Noether theorems and quantum anomalies

John Gough; T. S. Ratiu; O. G. Smolyanov

doi:10.1134/S1064562417010112

Noether theorems and quantum anomalies

John Gough, T. S. Ratiu, O. G. Smolyanov

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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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

Original language	English
Pages (from-to)	26-30
Number of pages	5
Journal	Doklady Mathematics
Volume	95
DOIs	https://doi.org/10.1134/S1064562417010112
Publication status	Published - 20 Apr 2017

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title = "Noether theorems and quantum anomalies",

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",

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T1 - Noether theorems and quantum anomalies

AU - Gough, John

AU - Ratiu, T. S.

AU - Smolyanov, O. G.

PY - 2017/4/20

Y1 - 2017/4/20

N2 - 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

AB - 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

UR - https://arxiv.org/pdf/1608.02366.pdf

UR - http://hdl.handle.net/2160/45400

U2 - 10.1134/S1064562417010112

DO - 10.1134/S1064562417010112

M3 - Article

SN - 1064-5624

VL - 95

SP - 26

EP - 30

JO - Doklady Mathematics

JF - Doklady Mathematics

ER -

Noether theorems and quantum anomalies

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