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Towards a bootstrap approach to higher orders of epsilon expansion

Dey, Parijat and Kaviraj, Apratim (2018) Towards a bootstrap approach to higher orders of epsilon expansion. In: JOURNAL OF HIGH ENERGY PHYSICS (2).

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Official URL: http://dx.doi.org/10.1007/JHEP02(2018)153

Abstract

We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory. First we do a large spin analysis for CFT data where we use results obtained from the usual and the Mellin Bootstrap and also from Feynman diagram literature. This gives new predictions at O(epsilon(4)) and O(epsilon(5)) for anomalous dimensions and OPE coefficients, and also provides a cross-check for the results from Mellin Bootstrap. These higher orders get contributions from all higher spin operators in the crossed channel. We also use the Bootstrap in Mellin space method for phi(3) in d = 6 - epsilon CFT where we calculate general higher spin OPE data. We demonstrate a higher loop order calculation in this approach by summing over contributions from higher spin operators of the crossed channel in the same spirit as before.

Item Type: Journal Article
Additional Information: Copy right for the article belong to SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 19 Mar 2018 18:28
Last Modified: 19 Mar 2018 18:28
URI: http://eprints.iisc.ac.in/id/eprint/59239

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