Jump to ContentJump to Main Navigation
The Origin of MassElementary Particles and Fundamental Symmetries$
Users without a subscription are not able to see the full content.

John Iliopoulos

Print publication date: 2017

Print ISBN-13: 9780198805175

Published to Oxford Scholarship Online: December 2017

DOI: 10.1093/oso/9780198805175.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 21 February 2018

Symmetries

Symmetries

Chapter:
(p.22) 3 Symmetries
Source:
The Origin of Mass
Author(s):

John Iliopoulos

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198805175.003.0003

The concept of symmetry plays a central role in our understanding of the fundamental laws of Nature. Through a deep mathematical theorem due to A.E. Noether, all conservation laws of classical physics are related to symmetries. In this chapter we start from the intuitively obvious notions of translation and rotation symmetries which are part of the axioms of Euclidian geometry. Following W. Heisenberg, we introduce the idea of isospin as a first example of an internal symmetry. A further abstraction leads to the concept of a global versus local, or gauge symmetry, which is a fundamental property of General Relativity. Combining the notions of internal and gauge symmetries we obtain the Yang-Mills theory which describes all fundamental interactions among elementary particles. A more technical part, which relates a gauge symmetry of the Schrödinger equation of quantum mechanics to the electromagnetic interactions, is presented in a separate section and its understanding is not required for the rest of the book.

Keywords:   symmetry, conservation law, geometry, isospin, translation, rotation, internal symmetry, gauge symmetry, Yang-Mills

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .