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Path Integrals and Quantum Anomalies Hiroshi Suzuki, Kazuo Fujikawa
Publisher: Oxford University Press, USA

Doing path integrals over fields ([tex]X[/tex]) is familiar enough, but how do you do the integral over all world-sheet metrics [tex]g[/tex], and the sum over all world-sheet topologies (that is what encodes all the quantum splittings and joinings) . Warner, Path integral calculation of string anomalies, Nucl. In Feynman's case, this discovery was surely not the only one and the path integral approach to quantum mechanics is a great gift of the U.S.-led physics, too. Aschieri and Branislav Jurčo, Gerbes, M5-brane anomalies and E 8 gauge theory, J. If there have been advances in the 00s as significant as conformal anomaly cancellation, the mathematics of Calabi-Yau manifolds, D-branes, dualities/M-Theory, AdS/CFT, or braneworlds, perhaps it would be useful to list them. 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. Duff, E 8 × SO ( 16 ) symmetry of d = 11 supergravity?, in Quantum Field Theory and Quantum Statistics, eds. Anomalous action functional: the action functional (in path integral quantization) is not a globally well defined function, but instead a section of a line bundle on configuration space;. The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. 0410 (2004) 068, arXiv:hep-th/0409200.