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