Path integrals and quantum anomalies

By K. Fujikawa, Hiroshi Suzuki. 2004

370 citations recorded by the source corpus.

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Topological response in Weyl semimetals and the chiral anomaly (2012, methodology): “28,29 34 The discovery of Weyl semimetals provides a concrete condensed matter system, where 3+1-dimensional chiral anomaly and related eﬀects can be realized.”
Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry (2008, methodology): “The Euclidean space formalism for fermions is necessary for a rigorous definition of the path integral in quantum field theory [121,122].”
Anomalous transport of Weyl fermions in Weyl semimetals (2013, methodology): “(International series of monographs on physics: 91) [9] K.”
Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences (2007, background): “The trace of the energy-momentum tensor can be calculated following [2], where it was shown that this trace vanishes for a conformally invariant classical action if one makes use of the so-called improved energy momentum tensor.”
Light control with Weyl semimetals (2022, methodology): “[98] for quantum anomalies and Fujikawa’s method, and Ref.”