Quantum Field Theory

Classical field theory, canonical quantization, scalar field theory, Klein-Gordon equation, Feynman propagator, S-Matrix, interacting fields, Wick's theorem, Feynman diagrams, renormalization, quantum electrodynamics, gauge symmetries, spontaneous symmetry breaking, electroweak theory, quantum chromodynamics, path integral formulation.

Course Chapters

Table of Contents

Explore each chapter of quantum field theory in a structured learning sequence.

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Core Concepts

Key Topics

Essential concepts and areas you should master in quantum field theory.

Classical Field Theory

Lagrangian Formalism

Noether's Theorem

Canonical Quantization

Field Operators

Creation and Annihilation Operators

Vacuum State

Coherent States

Scalar Field Theory

Klein-Gordon Field

Dirac Field

Electromagnetic Field

Yang-Mills Fields

Gauge Theories

Feynman Diagrams

Propagators

Vertex Functions

Loop Corrections

Renormalization

Beta Functions

Renormalization Group

Effective Field Theory

Spontaneous Symmetry Breaking

Higgs Mechanism

Goldstone Theorem

Path Integral Formulation

Generating Functionals

Ward Identities

Schwinger-Dyson Equations

Instantons

Solitons

Non-perturbative Effects

Anomalies

Supersymmetry

String Theory Basics

Recommended Reading

Recommended Books

Carefully selected books to deepen your understanding of quantum field theory.

An Introduction to Quantum Field Theory

M. Peskin, D. Schroeder

The Quantum Theory of Fields

Steven Weinberg

Quantum Field Theory

Mark Srednicki

Mathematical Theory of Quantum Fields

Huzihiro Araki

Lectures on Quantum Field Theory

Ashok Das

Quantum Field Theory

Lewis Ryder

Quantum Field Theory

Claude Itzykson, Jearn-Bernard Zuber

Topological Quantum

Steven H. Simon

Particles and Fields

McGreevy

QFT

Sidney Coleman

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