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    Quantum Field Theory

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    • Introduction to Quantum Mechanics
      • 1.1Historical Background
      • 1.2Introduction to Quantum Concepts
      • 1.3Quantum States and Observables
    • Wave-Particle Duality
      • 2.1The Double Slit Experiment
      • 2.2Heisenberg's Uncertainty Principle
      • 2.3Quantum Superposition and Entanglement
    • The Schrödinger Equation
      • 3.1Time-Dependent Equation
      • 3.2Stationary States
      • 3.3Square Well Potential
    • Quantum Operators and Measurement
      • 4.1Quantum Operators
      • 4.2The Measurement Postulate
      • 4.3Complex Probability Amplitudes
    • Quantum Mechanics of Systems
      • 5.1Quantum Harmonic Oscillator
      • 5.2Quantum Angular Momentum
      • 5.3Particle in a Box
    • The Dirac Equation
      • 6.1Wave Equations
      • 6.2The Dirac Sea
      • 6.3Hole Theory
    • Introduction to Quantum Electrodynamics (QED)
      • 7.1Electromagnetic Field
      • 7.2Feynman Diagrams
      • 7.3QED Interactions
    • Path Integrals and Quantum Mechanics
      • 8.1Feynman’s Approach
      • 8.2Action Principle
      • 8.3Quantum Oscillator Problem
    • Symmetries in Quantum Field Theory
      • 9.1Gauge Symmetry
      • 9.2Poincaré Symmetry
      • 9.3Global and Local Symmetries
    • Quantum Chromodynamics
      • 10.1Color Charge
      • 10.2Quark Model
      • 10.3Confinement and Asymptotic Freedom
    • The Higgs Mechanism
      • 11.1Electroweak Symmetry Breaking
      • 11.2The Higgs Boson
      • 11.3Implication for Mass of Known Particles
    • Quantum Field Theory in Curved Space-Time
      • 12.1The Concept of Spacetime
      • 12.2Quantum Effects in Curved Spaces
      • 12.3Hawking Radiation
    • Quantum Cosmology and Conclusion
      • 13.1Big Bang Theory
      • 13.2Cosmic Inflation
      • 13.3Looking Ahead: Frontiers in Quantum Mechanics

    Quantum Chromodynamics

    The Quark Model

    Classification scheme of hadrons

    Classification scheme of hadrons.

    The Quark Model is a classification scheme for hadrons, which are particles made of quarks. This model is fundamental to our understanding of Quantum Chromodynamics (QCD), the theory of the strong interaction between quarks and gluons.

    Introduction to the Quark Model

    The Quark Model was proposed independently by Murray Gell-Mann and George Zweig in 1964. It was a significant breakthrough in particle physics, providing a simple structure to the then chaotic world of particles. The model suggests that hadrons, such as protons and neutrons, are made up of more fundamental particles called quarks.

    Quark Flavors

    In the Quark Model, there are six types of quarks, known as flavors: up, down, charm, strange, top, and bottom. Each quark carries a fractional electric charge. The up, charm, and top quarks have a charge of +2/3, while the down, strange, and bottom quarks have a charge of -1/3.

    • Up Quark (u): The up quark is the lightest of all quarks. It is a constituent of protons and neutrons, which are found in the nucleus of an atom.

    • Down Quark (d): The down quark is slightly heavier than the up quark. Along with the up quark, it forms protons and neutrons.

    • Charm Quark (c): The charm quark is considerably heavier than the up and down quarks. Its discovery in 1974 was a significant validation of the Quark Model.

    • Strange Quark (s): The strange quark is heavier than the up and down quarks but lighter than the charm quark. It was named "strange" because of the long lifetime of particles containing strange quarks.

    • Top Quark (t): The top quark is the heaviest of all quarks. It was the last quark to be discovered, in 1995.

    • Bottom Quark (b): The bottom quark is lighter than the top quark but heavier than all other quarks. It was discovered in 1977.

    Quantum Numbers of Quarks

    Quarks, like all particles, are characterized by quantum numbers. These include charge, spin, and color.

    • Charge: As mentioned earlier, quarks carry a fractional electric charge. This is unlike the integral charges carried by electrons and protons.

    • Spin: Quarks are fermions, meaning they have a spin of 1/2. This property is related to the particle's intrinsic angular momentum.

    • Color: In the context of QCD, quarks carry a type of charge known as color. This has nothing to do with the colors we perceive but is a fundamental property of quarks that gives rise to the strong interaction.

    In conclusion, the Quark Model provides a framework for understanding the behavior and properties of hadrons. It has been instrumental in the development of QCD and continues to be a vital part of modern particle physics.

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