A perturbative construction of lattice chiral fermions

被引：48

作者：

Bietenholz, W ^{[1
]}

Wiese, UJ ^{[1
]}

机构：

[1] MIT, DEPT PHYS, CAMBRIDGE, MA 02139 USA

来源：

PHYSICS LETTERS B | 1996年 / 378卷 / 1-4期

关键词：

D O I：

10.1016/0370-2693(96)00381-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We perform a renormalization group transformation to construct perturbatively a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields, Integrating out the continuum variables we derive a chirally invariant effective action for the lattice fields. This is consistent with the Nielsen-Ninomiya theorem because the effective action is nonlocal. We also construct the axial current on the lattice and we show that the axial anomaly of the continuum theory is reproduced in the Schwinger model.

引用

页码：222 / 226

页数：5

共 42 条

[1] A LATTICE GLOBAL CHIRAL INVARIANT REGULARIZATION OF THE CHIRAL SCHWINGER MODEL [J].