BOSONIZATION AS DUALITY

被引：80

作者：

BURGESS, CP ^{[1
]}

QUEVEDO, F ^{[1
]}

机构：

[1] MCGILL UNIV,DEPT PHYS,MONTREAL H3A 2T8,QUEBEC,CANADA

来源：

NUCLEAR PHYSICS B | 1994年 / 421卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0550-3213(94)90332-8

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 show how to systematically derive the rules for bosonization in two dimensions as a particular case of a duality transformation. The duality process amounts to gauging the global symmetry of the original (fermionic) theory, and constraining the corresponding field strength F(munu) to vanish. Integration over the Lagrange multiplier, LAMBDA, for this constraint then reproduces the original theory, and integration over the gauge fields generates the dual theory with LAMBDA as the new (bosonized) variable. We work through the bosonization of the Dirac fermion, the massive and massless Thirring models, and a fermion on a cylindrical spacetime as illustrative examples.

引用

页码：373 / 387

页数：15

共 19 条

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