Theta-terms in nonlinear sigma-models

被引：145

作者：

Abanov, AG

Wiegmann, PB

机构：

[1] MIT, Dept Phys, Cambridge, MA 02139 USA

[2] Univ Chicago, James Franck Inst, Enrico Fermi Inst, Chicago, IL 60637 USA

[3] LD Landau Theoret Phys Inst, Chicago, IL 60637 USA

来源：

NUCLEAR PHYSICS B | 2000年 / 570卷 / 03期

基金：

美国国家科学基金会;

关键词：

topological terms; Hopf term; Sigma-model; effective action; induced charge; spin and statistics of solitons;

D O I：

10.1016/S0550-3213(99)00820-2

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：

We trace the origin of theta-terms in nonlinear sigma-models as a nonperturbative anomaly of current algebras. The nonlinear sigma-models emerge as a low energy limit of fermionic sigma-models. The latter describe Dirac fermions coupled to chiral bosonic fields. We discuss the geometric phases in three hierarchies of fermionic sigma-models in space-time dimension (d+1) with chiral bosonic fields taking values on d-, d + 1-, and d + 2-dimensional spheres. The geometric phases in the first two hierarchies are theta-terms. We emphasize a relation between B-terms and quantum numbers of solitons, (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：685 / 698

页数：14

共 29 条

[1] BOSONIZATION ON HIGHER GENUS RIEMANN SURFACES [J].