Six-loop divergences in the supersymmetric Kahler sigma model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13pp, uses phyzzx, LTH 287 (published in Int. J. Mod. Phys. A)

Scientific paper

The two-dimensional supersymmetric $\s$-model on a K\"ahler manifold has a non-vanishing $\b$-function at four loops, but the $\b$-function at five loops can be made to vanish by a specific choice of renormalisation scheme. We investigate whether this phenomenon persists at six loops, and conclude that it does not; there is a non-vanishing six-loop $\b$-function irrespective of renormalisation scheme ambiguities.

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