which describes the strong interactions in elementary particle physics. However, the question of the mechanism responsible for the “confinement” of the color degrees of freedom of quarks and gluons into hadrons still ranks as one of the most interesting open problems in physics.This proceedings volume summarizes the state of the art in this area of research. Mathematically inclined readers will find the articles based on monopoles, vortices, and topology most interesting. Meanwhile, lattice calculations can be performed for many important physical quantities. Their results can be used as guidelines for developing models of quark confinement. These models are indispensable for theoretical physicists performing calculations with the Bethe-Salpeter equation, Dyson-Schwinger equations, effective Hamiltonians, and potential models. The cross-fertilization of all these subfields of research becomes evident from the articles in this book. A few experimental papers are also included.
Glueball Properties from the Bethe-Salpeter Equation
For over thirty years bound states of gluons are an outstanding problem of both theoretical and experimental physics. Being predicted by Quantum-Chromodynamics their experimental confirmation is one of the foremost goals of large experimental facilities currently under construction like FAIR in Darmstadt. This thesis presents a novel approach to the theoretical determination of physical properties of bound states of two gluons, called glueballs. It uses the consistent combination of Schwinger-Dyson equations for gluons and ghosts and appropriate Bethe-Salpeter equations describing their corresponding bound-states. A rigorous derivation of both sets of equations, starting from an 2PI effective action is given as well as a general determination of appropriate decompositions of Bethe-Salpeter amplitudes to a given set of quantum numbers of a glueball. As an application example bound state masses of glueballs in a simple truncation scheme are calculated.
Refereed and selected contributions from International Conference on Quark Nuclear Physics
This volume contains the refereed and selected contributions from the International Conference on Quark Nuclear Physics (QNP2002), held from 9 to 14 June 2002 in Jülich, Germany.
QCD Perspectives on Hot and Dense Matter
Many facets of quantum chromodynamics (QCD) are relevant to the in-depth discussion of theoretical and experimental aspects of high-energy nucleus-nucleus collisions. Exciting phenomena are being discovered in such ultrarelativistic heavy ion collisions, notably the increasingly important role of deconfined quark-gluon matter created in the early stage. The book contains lectures on the physics of hot dense matter, the expected phase transitions and colour superconductivity, recent developments in the treatment of nonlinear effects at large parton densities, fundamental issues in the phenomenology of ultrarelativistic heavy collisions. The latest data on heavy ion collisions are also presented. A unique collection of lectures on the many facets of QCD relevant to the physics of hot dense matter.
Understanding Deconfinement In Qcd - Proceedings Of The International Workshop
This volume summarizes our contemporary understanding of the deconfinement transition in QCD at finite temperature and chemical potential. Questions as to whether a quark-gluon plasma exists in the interior of dense astrophysical objects or which bound-state signals have to be studied in order to unambiguously detect the QCD phase transition(s) in future heavy-ion collision programmes at RHIC and LHC are addressed. Progress in answering these questions requires a fusion of lattice QCD with other nonperturbative approaches and low-energy effective models for QCD. Experts in these fields present in the book their methods and their results in understanding the deconfinement phenomenon.
