GAUGE-INVARIANT ANYON OPERATORS AND SPIN-STATISTICS RELATION IN CHERN-SIMONS MATTER FIELD-THEORY

被引:24
作者
KIM, JK
KIM, WT
SHIN, H
机构
[1] SEOUL NATL UNIV,CTR THEORET PHYS,SEOUL 151742,SOUTH KOREA
[2] SEOUL NATL UNIV,DEPT PHYS,SEOUL 151742,SOUTH KOREA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 18期
关键词
D O I
10.1088/0305-4470/27/18/016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider one type of gauge-invariant anyon operators from the complex scalar field theory minimally coupled to the Chem-Simons term in 2 + 1 dimensions. In the Coulomb gauge condition, the anyonicity of operators, the multi-valued states, and the spin-statistics relation are derived by considering the proper distribution function, which appears in the definition of anyon operators. It is shown that the anyonicity is not a gauge artifact by also obtaining it in the covariant gauge.
引用
收藏
页码:6067 / 6076
页数:10
相关论文
共 18 条
[1]   FRACTIONAL STATISTICS AND THE QUANTUM HALL-EFFECT [J].
AROVAS, D ;
SCHRIEFFER, JR ;
WILCZEK, F .
PHYSICAL REVIEW LETTERS, 1984, 53 (07) :722-723
[2]   GAUGE-INDEPENDENT ANALYSIS OF CHERN-SIMONS THEORY WITH MATTER COUPLING [J].
BANERJEE, R .
PHYSICAL REVIEW LETTERS, 1992, 69 (01) :17-20
[3]   GAUGE-INVARIANCE AND BROKEN SYMMETRIES IN ANYON SUPERFLUIDS [J].
BOYANOVSKY, D .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (24) :5917-5976
[4]  
Dirac P. A. M., 1964, LECT QUANTUM MECH
[5]   QUANTUM-MECHANICS AND FIELD-THEORY WITH FRACTIONAL SPIN AND STATISTICS [J].
FORTE, S .
REVIEWS OF MODERN PHYSICS, 1992, 64 (01) :193-236
[6]   RELATIVISTIC QUANTUM-FIELD THEORY WITH FRACTIONAL SPIN AND STATISTICS [J].
FORTE, S ;
JOLICOEUR, T .
NUCLEAR PHYSICS B, 1991, 350 (03) :589-620
[7]  
FROLICH J, 1991, NUCL PHYS B, V356, P533
[8]  
HALPERIN BI, 1984, PHYS REV LETT, V52, P2390, DOI 10.1103/PhysRevLett.52.2390.4
[9]   STATISTICS OF QUASIPARTICLES AND THE HIERARCHY OF FRACTIONAL QUANTIZED HALL STATES [J].
HALPERIN, BI .
PHYSICAL REVIEW LETTERS, 1984, 52 (18) :1583-1586
[10]   CLASSICAL AND QUANTAL NONRELATIVISTIC CHERN-SIMONS THEORY [J].
JACKIW, R ;
PI, SY .
PHYSICAL REVIEW D, 1990, 42 (10) :3500-3513