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Notation and mathematical preliminaries
Quantum theory of the scalar free field
Interacting fields and scattering amplitudes
Thermal states and quantum scalar field on a curved manifold
The functional integral
Feynman integral in terms of the Wiener integral
Application of the Feynman integral for approximate calculations
Feynman path integral in terms of expanding paths
An interaction with a quantum electromagnetic field
Particle interaction with gravitons
Quantization of non-Abelian gauge fields
Lattice approximation.

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