Global Conformal Invariance and Bilocal Fields with Rational Correlation Functions
| dc.creator | Nikolov, Nikolay M. | |
| dc.creator | Stanev, Yassen S. | |
| dc.creator | Todorov, Ivan T. | |
| dc.date | 2002-11-12 | |
| dc.date | 2002-12-16 | |
| dc.date.accessioned | 2026-07-07T04:14:29Z | |
| dc.date.available | 2026-07-07T04:14:29Z | |
| dc.description | The singular part of the \textit{operator product expansion} (OPE) of a pair of \textit{globally conformal invariant} (GCI) scalar fields $ϕ$ of (integer) dimension $d$ can be written as a sum of the 2-point function of $ϕ$ and $d-1$ bilocal conformal fields $V_ν(x_1, x_2)$ of dimension $(ν, ν)$, $ν= 1, ..., d-1$. As the correlation functions of $ϕ(x)$ are proven to be rational [6], we argue that the correlation functions of $V_ν$ can also be assumed rational. Each $V_ν(x_1, x_2)$ is expanded into local symmetric tensor fields of \textit{twist} (dimension minus rank) $2ν$. The case $d=2$, considered previously [5], is briefly reviewed and current work on the $d=4$ case (of a Lagrangean density in 4 space--time dimensions) is previewed. | |
| dc.description | 13 pages, LATEX, amsfonts, latexsym | |
| dc.identifier | https://arxiv.org/abs/hep-th/0211106 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0211106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51640 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Global Conformal Invariance and Bilocal Fields with Rational Correlation Functions | |
| dc.type | text |