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Title of Journal: Nuov Cim A

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Società Italiana di Fisica

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DOI

10.1002/chin.200609255

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1826-9869

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Some remarks on charges and their conservation in

Authors: S Schlieder
Publish Date: 2008/05/18
Volume: 63, Issue: 2, Pages: 137-154
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Abstract

For classical YangMills fields ofSU2 type the transformation properties of the global Noether charge and the Noether charges contained in finite regions are studied If one assumes smoothness of the electric fields these charges can be annihilated by suitable smooth gauge transformations The same is true for smooth external charges Smoothness should be regarded as a technical assumption to remain in the framework of the conventional differential geometryДля классический полей ЯнгаМиллса типаSU2 исследуются свойства преобразования глобального заряда Ноэтера и зарядов Ноэтера содержащихся в конечных областях Если предположить гладкость электрических полей эти заряды могут аннигилировать благодаря соответствующим гладким калибровочным преобразованиям Это утверждение справедливо и для гладких внешних зарядов Гладкость следует рассматривать как техническое предположение в рамках обычной дифференциальной геометрииSi studiano le proprietà di trasformazione della carica globale di Noether e le cariche di Noether contenute nelle regioni finite per campi classici di Yang e Mills di tipoSU2 Se si ammette la planarità dei campi elettrici queste cariche si possono annullare con appropriate trasformazioni di gauge spianate Lo stesso vale per le cariche elettriche spianate La planarità può essere considerata unipotesi tecnica per rimanere nellambito della geometria differenziale convenzionale

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