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Wrapping interactions and the genus expansion of the 2-point function of composite operators

Sieg, C and Torrielli, A (2005) Wrapping interactions and the genus expansion of the 2-point function of composite operators Nuclear Physics B, 723 (1-2). 3 - 32. ISSN 0550-3213

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Abstract

We perform a systematic analysis of wrapping interactions for a general class of theories with color degrees of freedom, including N=4 SYM. Wrapping interactions arise in the genus expansion of the 2-point function of composite operators as finite size effects that start to appear at a certain order in the coupling constant at which the range of the interaction is equal to the length of the operators. We analyze in detail the relevant genus expansions, and introduce a strategy to single out the wrapping contributions, based on adding spectator fields. We use a toy model to demonstrate our procedure, performing all computations explicitly. Although completely general, our treatment should be particularly useful for applications to the recent problem of wrapping contributions in some checks of the AdS/CFT correspondence.

Item Type: Article
Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in Nuclear Physics B. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nuclear Physics B, 723 (1-2), September 2005, DOI 10.1016/j.nuclphysb.2005.06.011.
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 21 Feb 2012 16:05
Last Modified: 23 Sep 2013 18:58
URI: http://epubs.surrey.ac.uk/id/eprint/72399

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