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The 96 pages that link to Quantum field theory, each with the reason it gives.
Quantum mechanicsNarrower topic: It extends quantum mechanics to relativistic particles and interacting fields.
PhotonNarrower topic: In this framework, a photon is an excitation of the electromagnetic field.
Standard ModelNarrower topic: The Standard Model is a quantum field theory rather than a collection of classical particle laws.
Quantum chromodynamicsNarrower topic: QCD applies this framework to quarks, gluons, and the strong interaction.
Conservation of energyRelated: Time-independent dynamics preserve energy, while measurements and interactions redistribute it.
Lagrangian mechanicsRelated: Classical Lagrangians provide the starting point for specifying field dynamics and interactions.
Quantum harmonic oscillatorNarrower topic: Each free-field mode can be represented by a quantum harmonic oscillator.
Richard FeynmanNarrower topic: Feynman’s techniques became foundational tools across this broader framework.
Particle physicsNarrower topic: It provides the mathematical language behind the Standard Model.
String theoryNarrower topic: String theory extends the particle-based language of quantum fields with vibrating strings.
AtomismCompared with: It complicates the classical picture of atoms as tiny, enduring corpuscles.
Feynman diagramNarrower topic: Feynman diagrams are a notation for calculations within this framework.
Werner HeisenbergNarrower topic: It extends the quantum foundations to relativistic particle physics beyond Heisenberg’s original formulations.
BosonNarrower topic: In this framework, bosons arise as integer-spin field excitations.
Wave–particle dualityNarrower topic: It replaces a simple wave-versus-particle picture with quantized fields and their excitations.
Zero-point energyNarrower topic: Each field mode behaves like an oscillator with a ground-state contribution.
Grand Unified TheoryNarrower topic: Grand unified models describe interactions through quantum fields and gauge symmetries.
GravitonNarrower topic: Gravitons are proposed as quanta of a field, following this framework’s particle-field picture.
Cosmological constant problemNarrower topic: Its vacuum-state calculations supply the theoretical energy estimates in the problem.
Effective field theoryNarrower topic: Effective field theory is a scale-limited way to use quantum field theory.
Mathematical physicsBroader topic: Its calculations require mathematical control of fields, infinities, and perturbative expansions.
Minkowski spacetimeNarrower topic: Relativistic quantum field theories commonly use Minkowski spacetime as their flat background.
Path integral formulationNarrower topic: The path-integral formulation extends naturally from particle histories to field configurations.
RenormalizationNarrower topic: Renormalization makes many quantum field theories predictive despite divergent intermediate calculations.
Charge conjugationNarrower topic: Charge conjugation is formulated as a transformation of quantum fields and states.
Hermann WeylRelated: Weyl’s symmetry methods and spinor mathematics became central tools in the field.
Higgs fieldNarrower topic: The Higgs field is one field within this framework.
Julian SchwingerNarrower topic: Schwinger’s methods treated electromagnetic interactions within this broader framework.
Elementary particleNarrower topic: In modern theory, elementary particles are described as excitations of quantum fields.
Canonical quantizationNarrower topic: Canonical quantization extends the operator prescription from particle variables to field variables.
Gauge bosonNarrower topic: Gauge bosons are field excitations in the quantum theories of fundamental interactions.
Natural unitsRelated: Its equations are usually written with c and ħ set to one.
Yang–Mills theoryNarrower topic: Quantum Yang–Mills theory applies this framework to gauge fields and matter.
Theoretical physicsBroader topic: It provides the mathematical basis for the Standard Model of particle physics.
AdS/CFT correspondenceNarrower topic: The correspondence is a specific duality between a gravitational theory and a quantum field theory.
Quantum fieldNarrower topic: It supplies the mathematical framework in which quantum fields are defined and used.
Klein–Gordon equationNarrower topic: Quantization resolves the equation’s single-particle interpretation problems and gives it a field-theoretic role.
Planck scaleRelated: Its standard treatment of fields on a fixed spacetime does not fully account for quantum spacetime geometry.
Yukawa interactionNarrower topic: Yukawa interactions are terms within this broader framework.
Hamilton's principleRelated: Action functionals organize its field equations, symmetries, and path-integral formulation.
Particle decayRelated: It provides the framework for calculating amplitudes and decay rates.
Quantum fluctuationNarrower topic: Field theory treats fluctuations as variations of fields throughout space and time.
Correspondence principleRelated: Its classical field equations provide another setting for testing correspondence.
GravitationCompared with: It underlies the other fundamental interactions but does not provide a complete quantum theory of gravitation.
Hideki YukawaNarrower topic: Yukawa’s meson theory applied quantum-field ideas to interactions between nucleons.
Padé approximantRelated: Padé methods are used to resum perturbative series in calculations of physical quantities.
QuasiparticleNarrower topic: Quasiparticles are effective excitations, distinct from the fundamental particles of a field theory.
Scattering amplitudeNarrower topic: Relativistic particle-scattering amplitudes are calculated within this framework.
Classical field theoryCompared with: It replaces the classical field description with quantum fields and quantum states.
Planck epochRelated: It describes known particle physics but does not by itself provide a quantum theory of gravity.