Group Contractions: Inonu, Wigner, and Einstein
1997 ◽
Vol 12
(01)
◽
pp. 71-78
◽
Keyword(s):
Einstein's E = mc2 unifies the momentum-energy relation for massive and massless particles. According to Wigner, the internal space–time symmetries of massive and massless particles are isomorphic to O(3) and E(2) respectively. According to Inonu and Wigner, O(3) can be contracted to E(2) in the large-radius limit. It is noted that the O(3)-like little group for massive particles can be contracted to the E(2)-like little group for massless particles in the limit of large momentum and/or small mass. It is thus shown that transverse rotational degress of freedom for massive particles become contracted to gauge degrees of freedom for massless particles.
2001 ◽
Vol 102-103
◽
pp. 369-376
◽
2006 ◽
Vol 21
(19n20)
◽
pp. 4137-4160
◽
Keyword(s):
Keyword(s):
1964 ◽
Vol 32
(2)
◽
pp. 368-369
◽
2009 ◽
Vol 24
(18n19)
◽
pp. 3243-3255
◽
2005 ◽
Vol 20
(26)
◽
pp. 6039-6049
◽
2018 ◽
Vol 33
(12)
◽
pp. 1850061
◽
Keyword(s):