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Champs de jauge (physique) --- Gauge fields (Physics) --- Physique mathématique --- Théorie quantique

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Quantum chromodynamics. --- Gauge fields (Physics). --- Perturbation (Mathematics). --- Chromodynamique quantique. --- Champs de jauge (physique) --- Perturbation (mathématiques)

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Astrophysique. --- Cosmologie. --- Univers. --- Champs de jauge (physique) --- Physics --- Astrophysics. --- Cosmology. --- Gauge fields (Physics) --- Universe.

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This first volume takes stock of the situation in higher spin gauge theories for the first time. Besides a thorough recapitulation of the field's history, it reviews the progress that has been made and offers a pedagogical introduction to the subject. Abstract approaches to the theory are offered to facilitate a conceptual rethinking of the main problems and to help see patterns hidden by heavy. The second volume is an introduction to the theory of interacting higher spin gauge fields. It describes in a pedagogical way the methods used, and the results obtained, within the three major approaches to the subject: the Dirac light-front theory, the Fronsdal covariant approach and the Vasiliev AdS theory. Abstract concepts and methods unifying the various appproaches are pointed out. The book follows the ideas behind the first volume; explains the mathematical concepts and tools used, while also reviewing the history of the subject.

Gauge fields (Physics) --- Quantum field theory. --- Particles (Nuclear physics) --- Champs de jauge (physique) --- Particules (physique) --- Théorie quantique des champs.

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Optique quantique. --- Gravité quantique. --- Champs de jauge (physique) --- Géométrie différentielle non commutative. --- Quantum optics. --- Quantum gravity. --- Gauge fields (Physics) --- Noncommutative differential geometry.