Lectures on fuzzy and fuzzy susy physics

著者

• Balachandran, A. P.
• Kürkçüoğlu, S.
• Vaidya, S. M.

書誌事項

Lectures on fuzzy and fuzzy susy physics

A.P. Balachandran, S.Kürkçüoğlu, S. Vaidya

World Scientific, c2007

注記

Includes bibliographical references and index

内容説明・目次

内容説明

Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as extended objects such as monopoles and nonlinear sigma modes are treated in considerable detail. A detailed treatment of the regularization of supersymmetry is given using the techniques of fuzzy physics.

目次

• Fuzzy Spaces
• Star Products
• Scalar Fields on the Fuzzy Sphere
• Instantons, Monopoles and Projective Modules
• Fuzzy Nonlinear Sigma Models
• Fuzzy Gauge Theories
• The Dirac Operator and Axial Anomaly
• Fuzzy Supersymmetry
• SUSY Anomalies on the Fuzzy Supersphere
• Fuzzy Spaces as Hopf Algebras.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA81751171
• ISBN:
  • 9812704663
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New Jersey
• ページ数/冊数: xiii, 181 p. 24 cm