Path Integrals and Anomalies in Curved Space (Cambridge Monographs on Mathematical Physics) - Hardcover

Bastianelli, Fiorenzo; Van Nieuwenhuizen, Peter

Hardcover

ISBN 10: 0521847613 ISBN 13: 9780521847612

Publisher: Cambridge University Press, 2006

Synopsis

Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. The authors start by deriving path integrals for particles moving in curved space and their supersymmetric generalizations. They then discuss the regularization schemes essential to constructing and computing these path integrals. This topic is used to introduce regularization and renormalization in quantum field theories in a wider context. These methods are then applied to discuss and calculate anomalies in quantum field theory. Such anomalies provide enormous constraints in the search for physical theories of elementary particles, quantum gravity and string theories. An advanced text for researchers and graduate students of quantum field theory and string theory, the first part is also a stand-alone introduction to path integrals in quantum mechanics.

About this title

About the Author

Fiorenzo Bastianelli is Professor of Theoretical Physics at the University of Bologna. Peter van Nieuwenhuizen is Distinguished Professor of Physics at SUNY at Stony Brook. He received the Dirac Medal in 1993 for the discovery of Supergravity.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2006
• Language: English
• ISBN 10: 0521847613
• ISBN 13: 9780521847612
• Binding: Hardcover
• Number of pages: 398