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9780817649838

Spinors in Four-Dimensional Spaces

by
  • ISBN13:

    9780817649838

  • ISBN10:

    0817649832

  • Format: Hardcover
  • Copyright: 2010-08-01
  • Publisher: Birkhauser

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Summary

Without using the customary Clifford algebras frequently studied in connection with therepresentations 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.Key topics and features:'¢ Uniform treatment of the spinor formalism for four-dimensional spaces of any signature,not only the usual signature (+ + + 'ˆ’) employed in relativity'¢ Examples taken from Riemannian geometry and special or general relativity arediscussed in detail, emphasizing the usefulness of the two-component spinor formalism'¢ Exercises in each chapter'¢ The relationship of Clifford algebras and Dirac four-component spinors is established'¢ Applications of the two-component formalism, focusing mainly on general relativity, arepresented in the context of actual computationsSpinors in Four-Dimensional Spaces is aimed at graduate students and researchers inmathematical 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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