Path Integrals and Anomalies in Curved Space

AvFiorenzo Bastianelli,Peter van Nieuwenhuizen

Häftad, Engelska, 2009

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2009-10-01
Mått:152 x 229 x 21 mm
Vikt:590 g
Format:Häftad
Språk:Engelska
Serie:Cambridge Monographs on Mathematical Physics
Antal sidor:400
Förlag:Cambridge University Press
ISBN:9780521120500

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Mer om författaren

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.

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"Thanks to the exceptional clarity of the presentation, the meticulous attention to the subtleties of the calculations can be appreciated both by researchers who are experts in the subject and by graduate students who are approaching this field with minimum background knowledge. Anyone who is interested in this subject should read this book carefully." Diego N. Pelliccia for Mathematical Reviews

Innehållsförteckning

Preface; Part I. Path Integrals for Quantum Mechanics in Curved Space: 1. Introduction to path integrals; 2. Time slicing; 3. Mode regularization; 4. Dimensional regularization; Part II. Applications to Anomalies: 5. Introduction to anomalies; 6. Chiral anomalies from susy quantum fields; 7. Trace anomalies from ordinary and susy quantum mechanics; 8. Conclusions and summary; Appendices A-F; References; Index.