The renormalization group flow in 2D N=2 SUSY Landau-Ginsburg models

Details The renormalization group flow in 2D N=2 SUSY Landau-Ginsburg models The renormalization group flow in 2D N=2 SUSY Landau-Ginsburg models

1991-09-03

arxiv.org/abs/hep-th/9109003v1

Int.J.Mod.Phys.A8:3945-3964,1993

Physics

High Energy Physics

High Energy Physics - Theory

26 p. (the revised version)

Scientific paper

10.1142/S0217751X93001600

We investigate the renormalization of N=2 SUSY L-G models with central charge $c=3p/(2+p)$ perturbed by an almost marginal chiral operator. We calculate the renormalization of the chiral fields up to $gg{^*}$ order and of nonchiral fields up to $g(g^{*})$ order. We propose a formulation of the nonrenormalization theorem and show that it holds in the lowest nontrivial order. It turns out that, in this approximation, the chiral fields can not get renormalized $\Phi^{k}=\Phi^{k}_{0}$. The $\beta$ function then remains unchanged $\beta=\epsilon gr$.

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