Transport Theories for Strongly-Interacting Systems
Applications to Heavy-Ion Collisions
Samenvatting
This book provides an overview on transport theories, focusing on applications and the relativistic off-shell transport theory which are of particular interest for physicists working in the field of relativistic strong-interaction physics, e.g. relativistic or ultra-relativistic heavy-ion collisions or the evolution of the early universe. In this regard, a thorough derivation of the transport equations and a careful analysis of the approximations employed is given. The text is enriched with a multitude of Appendices that partly recall elements of quantum mechanics and field theory or present examples for specific models. Specific exercises are given throughout the chapters. As a basic knowledge the reader should be familiar with quantum mechanics and its principles as well as some basic concepts of the quantum many-body physics and field theory. All chapters close with a short summary and numerical calculations are provided to master and illustrate the subject.
Specificaties
Inhoudsopgave
<p>2.1 Time-evolution of an N-body interacting Fermi system</p>
2.2 The density-matrix formalism<p></p>
<p>2.3 The Vlasov equation</p>
<p>2.4 The collision term according to Uehling-Uhlenbeck</p>
2.5 Including higher order interactions<p></p>
<p>2.6 Numerical solutions</p>
<p>3 Relativistic on-shell kinetic theories</p>
3.1 Covariant transport equations<p></p>
<p>3.2 Multi-particle transitions</p>
<p>4 Relativistic dynamics and off-shell transport</p>
4.1 Relativistic formulations<p></p>
<p>4.2 Full versus approximate dynamics</p>
<p>4.3 Derivation of off-shell relativistic transport theory</p>
4.4 Kadanoff-Baym dynamics for fermions<p></p>
<p>4.5 Spectral evolution of vector mesons in heavy-ion collisions</p>
<p>4.6 Electromagnetic field evolution in ultra-relativistic collisions</p>
<p>Appendices</p>