The Relativistic Nuclear Many-Body Problem

✍ Scribed by Brian D. Serot, John Dirk Walecka

• Publisher: Plenum Press
• Year: 1986
• Tongue: English
• Leaves: 338
• Series: Advances in Nuclear Physics 16
• Category: Library

✦ Synopsis

Volume 16 comprises a single comprehensive monograph: The Relativistic Nuclear Many-Body Problem by Brian D. Serot and John Dirk Walecka. Sections within the monograph explore important aspects of relativistic baryons, nuclear models, relativistic Hartree descriptions of nuclei, quantum hadrodynamics, the dynamical quantum vacuum, charged mesons, relativistic pion dynamics, two-nucleon correlations, electroweak interactions with nuclei, and quantum chromodynamics. The Appendices cover notation and conventions, dimensional regularization, path-integral derivation of Feynman rules, and the Feynman rules in local gauge theories. Thorough in its coverage of the subject, this monograph will be valuable to those involved in nuclear physics, high-energy physics, and theoretical physics. J. W. Negele, E. Vogt

✦ Table of Contents

Preface
Contents
1. Introduction
1.1. Historical Perspective
2. Relativistic Baryons
2.1. The Dirac Equation
2.2. Free-Particle Solutions
2.3. Dirac Hole Theory
2.4. Classical Field Theory and Canonical Quantization
2.5. Dirac Fields and the Baryon Propagator
2.6. Lorentz Covariance of the Dirac Equation
2.7. Isospin
3. A Simple Model
3.1. Field Equations in a Scalar‒Vector Theory
3.2. The Mean-Field Theory (MFT)
3.3. Model Hamiltonian
3.4. The Nuclear Matter Equation of State
3.5. Nuclear Matter at Finite Temperature
3.6. Nuclear Hydrodynamics
3.7. Spatially Nonuniform Systems
3.8. Collective Excitations of Finite Systems
3.9. The Nucleon‒Nucleus Optical Potential
4. Relativistic Hartree Description of Nuclei
4.1. Relativistic Hartree Formalism
4.2. Properties of Finite Nuclei
4.3. Discussion
4.4. Nucleon‒Nucleus Scattering
5. Quantum Hadrodynamics (QHD)
5.1. Feynman Rules
5.2. Observables
5.3. Mean-Field Theory (MFT)
5.4. Vacuum Fluctuation Corrections
5.5. Relativistic Hartree‒Fock
5.6. Collective Modes and Zero Sound
5.7. Relativistic Hartree Theory of Finite Nuclei
6. The Dynamical Quantum Vacuum
6.1. Bosons
6.2. Fermions
6.3. The Effective Action
6.4. Effective Action with Fermions
6.5. QHD-I and Relativistic Hartree Theory
6.6. The Quantum Vacuum in Finite Nuclei
7. Charged Mesons
7.1. Noether's Theorem
7.2. SU(2) Symmetry
7.3. Pion‒Nucleon Interactions
7.4. Rho‒Nucleon Interactions
7.5. Non-Abelian Gauge Theories
7.6. The Feynman Rules in QHD-II
7.7. Applications
7.8. Electromagnetic Interactions
8. Relativistic Pion Dynamics
8.1. A Minimal Model
8.2. Dirac‒Hartree‒Fock with Pions
8.3. A Renormalizable Model with Pseudovector Coupling
8.4. Dirac‒Hartree‒Fock Revisited
8.5. The Pion Propagator in Nuclear Matter
8.6. Chiral Symmetry
9. Two-Nucleon Correlations
9.1. Nuclear Matter Formalism
9.2. Relation to Nucleon‒Nucleon Scattering
9.3. Nuclear Matter Results
10. Electroweak Interactions with Nuclei
10.1. The Role of Charged Mesons
10.2. Electromagnetic Interactions in QHD-II
10.3. Weak Currents
11. Quantum Chromodynamics (QCD)
11.1. Quarks and Color
11.2. The Theory of QCD
11.3. The Relationship between QHD and QCD
11.4. A Model of the Phase Diagram for Nuclear Matter
12. Summary
A. Notation and Conventions
B. Dimensional Regularization
C. Path-Integral Derivation of Feynman Rules
D. The Feynman Rules in Local Gauge Theories
D.1. Quantum Electrodynamics (QED)
D.2. The Non-Abelian Theory QHD-II
References
Index

✦ Subjects

Nuclear Physics, Heavy Ions, Hadrons; Theoretical, Mathematical and Computational Physics