ABSTRACT

Extensively classroom-tested, A Course in Field Theory provides material for an introductory course for advanced undergraduate and graduate students in physics. Based on the author's course that he has been teaching for more than 20 years, the text presents complete and detailed coverage of the core ideas and theories in quantum field theory.

chapter 1|4 pages

Motivation

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chapter 2|6 pages

Quantisation of Fields

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chapter 3|8 pages

Euler–Lagrange Equations

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chapter 4|6 pages

Tree-Level Diagrams

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chapter 5|4 pages

Hamiltonian Perturbation Theory

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chapter 6|12 pages

Path Integrals in Quantum Mechanics

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chapter 7|10 pages

Path Integrals in Field Theory

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chapter 8|6 pages

Perturbative Expansion in Field Theory

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chapter 9|8 pages

The Scattering Matrix

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chapter 10|4 pages

Cross Sections

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chapter 11|4 pages

Decay Rates

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chapter 12|8 pages

The Dirac Equation

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chapter 13|4 pages

Plane Wave Solutions of the Dirac Equation

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chapter 14|4 pages

The Dirac Hamiltonian

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chapter 15|18 pages

Path Integrals for Fermions

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chapter 16|6 pages

Feynman Rules for Vector Fields

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chapter 17|12 pages

Quantum Electrodynamics—QED

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chapter 18|8 pages

Non-Abelian Gauge Theories

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chapter 19|4 pages

The Higgs Mechanism

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chapter 20|6 pages

Gauge Fixing and Ghosts

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chapter 21|8 pages

The Standard Model

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chapter 22|14 pages

Loop Corrections and Renormalisation

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chapter 23|46 pages

Problems

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