The Interaction of Spin with Gravity in Particle Physics: Low Energy Quantum Gravity (Lecture Notes in Physics)

Table of Contents Introduction Chapter 1 – Quantum Systems In Gravitational Fields 1.1 Introduction 1.2 Wave equations 1.2.1 The Schroedinger equation 1.2.2 The Klein-Gordon Equation 1.2.3 Spin-1 equations 1.2.4 Spin-gravity coupling for spin-1 particles 1.2.5 The Dirac equation in curved space-time 1.2.6 The Geometry of a Rotating Body: The Lense-Thirring metric 1.2.7 Vierbeins for accelerating and rotating systems 1.2.8 The generally covariant Dirac equation 1.2.9 Spin-2 Particles in Gravitational Fields 1.2.10 Solution of the spin-2 wave equation 1.2.11 Helicity-gravity coupling and geometrical optics 1.3 The e ect of space-time curvature on Hilbert Space. Berry phase Chapter 2 – Applications 2.1 Introduction 2.1.1 Superconductors 2.1.2 Gravitational waves and super uids 2.1.3 Gravitational red-shift 2.1.4 Schwarzschild metric 2.1.5 Lense-Thirring eld of Earth 2.1.6 Bound states of ultra cold neutrons in Earth’s gravitational eld 2.2 Spin-rotation coupling 2.2.1 Spin-rotation coupling in muon g-2 experiments 2.2.2 Spin-rotation coupling and limits on P and T invariance 2.3 Spin-rotation coupling in compound spin objects 2.4 Interferometers in various metrics 2.4.1 Interferometer in the eld of Earth 2.4.2 Rotation 2.4.3 The Lense-Thirring e ect for quantum systems 2.5 Zitterbewegung and gravitational Berry phase 2.5.1 Dirac and Klein-Gordon equations 2.6 Wave optics 2.7 Helicity precession of fermions in gravitational elds 2.8 Chirality precession of fermions in gravitational elds 2.9 Space-times with torsion 2.9.1 Spin- ip transition in spacetimes with torsion Chapter 3 – Neutrinos in Gravitational Fields 3.1 Introduction 3.1.1 Neutrino helicity oscillations 3.1.2 Helicity oscillations in a medium 3.1.3 Neutrino avour oscillations 3.2 Neutrino Optics 3.3 Helicity Transition Induced by Gravitational Fields 3.4 Neutrino Flavour Oscillations 3.5 Neutrino Lensing 3.6 Spin-Gravity Coupling of Neutrinos with Primordial Gravitational Waves 3.7 Pulsar Kick Chapter – 4 Radiative Processes, Spin Currents, Vortices 4.1 Radiative Processes 4.2 Spin Currents in Gravitational Fields 4.3 Vortices 4.3.1 Spin- 1/2 fermions Chapter 5 – Other developments 5.1 Scalar-Pseudoscalar Coupling And The Search For Axions 5.2 Axion Electrodynamics 5.3 The Extended Bargmann-Michel-Telegdi Model Conclusions Units and Fundamental Constants Bibliography