%0 Generic %1 herbut2012majorana %A Herbut, Igor F. %D 2012 %K dimension majorana symmetry timereversal %T Majorana mass, time reversal symmetry, and the dimension of space %U http://arxiv.org/abs/1211.1317 %X It is shown that the existence of an odd number of Majorana massive chiral Weyl fermions is unique to three (modulo eight) spatial dimensions. The argument utilizes a) the analogy that can be drawn between the Majorana mass and the Cooper pairing of time-reversed Weyl fermions, and b) the conditions on the requisite time-reversal operator, which are implied by the Clifford algebra. The theorem connects the number of neutrino flavors, time reversal symmetry, and the dimension of space in a new way, and strengthens the argument for the possible violation of the lepton number conservation law.

@misc{herbut2012majorana, abstract = {It is shown that the existence of an odd number of Majorana massive chiral Weyl fermions is unique to three (modulo eight) spatial dimensions. The argument utilizes a) the analogy that can be drawn between the Majorana mass and the Cooper pairing of time-reversed Weyl fermions, and b) the conditions on the requisite time-reversal operator, which are implied by the Clifford algebra. The theorem connects the number of neutrino flavors, time reversal symmetry, and the dimension of space in a new way, and strengthens the argument for the possible violation of the lepton number conservation law.}, added-at = {2012-11-19T04:30:56.000+0100}, author = {Herbut, Igor F.}, biburl = {https://www.bibsonomy.org/bibtex/2c8251e7f0047c506daa488305bc8a0b0/kyungminlee}, description = {Majorana mass, time reversal symmetry, and the dimension of space}, interhash = {fa78e4c767ea453025e58efaf844d15e}, intrahash = {c8251e7f0047c506daa488305bc8a0b0}, keywords = {dimension majorana symmetry timereversal}, note = {cite arxiv:1211.1317Comment: four revtex pages}, timestamp = {2012-11-19T04:30:56.000+0100}, title = {Majorana mass, time reversal symmetry, and the dimension of space}, url = {http://arxiv.org/abs/1211.1317}, year = 2012 }