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Volumn 79, Issue 5, 2011, Pages 485-498

Dirac, Majorana, and Weyl fermions

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EID: 79954467504     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.3549729     Document Type: Article
Times cited : (231)

References (18)
  • 1
    • 0000154144 scopus 로고
    • The quantum theory of electron
    • PRLAAZ, 0950-1207, 10.1098/rspa.1928.0023.
    • Dirac P.A. M. The quantum theory of electron. Proc. R. Soc. London, Ser. A 1928, 117:610-624. PRLAAZ, 0950-1207, 10.1098/rspa.1928.0023.
    • (1928) Proc. R. Soc. London, Ser. A , vol.117 , pp. 610-624
    • Dirac, P.A.M.1
  • 2
    • 51849110288 scopus 로고
    • Electron and gravitation
    • ZEPYAA, 0044-3328, 10.1007/BF01339504, SHEPDB, 0142-2413, [English translation , ].
    • Weyl H. Weyl H. Electron and gravitation. Surv. High Energy Phys. 1986, 5:261-267. ZEPYAA, 0044-3328, 10.1007/BF01339504, SHEPDB, 0142-2413, [English translation ].
    • (1986) Surv. High Energy Phys. , vol.5 , pp. 261-267
    • Weyl, H.1    Weyl, H.2
  • 3
    • 84941870287 scopus 로고
    • The idea of a neutrino
    • R. Kronig, V. Weisskopf, PHTOAD, 0031-9228, in a letter dated 4 December 1930 to the participants of a conference in Tübingen. An English translation can be found, for example, in Vol. 2, edited by and (Interscience, New York, ) , ].
    • Pauli W. Brown L.M. The idea of a neutrino. Phys. Today 1978, 31(9):23-28. R. Kronig, V. Weisskopf, PHTOAD, 0031-9228, in a letter dated 4 December 1930 to the participants of a conference in Tübingen. An English translation can be found, for example, in Vol. 2, edited by and (Interscience, New York, ) ].
    • (1978) Phys. Today , vol.31 , Issue.9 , pp. 23-28
    • Pauli, W.1    Brown, L.M.2
  • 4
    • 0346987313 scopus 로고
    • Theory of the symmetry of electrons and positrons
    • NUCIAD, 0029-6341, 10.1007/BF02961314.
    • Majorana E. Theory of the symmetry of electrons and positrons. Nuovo Cimento 1937, 14:171-184. NUCIAD, 0029-6341, 10.1007/BF02961314.
    • (1937) Nuovo Cimento , vol.14 , pp. 171-184
    • Majorana, E.1
  • 5
    • 33846987880 scopus 로고    scopus 로고
    • Comment on 'Can gravity distinguish between Dirac and Majorana neutrinos?'
    • PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.041101, PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.069001, As a recent example, see and , -1-4 .The fallacy in the argument was pointed out in and .
    • Singh D. Mobed N. Papini G. Nieves J.F. Pal P.B. Comment on 'Can gravity distinguish between Dirac and Majorana neutrinos?'. Phys. Rev. Lett. 2007, 98:069001. PRLTAO, 0031-9007, 10.1103/PhysRevLett.97.041101, PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.069001, As a recent example, see and -1-4 .The fallacy in the argument was pointed out in and.
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 069001
    • Singh, D.1    Mobed, N.2    Papini, G.3    Nieves, J.F.4    Pal, P.B.5
  • 6
    • 79954548915 scopus 로고    scopus 로고
    • We use the notation that whenever an array is enclosed in square brackets, each entry should be thought of as a block of length 2, that is, a 2×2 matrix for square arrays and a 2×1 column for a column array.
    • We use the notation that whenever an array is enclosed in square brackets, each entry should be thought of as a block of length 2, that is, a 2×2 matrix for square arrays and a 2×1 column for a column array.
  • 7
    • 79954479408 scopus 로고    scopus 로고
    • 3 that are given in Eq. with the option of changing the overall sign of any number of them.
    • 3 that are given in Eq. with the option of changing the overall sign of any number of them.
  • 8
    • 79954512769 scopus 로고    scopus 로고
    • ijk=+1. To avoid any possible confusion, we use neither the antisymmetric tensor nor the components of Σ with lower indices.
    • ijk=+1. To avoid any possible confusion, we use neither the antisymmetric tensor nor the components of Σ with lower indices.
  • 9
    • 79954555590 scopus 로고    scopus 로고
    • This statement, by itself, only implies that left-chiral and right-chiral fields fall into different irreducible representations. It does not preclude the possibility that either of these can be further reduced. We show in Sec. that the chiral fields are irreducible.
    • This statement, by itself, only implies that left-chiral and right-chiral fields fall into different irreducible representations. It does not preclude the possibility that either of these can be further reduced. We show in Sec. that the chiral fields are irreducible.
