THE FERMION-BOSON MAPPING IN 3-DIMENSIONAL QUANTUM-FIELD THEORY

被引：171

作者：

FRADKIN, E

SCHAPOSNIK, FA

机构：

[1] Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-3080

[2] Departamento de Física, Universidad Nacional de la Plata, 1900 La Plata

来源：

PHYSICS LETTERS B | 1994年 / 338卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0370-2693(94)91374-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chem-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.

引用

页码：253 / 258

页数：6

共 25 条

[1]

[Anonymous], 1985, ASPECTS SYMMETRY SEL, DOI DOI 10.1017/CBO9780511565045

[2] QUANTUM SINE-GORDON EQUATION AS MASSIVE THIRRING MODEL [J].