Zero modes of the Dirac operator in three dimensions

被引：34

作者：

Adam, C ^{[1
]}

Muratori, B

Nash, C

机构：

[1] Trinity Coll, Sch Math, Dublin 2, Ireland

[2] Natl Univ Ireland, Dept Math Phys, Maynooth, Kildare, Ireland

来源：

PHYSICAL REVIEW D | 1999年 / 60卷 / 12期

关键词：

D O I：

10.1103/PhysRevD.60.125001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We investigate zero modes of the Dirac operator coupled to an Abelian gauge field in three dimensions. We find that the existence of a certain class of zero modes is related to a specific topological property precisely when the requirement of finite Chern-Simons action is imposed. [S0556-2821(99)03720-0].

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页数：8

相关论文

共 10 条

[1]

ATIYAH MF, 1968, ANN MATH, V87, P546, DOI 10.2307/1970717

[2] AXIAL ANOMALIES AND INDEX THEOREMS ON OPEN SPACES [J].

CALLIAS, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 62 (03) :213-234

[3] STABILITY OF COULOMB-SYSTEMS WITH MAGNETIC-FIELDS .1. THE ONE-ELECTRON ATOM [J].

FROHLICH, J ;

LIEB, EH ;

LOSS, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (02) :251-270

[4] Paramagnetism, zero modes, and mass singularities in QED in 1+1, 2+1, and 3+1 dimensions [J].

Fry, MP .

PHYSICAL REVIEW D, 1997, 55 (02) :968-972

[5] QED in inhomogeneous magnetic fields [J].

Fry, MP .

PHYSICAL REVIEW D, 1996, 54 (10) :6444-6452

[6] Rational maps, monopoles and skyrmions [J].

Houghton, CJ ;

Manton, NS ;

Sutcliffe, PM .

NUCLEAR PHYSICS B, 1998, 510 (03) :507-537

[7] SPINOR ANALYSIS OF YANG-MILLS THEORY [J].

JACKIW, R ;

REBBI, C .

PHYSICAL REVIEW D, 1977, 16 (04) :1052-1060

[8] QUANTUM MEANING OF CLASSICAL FIELD-THEORY [J].

JACKIW, R .

REVIEWS OF MODERN PHYSICS, 1977, 49 (03) :681-706

[9]

JACKIW R, 1985, CURRENT ALGEBRAS ANO, P78101

[10] STABILITY OF COULOMB-SYSTEMS WITH MAGNETIC-FIELDS .3. ZERO ENERGY BOUND-STATES OF THE PAULI OPERATOR [J].

LOSS, M ;

YAU, HT .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (02) :283-290