KAPLAN-NARAYANAN-NEUBERGER LATTICE FERMIONS PASS A PERTURBATIVE TEST

被引：17

作者：

AOKI, S ^{[1
]}

LEVIEN, RB ^{[1
]}

机构：

[1] PRINCETON UNIV, JOSEPH HENRY LABS, DEPT PHYS, PRINCETON, NJ 08544 USA

来源：

PHYSICAL REVIEW D | 1995年 / 51卷 / 07期

关键词：

D O I：

10.1103/PhysRevD.51.3790

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We test perturbatively a recent scheme for implementing chiral fermions on the lattice, proposed by Kaplan and modified by Narayanan and Neuberger, using as our testing ground the chiral Schwinger model. The scheme is found to reproduce the desired form of the effective action, whose real part is gauge invariant and whose imaginary part gives the correct anomaly in the continuum limit, once technical problems relating to the necesary infinite extent of the extra dimension are properly addressed. The indications from this study are that the Kaplan-Narayanan-Neuberger scheme has a good chance at being a correct lattice regularization of chiral gauge theories. © 1995 The American Physical Society.

引用

页码：3790 / 3802

页数：13

共 26 条

[1] ANOMALY THROUGH GAUGE-INVARIANT REGULARIZATION WITH INFINITE NUMBER OF PAULI-VILLARS FIELDS [J].

AOKI, S ;

KIKUKAWA, Y .

MODERN PHYSICS LETTERS A, 1993, 8 (37) :3517-3528

[2] PERTURBATIVE ANALYSIS FOR KAPLAN LATTICE CHIRAL FERMIONS [J].

AOKI, S ;

HIROSE, H .

PHYSICAL REVIEW D, 1994, 49 (05) :2604-2615

[3] CHIRAL GAUGE-THEORIES ON A LATTICE AND APPLICATION TO THE CHIRAL SCHWINGER MODEL [J].

AOKI, S .

PHYSICAL REVIEW D, 1988, 38 (02) :618-626

[4] CHIRAL GAUGE-THEORIES ON A LATTICE [J].

AOKI, S .

PHYSICAL REVIEW LETTERS, 1988, 60 (21) :2109-2112

[5] LATTICE FERMIONS IN THE SCHWINGER MODEL [J].

BODWIN, GT ;

KOVACS, EV .

PHYSICAL REVIEW D, 1987, 35 (10) :3198-3218

[6] PARITY ANOMALY AND FERMION-BOSON TRANSMUTATION IN 3-DIMENSIONAL LATTICE QED [J].

COSTE, A ;

LUSCHER, M .

NUCLEAR PHYSICS B, 1989, 323 (03) :631-659

[7]

FADDEEV LD, 1989, GAUGE FIELDS INTRO Q

[8]

FUNAKUBO K, 1988, PHYS REV LETT, V60, P2113, DOI 10.1103/PhysRevLett.60.2113

[9] CHIRAL GAUGE-THEORIES WITH DOMAIN-WALL FERMIONS [J].

GOLTERMAN, M ;

JANSEN, K ;

PETCHER, D ;

VINK, JC .

NUCLEAR PHYSICS B, 1994, :593-595

[10] INVESTIGATION OF THE DOMAIN-WALL FERMION APPROACH TO CHIRAL GAUGE-THEORIES ON THE LATTICE [J].

GOLTERMAN, MFL ;

JANSEN, K ;

PETCHER, DN ;

VINK, JC .

PHYSICAL REVIEW D, 1994, 49 (03) :1606-1620

← 1 2 3 →