Path Integrals and Anomalies in Curved Space

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Cambridge University Press, 20 lug 2006
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.
 

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Indice

Introduction to path integrals
3
Time slicing
33
Mode regularization
108
Dimensional regularization
127
Introduction to anomalies
147
Chiral anomalies from susy quantum
185
Trace anomalies from ordinary and susy
285
References
366
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