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The critical O(N) CFT: Methods and conformal data

2022/01/24 by Johan Henriksson, Henriksson, Johan · 16 citations
Pharmacology, Toxicology and Pharmaceutics · Chemistry · #Fluorine in Organic Chemistry #Inorganic Fluorides and Related Compounds

paper · pdf · doi:10.48550/arxiv.2201.09520

Abstract

The critical O(N) CFT in spacetime dimensions 2 < d < 4 is one of the most important examples of a conformal field theory, with the Ising CFT at N=1, 2 ≤ d < 4, as a notable special case. Apart from numerous physical applications, it serves frequently as a concrete testing ground for new approaches and techniques based on conformal symmetry. In the perturbative limits - the 4-ε expansion, the large N expansion and the 2+ε expansion - a lot of conformal data have been computed over the years. In this report, we give an overview of the critical O(N) CFT, including some methods to study it, and present a large collection of conformal data. The data, extracted from the literature and supplemented by many additional computations of order ε anomalous dimensions, are made available through an ancillary data file.

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