Quantum Anomalies and Logarithmic Derivatives
J.E. Gough, T.S. Ratiu, and O.G. Smolyanov
TL;DR
This paper explores the mathematical relationship between quantum anomalies and transformations of Feynman pseudo-measures, clarifying debates about their origins in the physics literature.
Contribution
It provides a mathematical framework linking quantum anomalies to transformations of Feynman pseudo-measures, resolving disagreements in existing literature.
Findings
Established connections between quantum anomalies and pseudo-measure transformations
Clarified the mathematical origin of quantum anomalies in infinite-dimensional spaces
Resolved discrepancies in the literature regarding anomaly origins
Abstract
This papers deals with connections between quantum anomalies and transformations of Feynman pseudo-measures. Mathematical objects related to the notion of the volume element in an infinite-dimensional space considered in the physics literature are considered and disagreement in the related literature regarding the origin of quantum anomalies is explained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum chaos and dynamical systems · Advanced Thermodynamics and Statistical Mechanics · Quantum Mechanics and Non-Hermitian Physics