Transport theories for strongly-interacting systems : applications to heavy-ion collisions / / Wolfgang Cassing

• Autore: Cassing Wolfgang
• Pubblicazione: Cham, Switzerland : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (260 pages)
• Disciplina: 530.138
• Soggetto topico: Transport theory; Heavy ion collisions
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Preface -- Acknowledgements -- Contents -- About the Author -- Acronyms -- List of Figures -- 1 Introduction -- References -- 2 Nonrelativistic On-Shell Kinetic Theories -- 2.1 Time Evolution of N-body Interacting Fermi Systems -- 2.2 The Density-Matrix Formalism -- 2.2.1 Separation of Correlation Functions -- 2.2.2 Expansion Within a Single-Particle Basis -- 2.2.3 Conservation Laws -- 2.3 The Vlasov Equation -- 2.4 The Collision Term According to Uehling-Uhlenbeck -- 2.4.1 The Vlasov-Uehling-Uhlenbeck (VUU) Equation -- 2.5 Including Higher Order Interactions -- 2.5.1 Definition of Selfenergies -- 2.5.2 Effective Parametrizations for the G-matrix -- 2.5.3 Coupled-Channel Transport Equations -- 2.6 Numerical Solutions -- 2.6.1 Application to Low Energy Heavy-Ion Reactions -- 2.6.2 Summary -- Solution of Exercises -- References -- 3 Relativistic On-Shell Kinetic Theories -- 3.1 Covariant Transport Equations -- 3.1.1 Wigner Transformation and Gradient Expansion -- 3.1.2 Nuclear Equation of State in the QHD Model -- 3.1.3 The Local-Ensemble Method for the Solution of Binary Collision Terms -- 3.1.4 Application of RBUU to Au+Au Collisions at 1 A GeV -- 3.2 Multi-Particle Transitions -- 3.2.1 Baryon-Antibaryon Annihilation and Recreation -- 3.2.2 Numerical Implementation -- Solution of Exercises -- Solution of Exercises -- References -- 4 Relativistic Dynamics and Off-Shell Transport -- 4.1 Relativistic Formulations -- 4.1.1 Two-Point Functions on the CTP -- 4.1.2 The Dyson-Schwinger Equation on the CTP -- 4.1.3 Kadanoff-Baym Equations -- 4.1.4 Definition of Selfenergies -- 4.1.5 Application to the Scalar ϕ4-Theory -- 4.1.6 Homogeneous Systems in Space -- 4.1.7 The Spectral Function -- 4.1.8 Results in First-Order Gradient Expansion -- 4.1.9 The Equilibrium Distribution -- 4.2 Full Versus Approximate Dynamics. ; 4.2.1 Derivation of the Quantum Boltzmann Approximation -- 4.2.2 Boltzmann vs. Kadanoff-Baym dynamics -- 4.3 Derivation of Off-Shell Relativistic Transport Theory -- 4.3.1 Kadanoff-Baym Transport -- 4.3.2 Transport in the Botermans-Malfliet Scheme -- 4.3.3 Testparticle Representation -- 4.3.4 Model Studies -- 4.4 Kadanoff-Baym Dynamics for Fermions -- 4.4.1 Two-Point Functions on the CTP -- 4.4.2 Definition of Selfenergies -- 4.4.3 Spectral Functions -- 4.5 Spectral Evolution of Vector Mesons in Heavy-Ion Collisions at 2 A GeV -- 4.6 Electromagnetic Field Evolution in Ultra-Relativistic Collisions -- 4.6.1 Electromagnetic Fields in Au+Au Collisions at s= 200 GeV -- 4.6.2 Electromagnetic Fields in Cu+Au Collisions at s= 200 GeV -- Solution of Exercises -- References -- A The Time Evolution Operator -- A.1 Schrödinger Picture -- A.2 Heisenberg Picture -- A.3 Interaction or Dirac Picture -- B Trace Relations for n-Body Correlations -- C The Two-Body Problem in Vacuum -- D Periodic Boundary Conditions -- E Phase-Space Integrals -- F Kramers-Kronig Relation -- G Lorentz Transformations, γ-Matrices, and Dirac-Algebra -- G.1 Lorentz-Goup: Scalars, Vectors, Tensors -- G.2 Dirac Equation and Dirac-Clifford Algebra -- G.3 Solutions of the Free Dirac Equation -- G.4 Quantization of the Free Dirac Field -- G.5 Transformation Properties of Dirac Spinors -- G.6 Green's Function of the Free Dirac Field -- H Density-Dependent Relativistic Mean-Field Theory -- H.1 Equations of Motion -- H.2 Thermodynamics and Thermodynamic Consistency -- Index.
• Titolo autorizzato: Transport Theories for Strongly-Interacting Systems
• ISBN: 3-030-80295-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910506395103321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in physics ; ; 989.