Lectures On Fuzzy And Fuzzy Susy Physics

Aiyalam P Balachandran, Seckin Kurkcuoglu, Sachindeo Vaidya (Autoren)

Buch | Hardcover

196 Seiten

2007
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-466-5 (ISBN)

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Starting with the construction of fuzzy spaces, using examples of fuzzy sphere and fuzzy complex projective spaces, this book moves on to discuss the technology of star products on noncommutative R2d and on fuzzy sphere. It also includes scalar, spinor and gauge field theories, and extended objects such as monopoles and nonlinear sigma modes.

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.

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.

Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	981-270-466-3 / 9812704663
ISBN-13	978-981-270-466-5 / 9789812704665
Zustand	Neuware