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A Prelude to Quantum Field Theory

John Donoghue, Lorenzo Sorbo

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein

Beschreibung

A concise, beginner-friendly introduction to quantum field theory

Quantum field theory is a powerful framework that extends quantum mechanics in ways that are essential in many modern applications. While it is the fundamental formalism for the study of many areas of physics, quantum field theory requires a different way of thinking, and many newcomers to the subject struggle with the transition from quantum mechanics. A Prelude to Quantum Field Theory introduces the key concepts of quantum field theory in a brief and accessible manner while never sacrificing mathematical rigor. The result is an easy-to-use textbook that distills the most general properties of the theory without overwhelming beginning students with more advanced applications.

  • Bridges quantum mechanics and quantum field theory, emphasizing analogies and differences
  • Emphasizes a “quantum field theoretical mindset” while maintaining mathematical rigor
  • Obtains quantum fields as the continuum limit of a quantized system of many particles
  • Highlights the correspondence between wave function—fundamental in quantum mechanics—and the formalism of second quantization used in quantum field theory
  • Provides a step-by-step derivation of Feynman rules for the perturbative study of interacting theories
  • Introduces students to renormalization, path integrals techniques, and more
  • Discusses more modern topics like effective field theories
  • Ideal for both undergraduate and graduate students
  • Proven in the classroom

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Schlagwörter

Action (physics), Dimension, Quantum mechanics, Path integral formulation, Particle Data Group, Quantum electrodynamics, Utilitarianism, Harmonic oscillator, Photon, Power law, Perturbation theory (quantum mechanics), Gauge theory, Perturbation theory, Wave function, Particle physics, Positron, Lorentz scalar, Renormalization group, Quantity, Quantum field theory, Antiparticle, Dirac fermion, Propagator, Diagram (category theory), Lorentz covariance, Quantum gravity, Theory, Feynman diagram, Dimensional analysis, Relativistic quantum mechanics, Equation, Lagrangian (field theory), Amplitude, Quantum fluctuation, Effective field theory, Atomic physics, Phase transition, Quantum chromodynamics, Fermion, Classical mechanics, Mathematical formulation of quantum mechanics, Electromagnetic tensor, Fermionic field, Coupling constant, Electromagnetism, Classical physics, Field (physics), Morality, Yang–Mills theory, Degrees of freedom (mechanics), Coefficient, Jacobian matrix and determinant, Dirac equation, Prediction, Special relativity, Superconductivity, Particle number, Higgs mechanism, Heisenberg picture, Higgs boson, Diagram, Electromagnetic radiation, Creation and annihilation operators, Magnetic field, Phonon, Parameter, Renormalization, Scalar field, Calculation, Equations of motion