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

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.

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.