Quantum Theory Basics
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Quantum Theory Basics gives a modern review of quantum theory, including quantum mechanics and (mostly path-integral based) quantum field theory, as well as Abelian and non-Abelian gauge theories with their quantization. It includes the following sections:
Basics of Non-Relativistic Quantum Mechanics
This section introduces Schrödinger-Dirac quantum mechanics of a single particle and system of particles.
Introduction to Quantum Fields
This section includes Dirac’s amplitude, causality and QED, free and interacting quantum fields, Abelian gauge fields and introduction to topological quantum computation.
The Feynman Path Integral
This section introduces Feynman’s action-amplitude formalism, correlation functions and generating functionals, Feynman QED, and wavelet-based QFT.
The Path-Integral TQFT
This section briefly describes Schwarz- and Witten-type quantum field theories, presents topological Hodge decomposition theorem and its application to Chern-Simons theory.
Non-Abelian Gauge Theories
This section introduces Yang-Mills theory and its quantization.
KeywordsGauge Theory Gauge Transformation Wilson Loop Conformal Block Operator Product Expansion
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