تقرير
Loop Representation of Wigner's Little Groups
| العنوان: | Loop Representation of Wigner's Little Groups |
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| المؤلفون: | Baskal, Sibel, Kim, Young S., Noz, Marilyn E. |
| المصدر: | Symmetry 2017, 9(7), 97 |
| سنة النشر: | 2017 |
| المجموعة: | High Energy Physics - Theory Physics (Other) |
| مصطلحات موضوعية: | Physics - General Physics, High Energy Physics - Theory |
| الوصف: | Wigner's little groups are the subgroups of the Lorentz group whose transformations leave the momentum of a given particle invariant. They thus define the internal space-time symmetries of relativistic particles. These symmetries take different mathematical forms for massive and for massless particles. However, it is shown possible to construct one unified representation using a graphical description. This graphical approach allows us to describe vividly parity, time reversal, and charge conjugation of the internal symmetry groups. As for the language of group theory, the two-by-two representation is used throughout the paper. While this two-by-two representation is for spin-1/2 particles, it is shown possible to construct the representations for spin-0 particles, spin-1 particles, as well as for higher-spin particles, for both massive and massless cases. It is shown also that the four-by-four Dirac matrices constitute a two-by-two representation of Wigner's little group. Comment: LaTex 26 pages, with 5 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3390/sym9070097 |
| URL الوصول: | http://arxiv.org/abs/1707.03683 |
| رقم الأكسشن: | edsarx.1707.03683 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3390/sym9070097 |
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