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Product Description
This monograph provides an account of the structure of gauge theories from a group theoretical point of view. The first part of the text is devoted to a review of those aspects of compact Lie groups (the Lie algebras, the representation theory, and the global structure) which are necessary for the application of group theory to the physics of particles and fields. The second part describes the way in which compact Lie groups are used to construct gauge theories. Models that describe the known fundamental interactions and the proposed unification of these interactions (grand unified theories) are considered in some detail. The book concludes with an up to date description of the group structure of spontaneous symmetry breakdown, which plays a vital role in these interactions. This book will be of interest to graduate students and to researchers in theoretical physics and applied mathematics, especially those interested in the applications of differential geometry and group theory in physics.
Book Description
The first portion of the text is devoted to a review of those aspects of Lie groups necessary for the application of group theory to the physics of particles and fields. The second describes the way in which compact Lie groups are used to construct gauge theories.
This monograph provides an account of the structure of gauge theories from a group theoretical point of view. The first part of the text is devoted to a review of those aspects of compact Lie groups (the Lie algebras, the representation theory, and the global structure) which are necessary for the application of group theory to the physics of particles and fields. The second part describes the way in which compact Lie groups are used to construct gauge theories. Models that describe the known fundamental interactions and the proposed unification of these interactions (grand unified theories) are considered in some detail. The book concludes with an up to date description of the group structure of spontaneous symmetry breakdown, which plays a vital role in these interactions. This book will be of interest to graduate students and to researchers in theoretical physics and applied mathematics, especially those interested in the applications of differential geometry and group theory in physics.
Book Description
The first portion of the text is devoted to a review of those aspects of Lie groups necessary for the application of group theory to the physics of particles and fields. The second describes the way in which compact Lie groups are used to construct gauge theories.
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Inside This Book Citations: This book cites 38 books | 2 books that cite this book Explore: Citations | Books on Related Topics | Concordance | Text Stats Key Phrases - SIPs: fermion assignments, primitive weights, extremal equation, timelike components, invariant subalgebra (more) Browse Sample Pages: Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me! |
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Inside This Book
(learn more)
First Sentence:
Part I of this monograph is concerned mainly with the theory of Lie groups, which is the background group theory necessary for gauge interactions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fermion assignments, primitive weights, extremal equation, timelike components, invariant subalgebra, root diagrams, scalar sector, tensor representations, symmetry breakdown, weak angle, colour symmetry, adjoint representation, weight diagrams, primitive representations, spinor representations, physical gauge, gauge principle, associativity condition, polar field, gauge fields, horizontal symmetry, asymptotic freedom, symmetric algebra, invariant subgroup, spontaneous breakdown New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
Part I of this monograph is concerned mainly with the theory of Lie groups, which is the background group theory necessary for gauge interactions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fermion assignments, primitive weights, extremal equation, timelike components, invariant subalgebra, root diagrams, scalar sector, tensor representations, symmetry breakdown, weak angle, colour symmetry, adjoint representation, weight diagrams, primitive representations, spinor representations, physical gauge, gauge principle, associativity condition, polar field, gauge fields, horizontal symmetry, asymptotic freedom, symmetric algebra, invariant subgroup, spontaneous breakdown New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 38
books:
- The Classical Groups: Their Invariants and Representations by Hermann Weyl in Back Matter (1), and Back Matter (2)
- Gauge Theories of Weak Interactions (Cambridge Monographs on Mathematical Physics) by John C. Taylor in Back Matter
- Representation Theory (Current Studies in Linguistics) by Edwin Williams in Back Matter
- Lie Algebras (Pure & Applied Mathematics Monograph) by Zhexian Wan in Back Matter
- Particle Physics by Murray Gell-Mann in Back Matter