TOPOLOGICAL ASPECTS OF A FERMION, CHIRAL ANOMALY, AND BERRY PHASE

被引:40
作者
BANERJEE, D
BANDYOPADHYAY, P
机构
[1] Indian Statistical Institute
关键词
D O I
10.1063/1.529752
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The relationship of the Berry phase with the topological aspects of a fermion and chiral anomaly is studied here. It is observed that this phase reflects the effect of quantum geometry when the quantization procedure of a Fermi field is considered from a classical system and may be considered as the manifestation of the multiply connected nature of quantum space-time.
引用
收藏
页码:990 / 997
页数:8
相关论文
共 30 条
[1]  
AHRANOV Y, 1987, PHYS REV LETT, V58, P1593
[2]   SL(2, C)-GAUGE THEORY, N = 1 SUPERGRAVITY AND TORSION [J].
BANDYOPADHYAY, AK ;
CHATTERJEE, P ;
BANDYOPADHYAY, P .
GENERAL RELATIVITY AND GRAVITATION, 1986, 18 (12) :1193-1205
[3]   HOLOMORPHIC QUANTUM-MECHANICS, CONFORMAL REFLECTION AND THE INTERNAL SYMMETRY OF HADRONS [J].
BANDYOPADHYAY, P .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (17) :4449-4467
[4]   STOCHASTIC QUANTIZATION OF A FERMI FIELD - FERMIONS AS SOLITONS [J].
BANDYOPADHYAY, P ;
HAJRA, K .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (03) :711-716
[5]   SO(4,2)-FORMULATION OF SYMMETRY BREAKING IN RELATIVISTIC KEPLER PROBLEMS WITH OR WITHOUT MAGNETIC CHARGES [J].
BARUT, AO ;
BORNZIN, GL .
JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (05) :841-&
[7]   GAUGE AND RECIPROCALLY INVARIANT FORMULATION OF RELATIVISTIC CANONICAL COMMUTATION RELATIONS ON QUANTUM SPACE-TIME [J].
BROOKE, JA ;
PRUGOVECKI, E .
LETTERE AL NUOVO CIMENTO, 1982, 33 (06) :171-175
[8]   REFORMULATION OF GENERAL RELATIVITY AS A GAUGE THEORY [J].
CARMELI, M ;
MALIN, S .
ANNALS OF PHYSICS, 1977, 103 (01) :208-232
[9]  
Fierz M., 1944, HELV PHYS ACTA, V17, P27
[10]  
HANSON, 1991, ACTA PHYS POL B, V22, P17