Globally conformal invariant gauge field theory with rational correlation functions

被引：17

作者：

Nikolov, NM

Stanev, YS

Todorov, IT

机构：

[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BG-1784 Sofia, Bulgaria

[2] Ist Nazl Fis Nucl, Sez Roma 2, I-00133 Rome, Italy

[3] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland

来源：

NUCLEAR PHYSICS B | 2003年 / 670卷 / 03期

关键词：

NON-RENORMALIZATION; STRESS-TENSOR; REPRESENTATIONS;

D O I：

10.1016/j.nuclphysb.2003.08.006

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：

Operator product expansions (OPE) for the product of a scalar field with its conjugate are presented as infinite sums of bilocal fields V-kappa(x(1), x(2)) of dimension (kappa, kappa). For a globally conformal invariant (GCI) theory we write down the OPE of VK into a series of twist (dimension minus rank) 2kappa symmetric traceless tensor fields with coefficients computed from the (rational) 4-point function of the scalar field. We argue that the theory of a GCI hermitian scalar field L(x) of dimension 4 in D = 4 Minkowski space such that the 3-point functions of a pair of L's and a scalar field of dimension 2 or 4 vanish can be interpreted as the theory of local observables of a conformally invariant fixed point in a gauge theory with Lagrangian density L(x). (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：373 / 400

页数：28