physics 26
- The Källén–Lehmann Spectral Representation: How the Full Propagator Encodes the Physical Spectrum
- The Heat Kernel Expansion and Seeley–DeWitt Coefficients: Computing the One-Loop Effective Action
- Schwinger-Dyson Equations and the Structure of the Quantum Effective Action
- Reflection Positivity and the Osterwalder–Schrader Axioms: Reconstructing Unitary QFT from Euclidean Correlators
- Spontaneous Symmetry Breaking, the Higgs Mechanism, and Goldstone's Theorem
- Scattering Amplitudes and the S-Matrix Program: From the Optical Theorem to Modern On-Shell Methods
- Anomalies, Topology, and Index Theory in Quantum Field Theory
- Causal Structure, Penrose Diagrams, and the Singularity Theorems of Hawking and Penrose
- String Theory and the Worldsheet: Conformal Gauge and the Graviton
- Noether Currents, Ward Identities, and Symmetry Constraints in Quantum Field Theory
- Entanglement Entropy in Quantum Field Theory: From the Area Law to Holography
- BRST Symmetry and Cohomological Quantization of Gauge Theories
- AdS/CFT Correspondence: Holographic Duality and its Role in Quantum Gravity
- Supersymmetry: From Algebra to Phenomenology and Unification
- Conformal Field Theory and the Bootstrap Program
- Black Hole Thermodynamics and the Information Paradox
- Topology, Geometry, and the Search for Deeper Physical Laws
- Cosmology, Inflation, and the Early Universe
- Quantum Gravity: The Clash Between General Relativity and Quantum Theory
- Effective Field Theory and Why Fundamental Physics Is Layered
- Renormalization Group Flow and the Meaning of Scale
- Gauge Symmetry and the Structure of Fundamental Interactions
- General Relativity and the Geometry of Spacetime
- Quantum Field Theory as a Framework for Particles and Fields
- The Action Principle as the Language of Fundamental Physics
- Why a Theory of Everything Is Difficult