## An Informal Introduction to Gauge Field TheoriesFour forces are dominant in physics: gravity, electromagnetism and the weak and strong nuclear forces. Quantum electrodynamics - the highly successful theory of the electromagnetic interaction - is a gauge field theory, and it is now believed that the weak and strong forces also can be described by generalizations of this type of theory. In this short book Dr Aitchison gives an introduction to these theories, a knowledge of which is essential in understanding modern particle physics. With the assumption that the reader is already familiar with the rudiments of quantum field theory and Feynman graphs, his aim has been to provide a coherent, self-contained and yet elementary account of the theoretical principles and physical ideas behind gauge field theories. |

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### Contents

I Manifest | 10 |

Gauge fields and the gauge principle | 25 |

I Massless | 39 |

n Hidden | 71 |

Theory of weak and electromagnetic interactions | 105 |

Renormalisation matters | 125 |

References | 164 |

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### Common terms and phrases

Abelian algebra amplitude anomaly associated axial vector currents Born graphs bosons calculated cancel Chapter charge chiral symmetry commutation relations components condition consider contribution corresponding counter terms coupling constant course covariant derivative decay discussed divergence equation example fact fermion Feynman finite flavour gauge field theories gauge symmetry gauge theories gauge transformation gauge-fixing gauge-invariance generalised global symmetry Goldstone ground GSW theory hadrons hidden symmetry Higgs high energy behaviour Hooft independent infinitesimal integral interpretation introduce involving isodoublet isospin Itzykson & Zuber Lagrangian lepton Lorentz Lorentz covariance mass term massive vector field massless theory momentum non-Abelian gauge non-zero operator parameter perturbation theory phase pion polarisation predictions quantisation quantum field theory quark regularisation renormalisation rotations scalar field scale invariance Section 6.8 shown in Fig space-time point theorem tree graphs unitarity vacuum vanish vector fields vector particles vertex Ward identities weak interactions zero

### Popular passages

Page 165 - ... BS 1964 The dynamical theory of groups and fields. In Relativity groups and topology (ed. BS de Witt & C. de Witt). London: Gordon and Breach. Deser, S & van Nieuwenhuizen, P. 1975 Phys. Rev. D 10, 401, 411. Dolan, L. & Jackiw, R. 1974 Phys. Rev. D 9, 3320. Drummond, IT 1975 Nucl. Phys. B 94, 115. Fetter, AL & Walecka, JD 1971 Quantum theory of many-particle systems. New York: McGraw-Hill. Feynman, RP 1949 Phys. Rev. 76, 749. Feynman, RP 1974 Statistical Mechanics, Menlo Park, California: Benjamin...