Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1097.81734
Dolan, F.A.; Osborn, H.
Conformal four point functions and the operator product expansion. (English)
[J] Nucl. Phys., B 599, No. 1-2, 459-496 (2001). ISSN 0550-3213

Summary: Various aspects of the four point function for scalar fields in conformally invariant theories are analysed. This depends on an arbitrary function of two conformal invariants $u,v$. A recurrence relation for the function corresponding to the contribution of an arbitrary spin field in the operator product expansion to the four point function is derived. This is solved explicitly in two and four dimensions in terms of ordinary hypergeometric functions of variables $z,x$ which are simply related to $u,v$. The operator product expansion analysis is applied to the explicit expressions for the four point function found for free scalar, fermion and vector field theories in four dimensions. The results for four point functions obtained by using the AdS/CFT correspondence are also analysed in terms of functions related to those appearing in the operator product discussion.

MSC 2000:: *81T40 Two-dimensional field theories, etc.
33C90 Appl. of hypergeometric functions
81R10 Repres. of infinite-dim. groups and algebras from quantum theory

Keywords: recurrence relation; AdS/CFT correspondence; hypergeometric functions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]