INSTANTONS AND MASSLESS FERMIONS IN (2+1)-DIMENSIONAL LATTICE QED AND ANTIFERROMAGNETS

被引：60

作者：

MARSTON, JB

机构：

[1] Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 64卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.64.1166

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Lattice U(1) instantons in 2+1 dimensions have no fermion zero modes and do not break U(2n) flavor symmetry. Nevertheless, instantons in the presence of massless fermions interact via logarithmic potentials. These results are applied to the flux phase of a SU(n) antiferromagnet and the possibility of a transition from a gapless spin-liquid state to Néel order as n decreases from 4 to 2 is discussed. © 1990 The American Physical Society.

引用

收藏

页码：1166 / 1169

页数：4

相关论文

共 23 条

[1] INSTANTONS AND (SUPER-) SYMMETRY-BREAKING IN (2+1) DIMENSIONS [J].

AFFLECK, I ;

HARVEY, J ;

WITTEN, E .

NUCLEAR PHYSICS B, 1982, 206 (03) :413-439

[2] CRITICAL-BEHAVIOR IN (2+1)-DIMENSIONAL QED [J].

APPELQUIST, T ;

NASH, D ;

WIJEWARDHANA, LCR .

PHYSICAL REVIEW LETTERS, 1988, 60 (25) :2575-2578

[3]

BESSON C, 1981, THESIS PRINCETON U

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

CALLIAS, C .

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

[5] GROUND-STATE AND LOW-LYING EXCITATIONS OF THE HEISENBERG-ANTIFERROMAGNET [J].

CARLSON, J .

PHYSICAL REVIEW B, 1989, 40 (01) :846-849

[6] COMPUTER-SIMULATION OF CHIRAL-SYMMETRY BREAKING IN (2+1)-DIMENSIONAL QED WITH N-FLAVORS [J].

DAGOTTO, E ;

KOGUT, JB ;

KOCIC, A .

PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1083-1086

[7] Quantised singularities in the electromagnetic field [J].

Dirac, PAM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1931, 133 (821) :60-72

[8]

GROS C, UNPUB

[9] O(3) NONLINEAR SIGMA-MODEL AND THE TOPOLOGICAL DISTINCTION BETWEEN INTEGER-SPIN AND HALF-INTEGER-SPIN ANTIFERROMAGNETS IN 2 DIMENSIONS [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1988, 61 (08) :1029-1032

[10]

HANDS S, COMMUNICATION