"Version: 20190301"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Path integral approach -- 1.1. Path integral -- 1.2. Spin -- 1.3. Path integral and statistical mechanics -- 1.4. Fermion path integral2. Topology and vector spaces -- 2.1. Topological spaces -- 2.2. Group theory -- 2.3. Cocycle -- 2.4. …
"Version: 20210204"--Title page verso.Includes bibliographical references.1. The Heisenberg model -- 1.1. Ground state for the ferromagnet -- 1.2. Spontaneous broken symmetries -- 1.3. Ground state for the antiferromagnet -- 1.4. Excited states for the ferromagnet -- 1.5. Translational symmetry -- 1.6. Two spin waves -- 1.7. Long-range order -- 1.8. Mermin and Wagner's theorem -- 1.9. The Ising…