Introduction to Gauge Field Theories

1. Front Matter

   Pages I-XII

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2. Introduction

   1. Introduction

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 1-3

3. Invariant Lagrangians

   1. Front Matter

      Pages 5-5

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   2. Global Invariance

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 7-25

   3. Local (Gauge) Invariance

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 26-37

   4. Spontaneous Symmetry-Breaking

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 38-49

4. Quantum Theory of Gauge Fields

   1. Front Matter

      Pages 51-51

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   2. Path Integrals and Transition Amplitudes

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 53-78

   3. Covariant Perturbation Theory

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 79-106

5. Gauge Theory of Electroweak Interactions

   1. Front Matter

      Pages 107-107

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   2. Lagrangians of the Electroweak Interactions

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 109-132

   3. Quantum Electrodynamics

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 133-145

   4. Weak Interactions

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 146-165

   5. Higher Orders in Perturbation Theory

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 166-184

6. Gauge Theory of Strong Interactions

   1. Front Matter

      Pages 185-185

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   2. Asymptotically Free Theories

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 187-206

   3. Dynamical Structure of Hadrons

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 207-219

   4. Quantum Chromodynamics. Perturbation Theory

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 220-244

   5. Lattice Gauge Theories. Quantum Chromodynamics on a Lattice

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 245-265

   6. Grand Unification

      • Masud Chaichian, Nikolai F. Nelipa

      Pages 266-288

In recent years, gauge fields have attracted much attention in elementary par­ ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter­ actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in­ tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select­ ed for presentation the more or less traditional and commonly accepted mate­ rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion.

• Mathematica
• Particle Physics
• Theories
• elementary particle physics
• field theory
• quantum theory

• Department of High Energy Physics, University of Helsinki, Helsinki 17, Finland

  Masud Chaichian

• Institute for Nuclear Physics, Moscow State University, Moscow, USSR

  Nikolai F. Nelipa

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