Includes bibliographical references.Preface -- Author biography -- Introduction -- Gauge theories -- Gauge gravity dualityQuantum phase transitions -- Quantum Ising model -- XY model -- Other modelsGravitation -- Basics of general relativity -- Anti-de Sitter spaceAdS/CFT correspondence -- Formalism -- Scalar fields -- Finite temperature -- Finite chemical potentialDynamics -- Linear response t…
"Version: 202111"--Title page verso.Includes bibliographical references.1. Path integral approach -- 1.1. Path integral -- 1.2. Path integral in quantum field theory -- 1.3. Spin -- 1.4. Path integral and statistical mechanics -- 1.5. Fermion path integral2. Topology and vector spaces -- 2.1. Topological spaces -- 2.2. Group theory -- 2.3. Cocycle -- 2.4. Vector spaces -- 2.5. Linear maps -- 2.…