Abstract
The kählerian sigma models in two-dimensional space-time are investigated. A convenient parametrization is used and its classical properties, lagrangian and symmetries, are studied. Within dimensional regularization, quantum divergences are then shown to be proportional to the invariant lagrangian. A calculation of the one-loop divergences for a large class of kählerian models is presented, and the result is used to compute the one-loop β-function.
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