(1/2,1/2) representation space -: An ab initio construct

被引:31
作者
Ahluwalia, DV [1 ]
Kirchbach, M [1 ]
机构
[1] Univ Aut Zacatecas, Fac Fis, Theoret Phys Grp, ISGBG, Zacatecas 98062, Mexico
关键词
Lorentz group; discrete symmetries; massive gauge fields;
D O I
10.1142/S0217732301004613
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A careful ab initio construction of the finite-mass (1/2, 1/2) representation space of the Lorentz group reveals it to be a spin-parity multiplet. In general, it does not lend itself to a single-spin interpretation. We find that the (1/2,1/2) representation space for massive particles naturally bifurcates into a triplet and a singlet of opposite relative intrinsic parties. The textbook separation into spin-1 and spin-0 states occurs only for certain limited kinematical settings. We construct a wave equation for the (1/2, 1/2) multiplet, and show that the particles and antiparticles in this representation space do not carry a definite spin but only a definite relative intrinsic parity. In general, both spin-1 and spin-0 are covariantly inseparable inhabitants of massive vector fields. This last observation suggests that scalar particles, such as the Higgs, are natural inhabitants of massive (1/2, 1/2) representation space.
引用
收藏
页码:1377 / 1383
页数:7
相关论文
共 4 条
[1]   A BARGMANN-WIGHTMAN-WIGNER-TYPE QUANTUM-FIELD THEORY [J].
AHLUWALIA, DV ;
JOHNSON, MB ;
GOLDMAN, T .
PHYSICS LETTERS B, 1993, 316 (01) :102-108
[2]   On the parity degeneracy of baryons [J].
Kirchbach, M .
MODERN PHYSICS LETTERS A, 1997, 12 (31) :2373-2386
[3]  
RYDER LH, 1996, QUANTUM FIELD
[4]  
WIGNER DP, 1964, LECT IST SUMM SCH TH, P37