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- | ====== Wigner's Little Groups ====== | ||
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- | <tabbox Why is it interesting?> | ||
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- | <tabbox Layman> | ||
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- | <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> | ||
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- | <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> | ||
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- | A good explanation can be found at page 8 in https://indico.cern.ch/event/544849/contributions/2214530/attachments/1301154/1942518/yskim.pdf | ||
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- | Another great introduction is section 2 here https://arxiv.org/pdf/1709.04891.pdf | ||
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- | <tabbox Researcher> | ||
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- | <note tip> | ||
- | The motto in this section is: //the higher the level of abstraction, the better//. | ||
- | </note> | ||
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- | --> Common Question 1# | ||
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- | <-- | ||
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- | --> Common Question 2# | ||
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- | <-- | ||
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- | <tabbox Examples> | ||
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- | --> Example1# | ||
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- | <-- | ||
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- | --> Example2:# | ||
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- | <-- | ||
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- | <tabbox History> | ||
- | https://arxiv.org/pdf/hep-th/9512151.pdf | ||
- | </tabbox> | ||
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