87 citations · 877 across the 97 of their papers we have counts for
3 papers · 1 filter
Noether theorems and quantum anomalies
John Gough, Tudor S. Ratiu, Oleg G. Smolyanov
In this communication, we show that both infinite-dimensional versions of Noether's theorems, and the explanation of quantum anomalies can be obtained using similar formulas for th…
Momentum Maps and Stochastic Clebsch Action Principles
A. B. Cruzeiro, D. D. Holm, T. S. Ratiu
We derive stochastic differential equations whose solutions follow the flow of a stochastic nonlinear Lie algebra operation on a configuration manifold. For this purpose, we develo…
Quantum Anomalies and Logarithmic Derivatives
J. E. Gough, T. S. Ratiu, O. G. Smolyanov
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…