Harmonic bilocal fields generated by globally conformal invariant scalar fields
| dc.creator | Nikolov, Nikolay M. | |
| dc.creator | Rehren, Karl-Henning | |
| dc.creator | Todorov, Ivan | |
| dc.date | 2007-04-16 | |
| dc.date | 2008-01-16 | |
| dc.date.accessioned | 2026-07-07T11:20:16Z | |
| dc.date.available | 2026-07-07T11:20:16Z | |
| dc.description | The twist two contribution in the operator product expansion of phi_1(x_1) phi_2(x_2) for a pair of globally conformal invariant, scalar fields of equal scaling dimension d in four space-time dimensions is a field V_1(x_1,x_2) which is harmonic in both variables. It is demonstrated that the Huygens bilocality of V_1 can be equivalently characterized by a "single-pole property" concerning the pole structure of the (rational) correlation functions involving the product phi_1(x_1) phi_2(x_2). This property is established for the dimension d=2 of phi_1, phi_2. As an application we prove that any system of GCI scalar fields of conformal dimension 2 (in four space-time dimensions) can be presented as a (possibly infinite) superposition of products of free massless fields. | |
| dc.description | 29 pages. v2: corrected an argument, v4: final version as to be published in CMP | |
| dc.identifier | https://arxiv.org/abs/0704.1960 | |
| dc.identifier | http://arxiv.org/abs/0704.1960 | |
| dc.identifier | Commun.Math.Phys.279:225-250,2008 | |
| dc.identifier | doi:10.1007/s00220-007-0394-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193909 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Harmonic bilocal fields generated by globally conformal invariant scalar fields | |
| dc.type | text |