Non-renormalization theorems without supergraphs: the Wess-Zumino model

被引:15
作者
Flume, R [1 ]
Kraus, E [1 ]
机构
[1] Univ Bonn, Inst Phys, D-53115 Bonn, Germany
关键词
D O I
10.1016/S0550-3213(99)00766-X
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
The non-renormalization theorems of chiral vertex functions are derived on the basis of an algebraic analysis. The property, that the interaction vertex is a second supersymmetry variation of a lower dimensional field monomial, is used to relate chiral Green functions to superficially convergent Green functions by extracting the two supersymmetry variations from an internal vertex and transforming them to derivatives acting on external legs. The analysis is valid in the massive as well as in the massless model and can be performed irrespective of properties of the superpotential at vanishing momentum. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:625 / 642
页数:18
相关论文
共 19 条
[1]   UBER DIE MULTIPLIKATION DER KAUSALFUNKTIONEN IN DER QUANTENTHEORIE DER FELDER [J].
BOGOLIUBOW, NN ;
PARASIUK, OS .
ACTA MATHEMATICA, 1957, 97 (3-4) :227-266
[2]   RENORMALIZATION THEORY IN SUPERSPACE [J].
CLARK, TE ;
PIGUET, O ;
SIBOLD, K .
ANNALS OF PHYSICS, 1977, 109 (02) :418-467
[3]  
FLUME R, 1984, PHYS LETT B, V35, P147
[4]   PERTURBATION CALCULATIONS FOR SCALAR MULTIPLET IN A SUPERFIELD FORMULATION [J].
FUJIKAWA, K ;
LANG, W .
NUCLEAR PHYSICS B, 1975, B 88 (01) :61-76
[5]   IMPROVED METHODS FOR SUPERGRAPHS [J].
GRISARU, MT ;
SIEGEL, W ;
ROCEK, M .
NUCLEAR PHYSICS B, 1979, 159 (03) :429-450
[6]   SUPERGRAPHITY .2. MANIFESTLY COVARIANT RULES AND HIGHER-LOOP FINITENESS [J].
GRISARU, MT ;
SIEGEL, W .
NUCLEAR PHYSICS B, 1982, 201 (02) :292-314
[7]  
Hepp K., 1966, Commun. Math. Phys., V2, P301, DOI DOI 10.1007/BF01773358
[8]   BROKEN SUPERGAUGE SYMMETRY AND RENORMALIZATION [J].
ILIOPOULOS, J ;
ZUMINO, B .
NUCLEAR PHYSICS B, 1974, 76 (02) :310-332
[9]   NOT THE NON-RENORMALIZATION THEOREM [J].
JACK, I ;
JONES, DRT ;
WEST, P .
PHYSICS LETTERS B, 1991, 258 (3-4) :382-385
[10]   LOCAL COUPLINGS, DOUBLE INSERTIONS AND THE WEYL CONSISTENCY CONDITION [J].
KRAUS, E ;
SIBOLD, K .
NUCLEAR PHYSICS B, 1993, 398 (01) :125-154