Secondary fields and partial wave expansion. Self consistency conditions in a conformal model

V. N. Zaikin

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arXiv · 1711.00272

Secondary fields and partial wave expansion. Self consistency conditions in a conformal model

V. N. Zaikin

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Abstract

A nontrivial conformally invariant model is obtained via generalization the method of obtaining conformally invariant models in $2D$ Euclidean space to the Euclidean space with dimension $D>2$. This method was previously developed by E.S. Fradkin and M.Ya. Palchik (see [7] and reference therein). The partial wave expansion of a four-point function $\langle j_μ(x_{1})j_ν(x_{2})φ(x_{3})φ(x_{4})\rangle$ containing two conserved vector fields $j_μ$ and two scalars $φ$ of dimension $ d $ in a $D$ -dimensional Euclidean space is considered. The requirement of the absence the vector operator of the dimension $d + 1$ in this expansion allows us to find the relationship between all the coupling constants in such a model.

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V. N. Zaikin. 2017-11-13. Secondary fields and partial wave expansion. Self consistency conditions in a conformal model. https://arxiv.org/abs/1711.00272

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