  • 10
    • 79954520426 scopus 로고    scopus 로고
    • Representation-independent manipulations with Dirac matrices and spinors
    • Such identities can be verified by considering all possible cases. They can also be derived from the basic properties of Dirac matrices in Eqs. See, for example, arXiv:physics/0703214.
    • Pal P.B. Representation-independent manipulations with Dirac matrices and spinors. Such identities can be verified by considering all possible cases. They can also be derived from the basic properties of Dirac matrices in Eqs. See, for example, arXiv:physics/0703214.
    • Pal, P.B.1
  • 11
    • 79954462234 scopus 로고    scopus 로고
    • Derived independently by and , the theorem can be found in almost all textbooks on quantum field theory. See, for example, and , (Princeton U. P., Princeton, ), first published in 1964.
    • Lüders G. Pauli W. Streater R.F. Wightman A.S. PCT, Spin and Statistics, and All That 2000, Derived independently by and the theorem can be found in almost all textbooks on quantum field theory. See, for example, and (Princeton U. P., Princeton, ), first published in 1964.
    • (2000) PCT, Spin and Statistics, and All That
    • Lüders, G.1    Pauli, W.2    Streater, R.F.3    Wightman, A.S.4
  • 12
    • 0001209462 scopus 로고
    • Reformulation of the Majorana theory of the neutrino
    • PHRVAO, 0031-899X, 10.1103/PhysRev.107.307.
    • Case K.M. Reformulation of the Majorana theory of the neutrino. Phys. Rev. 1957, 107:307-316. PHRVAO, 0031-899X, 10.1103/PhysRev.107.307.
    • (1957) Phys. Rev. , vol.107 , pp. 307-316
    • Case, K.M.1
  • 13
    • 4243485373 scopus 로고
    • Majorana neutrinos and magnetic fields
    • PRVDAQ, 0556-2821, 10.1103/PhysRevD.24.1883, PRVDAQ, 0556-2821, 10.1103/PhysRevD.25.283, We emphasize that the use of the two-component notation in practical calculations is only inconvenient, not impossible. As an example of its use, see and , and , (E) .
    • Schechter J. Valle J.W. F. Schechter J. Valle J.W. F. Majorana neutrinos and magnetic fields. Phys. Rev. D 1982, 25:283. PRVDAQ, 0556-2821, 10.1103/PhysRevD.24.1883, PRVDAQ, 0556-2821, 10.1103/PhysRevD.25.283, We emphasize that the use of the two-component notation in practical calculations is only inconvenient, not impossible. As an example of its use, see and and , (E).
    • (1982) Phys. Rev. D , vol.25 , pp. 283
    • Schechter, J.1    Valle, J.W.F.2    Schechter, J.3    Valle, J.W.F.4
  • 14
    • 1642353854 scopus 로고    scopus 로고
    • Such instances are so many that it is impossible and useless to have an exhaustive reference. Just to prove that the claim is not vacuous, see, for example, and , (Springer, Berlin, ), p. , Eqs. (6.14)-(6.16).
    • Fukugita M. Yanagida T. Physics of Neutrinos and Application to Astrophysics 2002, 274. Such instances are so many that it is impossible and useless to have an exhaustive reference. Just to prove that the claim is not vacuous, see, for example, and (Springer, Berlin, ), p. Eqs. (6.14)-(6.16).
    • (2002) Physics of Neutrinos and Application to Astrophysics , pp. 274
    • Fukugita, M.1    Yanagida, T.2
  • 15
    • 0006978826 scopus 로고
    • CPT and CP properties of Majorana particles, and the consequences
    • PRVDAQ, 0556-2821, 10.1103/PhysRevD.28.2341
    • Kayser B. Goldhaber A.S. CPT and CP properties of Majorana particles, and the consequences. Phys. Rev. D 1983, 28:2341-2344. PRVDAQ, 0556-2821, 10.1103/PhysRevD.28.2341.
    • (1983) Phys. Rev. D , vol.28 , pp. 2341-2344
    • Kayser, B.1    Goldhaber, A.S.2
  • 16
    • 26144467947 scopus 로고
    • CPT, CP, and C phases and their effects in Majorana particle processes
    • PRVDAQ, 0556-2821, 10.1103/PhysRevD.30.1023.
    • Kayser B. CPT, CP, and C phases and their effects in Majorana particle processes. Phys. Rev. D 1984, 30:1023-1033. PRVDAQ, 0556-2821, 10.1103/PhysRevD.30.1023.
    • (1984) Phys. Rev. D , vol.30 , pp. 1023-1033
    • Kayser, B.1
  • 18
    • 0000244034 scopus 로고
    • Electromagnetic properties of Majorana neutrinos
    • PRVDAQ, 0556-2821, 10.1103/PhysRevD.26.3152.
    • Nieves J.F. Electromagnetic properties of Majorana neutrinos. Phys. Rev. D 1982, 26:3152-3158. PRVDAQ, 0556-2821, 10.1103/PhysRevD.26.3152.
    • (1982) Phys. Rev. D , vol.26 , pp. 3152-3158
    • Nieves, J.F.1


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