Email this article Noether theorems and quantum anomalies
- Authors: Gough J.1, Ratiu T.S.2,3, Smolyanov O.G.4
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Affiliations:
- Institute of Mathematics, Physics and Computer Sciences
- School of Mathematics
- École Polytechnique Fédérale de Lausanne
- Lomonosov Moscow State University
- Issue: Vol 95, No 1 (2017)
- Pages: 26-30
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224718
- DOI: https://doi.org/10.1134/S1064562417010112
- ID: 224718
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Abstract
A quantum anomaly is the breaking of symmetry with respect to some transformations after the quantization of a classical Hamiltonian or Lagrangian system. It is shown that both the Noether theorems (including their infinite-dimensional versions) and the explanation of the origin of quantum anomalies can be obtained by using similar formulas for derivatives of functions whose values are measure in the former case and pseudomeasures in the latter.
About the authors
J. Gough
Institute of Mathematics, Physics and Computer Sciences
Email: smolyanov@yandex.ru
United Kingdom, Aberystwyth
T. S. Ratiu
School of Mathematics; École Polytechnique Fédérale de Lausanne
Email: smolyanov@yandex.ru
China, Shanghai; Lausanne
O. G. Smolyanov
Lomonosov Moscow State University
Author for correspondence.
Email: smolyanov@yandex.ru
Russian Federation, Moscow
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