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epsilon-expansions near three dimensions from conformal field theory

Basu, Pallab and Krishnan, Chethan (2015) epsilon-expansions near three dimensions from conformal field theory. In: JOURNAL OF HIGH ENERGY PHYSICS (11).

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Official URL: http://dx.doi.org/10.1007/JHEP11(2015)040

Abstract

We formally extend the CFT techniques introduced in arXiv: 1505.00963, to phi(2d0/d0-2) theory in d = d(0) dimensions and use it to compute anomalous dimensions near d(0) = 3, 4 in a unified manner. We also do a similar analysis of the O(N) model in three dimensions by developing a recursive combinatorial approach for OPE contractions. Our results match precisely with low loop perturbative computations. Finally, using 3-point correlators in the CFT, we comment on why the phi(3) theory in d(0) = 6 is qualitatively different.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Conformal and W Symmetry; Renormalization Group; Field Theories in Lower Dimensions
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 06 Jan 2016 06:13
Last Modified: 06 Jan 2016 06:13
URI: http://eprints.iisc.ac.in/id/eprint/53048

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