Origins of global anomalies in quantum mechanics

S. Elitzur; E. Rabinovici; Y. Frishman; A. Schwimmer

doi:10.1016/0550-3213(86)90042-8

Origins of global anomalies in quantum mechanics

S. Elitzur^*
, E. Rabinovici
, Y. Frishman
, A. Schwimmer

^*Corresponding author for this work

Racah Institute of Physics

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

58 Scopus citations

Abstract

Simple and tractable examples of abelian and non-abelian gauge systems with global anomalies are presented in quantum mechanics. Explicit calculations are done both in the path-integral and hamiltonian formalism. Algebraic criteria are given for the existence of global gauge anomalies. These criteria are applied for every gauge group and many representations. The inconsistency of theories with a global gauge anomaly is discussed.

Original language	English
Pages (from-to)	93-108
Number of pages	16
Journal	Nuclear Physics B
Volume	273
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(86)90042-8
State	Published - 11 Aug 1986

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title = "Origins of global anomalies in quantum mechanics",

abstract = "Simple and tractable examples of abelian and non-abelian gauge systems with global anomalies are presented in quantum mechanics. Explicit calculations are done both in the path-integral and hamiltonian formalism. Algebraic criteria are given for the existence of global gauge anomalies. These criteria are applied for every gauge group and many representations. The inconsistency of theories with a global gauge anomaly is discussed.",

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AB - Simple and tractable examples of abelian and non-abelian gauge systems with global anomalies are presented in quantum mechanics. Explicit calculations are done both in the path-integral and hamiltonian formalism. Algebraic criteria are given for the existence of global gauge anomalies. These criteria are applied for every gauge group and many representations. The inconsistency of theories with a global gauge anomaly is discussed.

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Origins of global anomalies in quantum mechanics

Abstract

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