The shadow operator formalism for conformal algebra. Vacuum expectation values and operator products
The shadow operator formalism for conformal algebra. Vacuum expectation values and operator products
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DOI：
10.1007/bf02907130
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发表时间：
1972
期刊：
影响因子：
--
通讯作者：
S. Ferrara;A. Grillo;G. Parisi;R. Gatto
中科院分区：
文献类型：
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作者：
S. Ferrara;A. Grillo;G. Parisi;R. Gatto
在深度非弹性电生产中的密封假说 (s, 9) 取得成功以及理论论证表明算子产物的小距离行为可以从零质量的极限中获得 (10, 11) 后，共形协方差 (1-7) 最近引起了物理界的兴趣。在这篇文章中，我们提出了一组共形协变理论的一般属性。形式主义完全在时空中表述，共角对称的要求只需在庞加莱代数加膨胀中添加一个非线性离散运算即可实现，称为坐标反演R，在时空上定义为Rx,: x,/x~(1.1~)。
Conformal covariance (1-7) has recently become of physical interest after the success of the sealing hypothesis in deep inelastic electroproduction (s, 9) and the theoretical arguments showing that the small-distance behaviour of operator products may be obtained from limits of zero mass (10, 11). In this note we present a set of general properties of conformal covariant theories. The formalism is entirely formulated in space-time and the requirement of conformal symmetry is simply achieved by adding to the Poincar~ algebra plus dilatation a nonlinear discrete operation, to be called co-ordinate inversion, R, defined on space-time as Rx,: x,/x~(1.1~).