Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • 18 - The Noether Theoremand Applications

  • from Part I - General Properties of Fields; Scalars and Gauge Fields
  • Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
  • Book:
    Classical Field Theory
    Published online:
    04 March 2019
    Print publication:
    14 March 2019, pp 165-171

  • Summary

    We study the Noether theorem, which relates a conserved charge to any global symmetry, and its applications. We define the Noether current and charge, and the general form of the Noether procedure for “gauging” the global symmetry, as well as the ambiguity of the Noether current. We apply it to translations, the Abelian U(1) symmetry, the O(N) model, and vectors in the fundamental of O(N). We define the Noether charge as an integral in terms of fields, and the transformation of the fields as the Poisson bracket of the charge with the fields.