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

In the Fu–Kane model, β=-iγ3γ4. Suzuki: Path Integrals and Quantum Anomalies (Oxford University Press, Oxford, U.K., 2004). Feynman's book QED explains how to do the path integral approximately without using formal calculus! Fiorenzo Bastianelli, Peter van Nieuwenhuizen. Path integral simplicity for low energy quantum gravity applications. Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology, 2, 14.29%. Path Integral Methods in Quantum Field Theory. A proposed proper EPRL vertex amplitude, 2, 14.29% Path integral measure and triangulation independence in discrete gravity. A path integral measure for gravity should also preserve the fundamental symmetry of general relativity, which is diffeomorphism symmetry. Bianca Dittrich, Sebastian Steinhaus . Further, we will discuss the relation of instantons to quantum anomalies, their role in the breaking of global symmetries, and the generation of mass gap and confinement. 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. Path integral quantization and stochastic quantization. Physical examples will include QCD, QCD-like theories as well as examples Recommended Preparation: Quantum Field Theory II OR familiarity with basics of path integral, renormalization and one-loop calculations.