引力量子场论的建立是基于自然界基本规律与时空坐标和标度选取无关且遵循局域规范不变原理。本书主要介绍了引力场中的量子原理，回顾了相关的物理原理，包括引力、电磁力、弱力、强力、自旋力和标度力的基本理论框架，可导出含有引力场效应的所有量子场运动方程和所有基本对称性对应的守恒定律。本书自然地引入了双标架四维时空概念，即具有整体庞加莱和标度对称性的四维坐标时空以及具有局域自旋和标度规范对称性的四维引力场时空，前者描述量子场的运动和度量，后者决定量子场的内禀自由度和相互作用。
Preface
Acknowledgements
Biography
1 Introduction
1.1 Quantum information
1.2 Quantum communications
1.3 Quantum computing
1.4 Quantum sensors
1.5 Relativistic quantum information
1.6 Summary
2 Special and general relativity
2.1 Special relativity
2.2 Lorentz transformations
2.3 Lagrangian dynamics
2.4 The principle of equivalence
2.4.1 Particle dynamics in a gravitational field
2.4.2 Torsion
2.4.3 Geodesics and geodesic congruences
2.5 The principle of general covariance
2.5.1 Tensor analysis
2.5.2 Covariant derivatives
2.5.3 The coordinate basis
2.5.4 The minimal substitution rule
2.5.5 The energy-momentum tensor
2.5.6 The Euler-Lagrange equations
2.6 The Hamilton-Jacobi equations
2.7 Einstein's field equations
2.8 Principles of conservation
2.9 Killing vectors
2.10 Tetrad fields
2.11 Spin in general relativity
2.12 The spin-curvature coupling
2.13 Summary
3 Relativistic quantum fields
3.1 The Schrodinger equation
3.2 The Klein-Gordon equation
3.3 Scalar quantum fields
3.4 The quantum Poincare transformations
3.5 Wigner rotations
3.5.1 Massive particles
3.5.2 Massless particles
3.6 The Dirac equation
3.6.1 SO(3) and SU(2)
3.6.2 SL(2,C) and SO+(3,1)
3.6.3 Four-spinors
3.6.4 Particle dynamics
3.6.5 Free particle spinors
3.6.6 Spin and helicity
3.7 Dirac quantum fields
3.8 Group representations in quantum field theory
3.8.1 Non-unitary representations of the Lorentz group and quantum fields
3.8.2 Unitary representations of the Poincare group and quantum states
3.8.3 Unitary/non-unitary representations and wave functions
3.9 Representations of quantum fields with arbitrary spin
3.9.1 Scalar fields
3.9.2 Vector fields
3.9.3 Tensor fields
3.9.4 Dirac fields
3.10 The quantum vacuum in flat spacetime
3.11 Summary
4 Quantum information in inertial frames
4.1 Qubit transformations
4.2 Relativistic dynamics
4.3 Steganographic quantum channel
4.3.1 Relativistic communications
4.3.2 Relativistic fixed points
4.4 The teleportation channel
4.4.1 Relativistic teleportation
4.4.2 Absence of relativistic fixed points
4.5 Spread momentum states
4.6 Summary
5 Quantum fields in curved spaeetimes
5.1 Scalar fields in curved spacetime
5.2 Quantum dynamics in general relativity
5.2.1 The plane wave approximation
5.2.2 Hilbert spaces
5.2.3 Scalar orbital angular momentum eigenstates
5.2.4 Scalar four-momentum eigenstates
5.3 The quantum vacuum in a gravitational field
5.4 The spin-statistics connection
5.5 Quantum vector fields in curved spacetime
5.6 Spinors in curved spacetimes
5.7 Covariant derivative for fields of arbitrary spin
5.7.1 General form
5.7.2 Scalar fields
5.7.3 Vector fields
5.7.4 Tetrad fields
5.7.5 Dirac fields
5.8 Spinor dynamics with tetrad fields
5.9 Dirac spinors in curved spacetime
5.9.1 Solution at order h
5.9.2 Geodesic deviation at order h1
5.10 The spin-curvature coupling
5.11 Summary
6 Qubits in Schwarzschild spacetime
6.1 Metric tensor
6.2 Structure of Schwarzschild spacetime
6.3 Tetrad fields and connection one-forms
6.3.1 Affine connections
6.3.2 Curvature tensor
6.3.3 Tetrad fields
6.3.4 Connection one-forms
6.4 Geodesics
6.5 Quantum dynamics
6.6 Wigner rotations
6.6.1 Equatorial radial fall (θ = π/2, J = O)
6.6.2 Equatorial circular orbits (θ = π/2, ur = 0)
6.6.3 General equatorial circular paths (θ = π/2, ar≠0)
6.6.4 Geodetic precession of classical gyroscopes
6.7 Radiation damping
6.8 Summary
7 Spin-curvature coupling in Schwarzschild spacetime
7.1 Spinor components
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