Quantum Field Theory

  1. Advanced Topics
    1. Effective Field Theory
      1. Concept and Philosophy
        1. Separation of Scales
          1. Low-Energy Approximations
          2. Decoupling of Heavy Fields
            1. Integrating Out Heavy Degrees of Freedom
              1. Matching Conditions
              2. Operator Analysis
                1. Relevant and Irrelevant Operators
                  1. Power Counting
                  2. Applications
                    1. Chiral Perturbation Theory
                      1. Heavy Quark Effective Theory
                        1. Standard Model Effective Field Theory
                      2. Supersymmetry
                        1. Supersymmetric Algebra
                          1. Supercharges
                            1. Anticommutation Relations
                            2. Superfields
                              1. Scalar Superfields
                                1. Vector Superfields
                                  1. Superspace Formalism
                                  2. Supersymmetric Lagrangians
                                    1. Wess-Zumino Model
                                      1. Supersymmetric QED
                                      2. Phenomenological Aspects
                                        1. Superpartners
                                          1. SUSY Breaking
                                            1. Minimal Supersymmetric Standard Model
                                          2. Grand Unified Theories
                                            1. Motivation for Unification
                                              1. Coupling Constant Unification
                                                1. Charge Quantization
                                                2. GUT Groups
                                                  1. SU(5) Model
                                                    1. SO(10) Model
                                                      1. E₆ Models
                                                      2. Symmetry Breaking
                                                        1. GUT Scale Physics
                                                          1. Hierarchy Problem
                                                          2. Predictions
                                                            1. Proton Decay
                                                              1. Magnetic Monopoles
                                                                1. Neutrino Masses
                                                              2. Quantum Field Theory in Curved Spacetime
                                                                1. General Covariance
                                                                  1. Curved Spacetime Formulation
                                                                    1. Covariant Derivatives
                                                                    2. Particle Creation
                                                                      1. Cosmological Particle Production
                                                                        1. Hawking Radiation
                                                                        2. Vacuum States
                                                                          1. Minkowski Vacuum
                                                                            1. Rindler Vacuum
                                                                              1. de Sitter Vacuum
                                                                            2. Conformal Field Theory
                                                                              1. Conformal Symmetry
                                                                                1. Conformal Group
                                                                                  1. Conformal Transformations
                                                                                  2. Primary Fields
                                                                                    1. Scaling Dimensions
                                                                                      1. Operator Product Expansion
                                                                                      2. Two-Dimensional CFT
                                                                                        1. Virasoro Algebra
                                                                                          1. Central Charge
                                                                                          2. Applications
                                                                                            1. Critical Phenomena
                                                                                              1. String Theory
                                                                                                1. AdS/CFT Correspondence
                                                                                              2. Lattice Field Theory
                                                                                                1. Discretization
                                                                                                  1. Spacetime Lattice
                                                                                                    1. Fermion Doubling Problem
                                                                                                    2. Path Integral on Lattice
                                                                                                      1. Monte Carlo Methods
                                                                                                        1. Importance Sampling
                                                                                                        2. Continuum Limit
                                                                                                          1. Scaling Behavior
                                                                                                            1. Universality
                                                                                                            2. Applications
                                                                                                              1. Non-Perturbative QCD
                                                                                                                1. Phase Transitions
                                                                                                              2. Topological Solitons
                                                                                                                1. Soliton Solutions
                                                                                                                  1. Kink Solutions
                                                                                                                    1. Vortex Solutions
                                                                                                                      1. Monopole Solutions
                                                                                                                      2. Topological Charges
                                                                                                                        1. Homotopy Groups
                                                                                                                          1. Topological Stability
                                                                                                                          2. Instantons
                                                                                                                            1. Euclidean Solutions
                                                                                                                              1. Tunneling Amplitudes
                                                                                                                                1. Theta Vacua
                                                                                                                                2. Physical Applications
                                                                                                                                  1. Skyrmions in Nuclear Physics
                                                                                                                                    1. Magnetic Monopoles in GUTs
                                                                                                                                      1. Axion Physics