Free and Interacting Quantum Fields

Modern physics is characterized by two great theories, which make it fundamentally different from its predecessor: quantum theory and theory of relativity. In this book we want to bring to the reader's attention several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and galactic universe.

Contents:

• Preface

• Introduction

• Classical and Quantum Free Fields

• The Gravitational Transmutations Hypothesis

• Tomonaga–Schwinger Representation of Dynamics of a Quantum Physical System. Matrix Elements of the Field Operators and Feynman{Dyson-Type Rules for High-Spin Particles

• Fundamentals of Gauge Theories. The Minimal Coupling Principle

• The Gravitational Field Interacting with Other Fields

• Interaction of Scalar, Spinorial, Spin-Vectorial and Tensorial Particles, and the Gravitational Field Described by the Schwarzschild Metric

• Scattering of Electrons and Photogeneration of Gravitons in External Gravitational Field

• Interaction of Scalar, Spinorial, Vectorial, Spin-Vectorial and Tensorial Particles with the Axially-Symmetric Gravitational Field Described by the Kerr Metric

• Software Package for Analytical Calculation of Differential Cross-Sections of Gravitational Scattering of High-Spin Particles

• Appendices:

  • Isotopic Formalism
  • The Dirac Matrices and the Dirac Equation
  • Operatorial Transformations
  • Singular Functions
  • Integration Formulas in Momentum Space
  • Matrix Elements of the Field Operators and First-Order Vertices for the Gravitational Interaction of Particles
  • Expressions of the Coeffcients-Functions of the Differential and Integral Scattering Cross-Sections of Particles in the External Axially-Symmetric Gravitational Field Described by the Kerr Metric
  • Values of Several Physical Quantities in CGS and Natural (ħ = 1, c = 1) Unit Systems. Equivalence Between Different Units of Measurement

Readership: Researchers and graduate students in quantum field theory and theoretical physics.
Key Features:

• In this book we present several solutions to problems connected to the quantum-relativistic interaction of particles. Remarkably, such solutions furnished rigorous and pertinent explanations of a large set of phenomena, both in microscopic world and universe