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Preface Acknowledgments Author biographies 1 Introduction References 2 Many-body relativistic mechanics and gauge theory 2.1 The classical two-body problem 2.2 The classical N-body problem 2.3 Electromagnetism References 3 Quantum mechanical two-body problem and consequences for many-body systems 3.1 The two-body bound states for scalar particles 3.2 The many-body problem and the RMS 3.3 The Stueckelberg string 3.4 The induced representation 3.5 Two-body partial wave analysis for scattering 3.6 Unitarity and the Levinson theorem 3.7 Cross sections References 4 Scattering theory 4.1 Foundations of relativistic scattering theory 4.2 The S matrix 4.3 Interaction picture perturbation expansion 4.4 The Gell-Mann-Low theorem 4.5 Green's functions and the T matrix References 5 Classical relativistic statistical mechanics 5.1 Relativistic Gibbs ensemble 5.2 Stability of the mass of an SHP particle 5.3 Canonical thermodynamics 5.4 Fluctuations in mass and energy 5.5 Grand canonical ensemble 5.6 Grand canonical thermodynamics 5.7 Conclusions References 6 Quantum relativistic statistical mechanics, spin statistics and quantum field theory 6.1 Relativistic quantum statistical mechanics 6.2 The ideal flee quantum gas 6.3 Relativistic high temperature Boson phase transition 6.4 Quantization of the electromagnetic field and black-body radiation 6.5 Manifestly covariant relativistic Boltzmann equation 6.6 Spin,statistics and correlations 6.6.1 Introduction 6.6.2 Induced representation on a time-like vector n~ 6.6.3 The many-body problem with spin, and spin statistics 6.6.4 Quantum fields References 7 Discussion and outlook References ±à¼­ÊÖ¼Ç