Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-09
Nucl.Phys. B723 (2005) 3-32
Physics
High Energy Physics
High Energy Physics - Theory
41 pages, LaTeX, 12 figures, minor changes, final version in NPB
Scientific paper
10.1016/j.nuclphysb.2005.06.011
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.
Sieg Christoph
Torrielli Alessandro
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