THE MODEL OF THE RELATIVISTIC PARTICLE WITH TORSION

被引:119
作者
PLYUSHCHAY, MS
机构
[1] Institute for High Energy Physics, SU- 142284 Moscow Region, Protvino
关键词
D O I
10.1016/0550-3213(91)90555-C
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The model of the relativistic particle with torsion, whose action appears in the Bose-Fermi transmutation mechanism, is canonically quantized in the Minkowski and euclidean spaces. In the Minkowski space there are massive, massless and tachyonic states in the spectrum of the model. In the massive sector the spectrum contains an infinite number of states, whose spin can take integer, half-integer, or fractional values. In the euclidean space, the spectrum is finite and the spin can only be integer, or half-integer. The reasons for the differences of the quantum theory of the model in the two spaces are elucidated.
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页码:54 / 72
页数:19
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共 42 条
[21]  
Majorana E., 1932, NUOVO CIMENTO, V9, P335, DOI 10.1007/BF02959557
[22]   CANONICAL STRUCTURES AND BOSE-FERMI TRANSMUTATIONS IN (2+1)-DIMENSIONAL U(1) GAUGE-THEORIES [J].
MATSUYAMA, T .
PHYSICS LETTERS B, 1989, 228 (01) :99-103
[23]   EXOTIC SPIN IN QUANTUM-MECHANICS COUPLED TO CHERN-SIMONS TERM [J].
MATSUYAMA, T .
PHYSICS LETTERS A, 1990, 144 (02) :59-64
[24]  
NANOBASHVILI GG, 1989, IHEP89233 PREPR
[25]  
NESTERENKO VV, 1990, JINR E290208 PREPR
[26]   ROTATIONAL ANOMALY AND FRACTIONAL SPIN IN THE GAUGED CP1 NONLINEAR SIGMA-MODEL WITH THE CHERN-SIMONS TERM [J].
PANIGRAHI, PK ;
ROY, S ;
SCHERER, W .
PHYSICAL REVIEW LETTERS, 1988, 61 (25) :2827-2830
[28]   MASSIVE RELATIVISTIC POINT PARTICLE WITH RIGIDITY [J].
PLYUSHCHAY, MS .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (15) :3851-3865
[29]   RELATIVISTIC PARTICLE WITH TORSION, MAJORANA EQUATION AND FRACTIONAL SPIN [J].
PLYUSHCHAY, MS .
PHYSICS LETTERS B, 1991, 262 (01) :71-78
[30]   RELATIVISTIC MODEL OF THE ANYON [J].
PLYUSHCHAY, MS .
PHYSICS LETTERS B, 1990, 248 (1-2) :107-111