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
×

1 results

  • 11 - Representations of the Lorentz Group

  • 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 97-107

  • Summary

    We find the Lie algebra of the Lorentz group and then extend it to the Poincaré group, the group of symmetries of flat space. We then point out that, as SU(2) is the universal cover of SO(3), for the Lorentz group SO(3,1) the universal cover is SL(2,C).We then use Wigner's method, using the little group in four dimensions, to find massive and massless representations of the Lorentz and Poincaré groups. We thus find various possible fields, corresponding to these representations. We end by explaining how SL(2,C) is the universal cover of SO(3,1).