Spinors in Four-Dimensional Spaces

Nonfiction, Science & Nature, Mathematics, Group Theory, Science, Physics, Mathematical Physics
Cover of the book Spinors in Four-Dimensional Spaces by Gerardo F. Torres del Castillo, Birkhäuser Boston
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Author: Gerardo F. Torres del Castillo ISBN: 9780817649845
Publisher: Birkhäuser Boston Publication: July 23, 2010
Imprint: Birkhäuser Language: English
Author: Gerardo F. Torres del Castillo
ISBN: 9780817649845
Publisher: Birkhäuser Boston
Publication: July 23, 2010
Imprint: Birkhäuser
Language: English

Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang–Mills theory, are derived in detail using illustrative examples. Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide.

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Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang–Mills theory, are derived in detail using illustrative examples. Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide.

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