Overview

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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9780817649838

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From the reviews: This is a very welcome addition to the bookshelves of those for whom it is mainly intended: graduate students and more experienced researchers using spinors in relativity or quantum field theory. It is a detailed and careful explanation, beginning with the important algebraic steps, and pushing carefully onward to the use of spinors to make powerful results in these fields of physics much easier to obtain. ! This is definitely a book I will be very happy to have on my shelves ! . (J. D. Finley, III, Mathematical Reviews, Issue 2011 g)

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