Conformal four point functions and the operator product expansion
F.A. Dolan,Hugh Osborn +1 more
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TL;DR: In this paper, 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 for scalar fields in conformally invariant theories is derived.
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About: This article is published in Nuclear Physics. The article was published on 02 Apr 2001. and is currently open access. The article focuses on the topics: Operator product expansion & Conformal field theory.
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Citations
Leading CFT constraints on multi-critical models in d > 2
TL;DR: In this article, a family of renormalizable scalar QFTs with self-interacting potentials of highest monomial ϕ m ≥ 4 were studied, and the authors used a combination of CFT constraints, Schwinger-Dyson equation and the free theory behavior at the upper critical dimension.
Minkowski conformal blocks and the Regge limit for Sachdev-Ye-Kitaev-like models
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TL;DR: In this article, a conformal partial wave analysis with Minkowski conformal blocks is discussed, and a general feature for a CFT correlation function with singular singular singular F ∆(M) ∆ (u,v) is discussed.
A New Method to Explore Conformal Field Theories in Any Dimension
Alessandro Vichi
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TL;DR: In this article, the authors studied the crossing symmetry of the four point function of scalar operators and derived consistency constraints on the CFT structure, in the form of functional sum rules.
Superconformal Ward identities and their solution
Michael Nirschl,H. Osborn +1 more
TL;DR: In this article, superconformal Ward identities for the four point functions of chiral primary BPS operators for N = 2, 4 superformal symmetry in four dimensions are derived.
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