SCALE AND CONFORMAL-INVARIANCE IN CHERN-SIMONS-MATTER FIELD-THEORY

被引：30

作者：

CHEN, W ^{[1
]}

SEMENOFF, GW ^{[1
]}

WU, YS ^{[1
]}

机构：

[1] UNIV BRITISH COLUMBIA, DEPT PHYS, VANCOUVER V6T 2A6, BC, CANADA

来源：

PHYSICAL REVIEW D | 1991年 / 44卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.44.R1625

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study perturbative renormalization of D = 3 Chern-Simons gauge theory coupled to scalar and fermionic matter. We show that in the non-Abelian case the coefficient of the Chern-Simons term has infinite renormalization and that both the matter and the non-Abelian guage fields acquire nonvanishing anomalous dimensions at the two-loop level. However, the two-loop beta-function of the guage coupling always vanishes, indicating that scale and conformal invariance survive quantization and infinite renormalization.

引用

页码：R1625 / R1628

页数：4

共 30 条

[21] CANONICAL QUANTUM-FIELD THEORY WITH EXOTIC STATISTICS [J].

SEMENOFF, GW .

PHYSICAL REVIEW LETTERS, 1988, 61 (05) :517-520

[22]

SEMENOFF GW, 1990, MOD PHYS LETT A, V5, P1833

[23] WARD IDENTITIES AND CHARGE RENORMALIZATION OF YANG-MILLS FIELD [J].

TAYLOR, JC .

NUCLEAR PHYSICS B, 1971, B 33 (02) :436-+

[24] NEW APPROACH TO RENORMALIZATION GROUP [J].

WEINBERG, S .

PHYSICAL REVIEW D, 1973, 8 (10) :3497-3509

[25] COMPRESSIBILITY AND SUPERFLUIDITY IN THE FRACTIONAL-STATISTICS LIQUID [J].

WEN, XG ;

ZEE, A .

PHYSICAL REVIEW B, 1990, 41 (01) :240-253

[26] LINKING NUMBERS, SPIN, AND STATISTICS OF SOLITONS [J].

WILCZEK, F ;

ZEE, A .

PHYSICAL REVIEW LETTERS, 1983, 51 (25) :2250-2252

[27] QUANTUM-FIELD THEORY AND THE JONES POLYNOMIAL [J].

WITTEN, E .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (03) :351-399

[28] COMMENTS ON THE HOPF LAGRANGIAN AND FRACTIONAL STATISTICS OF SOLITONS [J].

WU, YS ;

ZEE, A .

PHYSICS LETTERS B, 1984, 147 (4-5) :325-329

[29]

Yi-Hong Chen, 1989, International Journal of Modern Physics B, V3, P1001, DOI 10.1142/S0217979289000725

[30] EFFECTIVE FIELD-THEORY MODEL FOR THE FRACTIONAL QUANTUM HALL-EFFECT [J].

ZHANG, SC ;

HANSSON, TH ;

KIVELSON, S .

PHYSICAL REVIEW LETTERS, 1989, 62 (01) :82-85

← 1 2 3 →