2019/03/27 by Israel Weimin Sun, Sun, Israel Weimin
Engineering · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Lightning and Electromagnetic Phenomena #Particle Accelerators and Free-Electron Lasers #Quantum and electron transport phenomena #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1904.04638
5 pages, no figures
arxiv created 2019/03/27 · openalex publication_date 2019/03/27 · arxiv updated 2019/04/10 · openalex created_date 2019/04/25 · openalex updated_date 2026/07/28
I address and solve the natural problem of calculating the transverse current anomalies in quantum electrodynamics by means of the path-integral method. An explicitly divergent and regulator-dependent anomaly term is produced for the vector current, in apparent contradiction with the null-result prediction of the one-loop perturbative evaluation. This paradox is carefully explained using the concept of infinite-dimensional Grassmann functional integration, signifying a modification to the conventional wisdom of understanding anomalies in field theory.