Path Integrals and Anomalies in Curved Space

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Overview

Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles moving in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. These anomalies provide enormous constraints in the search for physical theories such as those 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.

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Editorial Reviews

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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
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Product Details

Meet 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.

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Table of Contents

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.

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