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--- advanced_tools:wigners_little_groups [2017/12/04 08:01]
+++ advanced_tools:wigners_little_groups [2017/10/21 15:08] (current)
jakobadmin [Student]
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+====== Wigner's Little Groups ======
+<tabbox Why is it interesting?>
+<tabbox Layman>
+<note tip>
+Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
+</note>
+<tabbox Student>
+<blockquote>The little group is a subgroup of the Poincare
+group which leaves the four-momentum of a
+given particle invariant. The little groups for
+massive and massless particles are locally
+isomorphic to the three-dimensional rotation
+group and the two-dimensional euclidean group
+respectively. <cite>GAUGE TRANSFORMATIONS AS LORENTZ-BOOSTED ROTATIONS by D. HAN et. al.</cite></blockquote>
+  * A good explanation can be found at page 8 in https://indico.cern.ch/event/544849/contributions/2214530/attachments/1301154/1942518/yskim.pdf
+  * Another great introduction is section 2 here https://arxiv.org/pdf/1709.04891.pdf
+  * A good discussion can also be found in Groups, Physics, and Geometry by Gilmore
+<tabbox Researcher>
+<note tip>
+The motto in this section is: //the higher the level of abstraction, the better//.
+</note>
+--> Common Question 1#
+<--
+--> Common Question 2#
+<--
+<tabbox Examples>
+--> Example1#
+<--
+--> Example2:#
+<--
+<tabbox History>
+https://arxiv.org/pdf/hep-th/9512151.pdf
+</tabbox>