QUADRATIC DIVERGENCES AND DIMENSIONAL REGULARIZATION IN 2 AND 4 DIMENSIONS

被引：15

作者：

ALSARHI, MS ^{[1
]}

JACK, I ^{[1
]}

JONES, DRT ^{[1
]}

机构：

[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND

来源：

NUCLEAR PHYSICS B | 1990年 / 345卷 / 2-3期

关键词：

D O I：

10.1016/0550-3213(90)90394-S

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 calculate the quadratic divergences through four loops in renormalisable scalar theories in four dimensions and sigma models in two dimensions. A previous conjecture concerning the relationship between quadratic divergences and scale invariance is found to fail at the four-loop level. © 1990.

引用

页码：431 / 444

页数：14

共 47 条

[1] THE N = 1 SUPERSYMMETRIC SIGMA-MODEL WITH TORSION - THE 2-LOOP BETA-FUNCTIONS [J].

ALLEN, RW ;

JONES, DRT .

NUCLEAR PHYSICS B, 1988, 303 (02) :271-285

[2] CONSISTENCY IN DIMENSIONAL REGULARIZATION WITH GAMMA-5 [J].

BONNEAU, G .

PHYSICS LETTERS B, 1980, 96 (1-2) :147-150

[3] TRACE AND AXIAL ANOMALIES IN DIMENSIONAL RENORMALIZATION THROUGH ZIMMERMANN-LIKE IDENTITIES [J].

BONNEAU, G .

NUCLEAR PHYSICS B, 1980, 171 (03) :477-508

[4] PRESERVING CANONICAL WARD IDENTITIES IN DIMENSIONAL REGULARIZATION WITH A NON-ANTICOMMUTING GAMMA-5 [J].

BONNEAU, G .

NUCLEAR PHYSICS B, 1981, 177 (03) :523-527

[5]

Brezin E., 1976, PHASE TRANSITIONS CR, V6

[6] REGULARIZATION BY DIMENSIONAL REDUCTION OF SUPERSYMMETRIC AND NON-SUPERSYMMETRIC GAUGE-THEORIES [J].

CAPPER, DM ;

JONES, DRT ;

VANNIEUWENHUIZEN, P .

NUCLEAR PHYSICS B, 1980, 167 (03) :479-499

[7] QUADRATIC AND QUARTIC ONE-LOOP DIVERGENCES IN GAUGE-THEORIES AND THEIR CANCELLATION IN SUPERGRAVITY [J].

CASTELLANI, L ;

VANNIEUWENHUIZEN, P .

NUCLEAR PHYSICS B, 1983, 213 (02) :305-326

[8] ON THE UNIQUENESS OF SUPERSYMMETRY FOR THE CANCELLATION OF QUADRATIC DIVERGENCES [J].

DESHPANDE, NG ;

JOHNSON, RJ ;

ERNEST, MA .

PHYSICS LETTERS B, 1983, 130 (1-2) :61-65

[9] DOES THE CANCELLATION OF QUADRATIC DIVERGENCES IMPLY SUPERSYMMETRY [J].

DESHPANDE, NG ;

JOHNSON, RJ ;

MA, E .

PHYSICAL REVIEW D, 1984, 29 (12) :2851-2859

[10] PERTURBATION-THEORY AND RENORMALIZATION OF SUPERSYMMETRIC YANG-MILLS THEORIES [J].

FERRARA, S ;

PIGUET, O .

NUCLEAR PHYSICS B, 1975, 93 (02) :261-302

← 1 2 3 4 5 →